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GCF of 790/79, 836/7965

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 790/79, 836/7965 i.e 2/629235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/79, 836/7965.

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 790/79,836/7965?

Given fractions are 790/79,836/7965

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 790/79,836/7965, numerators are 790,836

Denominators are 79,7965

The GCF of 790,836 is 2 .

LCM of 79,7965 is 629235.

The greatest common factor of 790/79,836/7965 = [GCF of 790,836]/[LCM of 79,7965]= 2/629235

Therefore, the GCF of 790/79,836/7965 is 2/629235.

Greatest Common Factor of 790,836

To find the highest common factor of 790,836, 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 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The HCF of 790,836 is 2.

Lets's calculate GCF of 790,836

Greatest Common Factor (GCF) of 790,836 By Common Division

2 790, 836
395, 418

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

Greatest Common Factor of 790,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,836 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 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 790,836 . The biggest common factor number is the GCF number.
So the greatest common factor 790,836 is 2.


Lets's calculate LCM of 79,7965

Lowest Common Multiple of 79,7965 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/629235

Therefore, the GCF of Fractions 790/79,836/7965 is 2/629235

Least Common Multiple of 79,7965 with GCF Formula

Least Common Multiple of 79,7965 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 79,7965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,7965) = 1

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

GCF(79,7965) x common factors =1 x 1 = 1

LCM(79,7965) = ( 79 × 7965 ) / 1

LCM(79,7965) = 629235 / 1

LCM(79,7965) = 629235


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 790/79, 836/7965

1. What is the HCF of 790,836?

The HCF of 790,836 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 790/79, 836/7965?

Answer: GCF of Numerators as per given numbers 790/79, 836/7965 is

GCF of Numerators i.e. for 790,836 is 2

LCM of denominators i.e. for 79,7965 is 629235.

Thus, GCF of Fractions is 2/629235.Finally, GCF of Fractions for 790/79, 836/7965 is 2/629235.