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 536/47, 724/111

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 536/47, 724/111 i.e 4/5217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/47, 724/111.

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 536/47,724/111?

Given fractions are 536/47,724/111

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 536/47,724/111, numerators are 536,724

Denominators are 47,111

The GCF of 536,724 is 4 .

LCM of 47,111 is 5217.

The greatest common factor of 536/47,724/111 = [GCF of 536,724]/[LCM of 47,111]= 4/5217

Therefore, the GCF of 536/47,724/111 is 4/5217.

Greatest Common Factor of 536,724

To find the highest common factor of 536,724, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The factors of 724 are 1, 2, 4, 181, 362, 724

The HCF of 536,724 is 4.

Lets's calculate GCF of 536,724

Greatest Common Factor (GCF) of 536,724 By Common Division

2 536, 724
2 268, 362
134, 181

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 536,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,724 By Matching Biggest Common Factor Method

Now, list down the factors of 536

:

1,2,4,8,67,134,268,536

Now, list down the factors of 724

:

1,2,4,181,362,724

Greatest Common Factor

We found the factors 536,724 . The biggest common factor number is the GCF number.
So the greatest common factor 536,724 is 4.

Lets's calculate LCM of 47,111

Lowest Common Multiple of 47,111 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5217

Therefore, the GCF of Fractions 536/47,724/111 is 4/5217

Least Common Multiple of 47,111 with GCF Formula

Least Common Multiple of 47,111 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 47,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,111) = 1

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

GCF(47,111) x common factors =1 x 1 = 1

LCM(47,111) = ( 47 × 111 ) / 1

LCM(47,111) = 5217 / 1

LCM(47,111) = 5217


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 536/47, 724/111

1. What is the HCF of 536,724?

The HCF of 536,724 is 4

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 536/47, 724/111?

Answer: GCF of Numerators as per given numbers 536/47, 724/111 is

GCF of Numerators i.e. for 536,724 is 4

LCM of denominators i.e. for 47,111 is 5217.

Thus, GCF of Fractions is 4/5217.Finally, GCF of Fractions for 536/47, 724/111 is 4/5217.