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GCF of 790/778, 854/437

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 790/778, 854/437 i.e 2/339986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/778, 854/437.

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 790/778,854/437?

Given fractions are 790/778,854/437

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 790/778,854/437, numerators are 790,854

Denominators are 778,437

The GCF of 790,854 is 2 .

LCM of 778,437 is 339986.

The greatest common factor of 790/778,854/437 = [GCF of 790,854]/[LCM of 778,437]= 2/339986

Therefore, the GCF of 790/778,854/437 is 2/339986.

Greatest Common Factor of 790,854

To find the highest common factor of 790,854, we have to find the factors of both numbers and list the highest common factor.

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790

The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854

The HCF of 790,854 is 2.

Lets's calculate GCF of 790,854

Greatest Common Factor (GCF) of 790,854 By Common Division

2 790, 854
395, 427

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

Greatest Common Factor of 790,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,854 By Matching Biggest Common Factor Method

Now, list down the factors of 790

:

1,2,5,10,79,158,395,790

Now, list down the factors of 854

:

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 790,854 . The biggest common factor number is the GCF number.
So the greatest common factor 790,854 is 2.

Lets's calculate LCM of 778,437

Lowest Common Multiple of 778,437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 339986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339986

Therefore, the GCF of Fractions 790/778,854/437 is 2/339986

Least Common Multiple of 778,437 with GCF Formula

Least Common Multiple of 778,437 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 778,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,437) = 1

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

GCF(778,437) x common factors =1 x 1 = 1

LCM(778,437) = ( 778 × 437 ) / 1

LCM(778,437) = 339986 / 1

LCM(778,437) = 339986


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FAQs on GCF of Fractions of 790/778, 854/437

1. What is the HCF of 790,854?

The HCF of 790,854 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 790/778, 854/437?

Answer: GCF of Numerators as per given numbers 790/778, 854/437 is

GCF of Numerators i.e. for 790,854 is 2

LCM of denominators i.e. for 778,437 is 339986.

Thus, GCF of Fractions is 2/339986.Finally, GCF of Fractions for 790/778, 854/437 is 2/339986.