LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 36/52, 46/45, 232/709

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 36/52, 46/45, 232/709 i.e 2/1659060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/52, 46/45, 232/709.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 36/52,46/45,232/709?

Given fractions are 36/52,46/45,232/709

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 36/52,46/45,232/709, numerators are 36,46,232

Denominators are 52,45,709

The GCF of 36,46,232 is 2 .

LCM of 52,45,709 is 1659060.

The greatest common factor of 36/52,46/45,232/709 = [GCF of 36,46,232]/[LCM of 52,45,709]= 2/1659060

Therefore, the GCF of 36/52,46/45,232/709 is 2/1659060.

Greatest Common Factor of 36,46,232

To find the highest common factor of 36,46,232, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 46 are 1, 2, 23, 46

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 36,46,232 is 2.

Lets's calculate GCF of 36,46,232

Greatest Common Factor (GCF) of 36,46,232 By Common Division

2 36, 46, 232
18, 23, 116

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 36,46,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,46,232 By Matching Biggest Common Factor Method

Now, list down the factors of 36

:

1,2,3,4,6,9,12,18,36

Now, list down the factors of 46

:

1,2,23,46

Now, list down the factors of 232

:

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 36,46,232 . The biggest common factor number is the GCF number.
So the greatest common factor 36,46,232 is 2.


Lets's calculate LCM of 52,45,709

Lowest Common Multiple of 52,45,709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1659060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1659060

Therefore, the GCF of Fractions 36/52,46/45,232/709 is 2/1659060

Least Common Multiple of 52,45,709 with GCF Formula

Least Common Multiple of 52,45,709 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 52,45,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,45,709) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(52,45,709) x common factors =1 x 1 = 1

LCM(52,45,709) = ( 52 × 45 × 709 ) / 1

LCM(52,45,709) = 1659060 / 1

LCM(52,45,709) = 1659060


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 36/52, 46/45, 232/709

1. What is the HCF of 36,46,232?

The HCF of 36,46,232 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 36/52, 46/45, 232/709?

Answer: GCF of Numerators as per given numbers 36/52, 46/45, 232/709 is

GCF of Numerators i.e. for 36,46,232 is 2

LCM of denominators i.e. for 52,45,709 is 1659060.

Thus, GCF of Fractions is 2/1659060.Finally, GCF of Fractions for 36/52, 46/45, 232/709 is 2/1659060.