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 749/137, 532/859

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 749/137, 532/859 i.e 7/117683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/137, 532/859.

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 749/137,532/859?

Given fractions are 749/137,532/859

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 749/137,532/859, numerators are 749,532

Denominators are 137,859

The GCF of 749,532 is 7 .

LCM of 137,859 is 117683.

The greatest common factor of 749/137,532/859 = [GCF of 749,532]/[LCM of 137,859]= 7/117683

Therefore, the GCF of 749/137,532/859 is 7/117683.

Greatest Common Factor of 749,532

To find the highest common factor of 749,532, we have to find the factors of both numbers and list the highest common factor.

The factors of 749 are 1, 7, 107, 749

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The HCF of 749,532 is 7.

Lets's calculate GCF of 749,532

Greatest Common Factor (GCF) of 749,532 By Common Division

7 749, 532
107, 76

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 749,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,532 By Matching Biggest Common Factor Method

Now, list down the factors of 749

:

1,7,107,749

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 749,532 . The biggest common factor number is the GCF number.
So the greatest common factor 749,532 is 7.

Lets's calculate LCM of 137,859

Lowest Common Multiple of 137,859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/117683

Therefore, the GCF of Fractions 749/137,532/859 is 7/117683

Least Common Multiple of 137,859 with GCF Formula

Least Common Multiple of 137,859 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 137,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,859) = 1

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

GCF(137,859) x common factors =1 x 1 = 1

LCM(137,859) = ( 137 × 859 ) / 1

LCM(137,859) = 117683 / 1

LCM(137,859) = 117683


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 749/137, 532/859

1. What is the HCF of 749,532?

The HCF of 749,532 is 7

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 749/137, 532/859?

Answer: GCF of Numerators as per given numbers 749/137, 532/859 is

GCF of Numerators i.e. for 749,532 is 7

LCM of denominators i.e. for 137,859 is 117683.

Thus, GCF of Fractions is 7/117683.Finally, GCF of Fractions for 749/137, 532/859 is 7/117683.