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GCF of 837/14, 682/787

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 837/14, 682/787 i.e 31/11018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/14, 682/787.

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 837/14,682/787?

Given fractions are 837/14,682/787

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 837/14,682/787, numerators are 837,682

Denominators are 14,787

The GCF of 837,682 is 31 .

LCM of 14,787 is 11018.

The greatest common factor of 837/14,682/787 = [GCF of 837,682]/[LCM of 14,787]= 31/11018

Therefore, the GCF of 837/14,682/787 is 31/11018.

Greatest Common Factor of 837,682

To find the highest common factor of 837,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 837,682 is 31.

Lets's calculate GCF of 837,682

Greatest Common Factor (GCF) of 837,682 By Common Division

31 837, 682
27, 22

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 837,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,682 By Matching Biggest Common Factor Method

Now, list down the factors of 837

:

1,3,9,27,31,93,279,837

Now, list down the factors of 682

:

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 837,682 . The biggest common factor number is the GCF number.
So the greatest common factor 837,682 is 31.

Lets's calculate LCM of 14,787

Lowest Common Multiple of 14,787 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/11018

Therefore, the GCF of Fractions 837/14,682/787 is 31/11018

Least Common Multiple of 14,787 with GCF Formula

Least Common Multiple of 14,787 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 14,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,787) = 1

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

GCF(14,787) x common factors =1 x 1 = 1

LCM(14,787) = ( 14 × 787 ) / 1

LCM(14,787) = 11018 / 1

LCM(14,787) = 11018


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FAQs on GCF of Fractions of 837/14, 682/787

1. What is the HCF of 837,682?

The HCF of 837,682 is 31

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 837/14, 682/787?

Answer: GCF of Numerators as per given numbers 837/14, 682/787 is

GCF of Numerators i.e. for 837,682 is 31

LCM of denominators i.e. for 14,787 is 11018.

Thus, GCF of Fractions is 31/11018.Finally, GCF of Fractions for 837/14, 682/787 is 31/11018.