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GCF of 3957/836, 3769/562

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 3957/836, 3769/562 i.e 1/234916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3957/836, 3769/562.

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 3957/836,3769/562?

Given fractions are 3957/836,3769/562

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 3957/836,3769/562, numerators are 3957,3769

Denominators are 836,562

The GCF of 3957,3769 is 1 .

LCM of 836,562 is 234916.

The greatest common factor of 3957/836,3769/562 = [GCF of 3957,3769]/[LCM of 836,562]= 1/234916

Therefore, the GCF of 3957/836,3769/562 is 1/234916.

Greatest Common Factor of 3957,3769

To find the highest common factor of 3957,3769, we have to find the factors of both numbers and list the highest common factor.

The factors of 3957 are 1, 3, 1319, 3957

The factors of 3769 are 1, 3769

The HCF of 3957,3769 is 1.

Lets's calculate GCF of 3957,3769

Greatest Common Factor (GCF) of 3957,3769 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3957,3769 By Matching Biggest Common Factor Method

Greatest Common Factor of 3957,3769 By Matching Biggest Common Factor Method

Now, list down the factors of 3957

:

1,3,1319,3957

Now, list down the factors of 3769

:

1,3769

Greatest Common Factor

We found the factors 3957,3769 . The biggest common factor number is the GCF number.
So the greatest common factor 3957,3769 is 1.

Lets's calculate LCM of 836,562

Lowest Common Multiple of 836,562 using Common Division

2 836, 562
418, 281

∴ So the LCM of the given numbers is 2 x 418 x 281 = 234916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234916

Therefore, the GCF of Fractions 3957/836,3769/562 is 1/234916

Least Common Multiple of 836,562 with GCF Formula

Least Common Multiple of 836,562 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 836,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,562) = 2

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

GCF(836,562) x common factors =2 x 1 = 2

LCM(836,562) = ( 836 × 562 ) / 2

LCM(836,562) = 469832 / 2

LCM(836,562) = 234916


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FAQs on GCF of Fractions of 3957/836, 3769/562

1. What is the HCF of 3957,3769?

The HCF of 3957,3769 is 1

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 3957/836, 3769/562?

Answer: GCF of Numerators as per given numbers 3957/836, 3769/562 is

GCF of Numerators i.e. for 3957,3769 is 1

LCM of denominators i.e. for 836,562 is 234916.

Thus, GCF of Fractions is 1/234916.Finally, GCF of Fractions for 3957/836, 3769/562 is 1/234916.