Greatest Common Factor of 836/35, 474/1655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/35, 474/1655

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 836/35,474/1655

Given fractions are 836/35,474/1655

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 836,474

Greatest Common Factor of Numerators i.e. GCF of 836,474 is 2 .

LCM of Denominators means LCM of 35,1655 as per the given fractions.

LCM of 35,1655 is 11585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,474

GCF of Fractions 836/35,474/1655 is 2/11585

2 836, 474
418, 237

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

Greatest Common Factor of 836,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,474 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

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

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 836,474 . The biggest common factor number is the GCF number.
So the greatest common factor 836,474 is 2.

Lets's calculate LCM of 35,1655

5 35, 1655
7, 331

∴ So the LCM of the given numbers is 5 x 7 x 331 = 11585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11585

Therefore, the GCF of Fractions 836/35,474/1655 is 2/11585

Least Common Multiple of 35,1655 with GCF Formula

Least Common Multiple of 35,1655 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 35,1655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,1655) = 5

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

GCF(35,1655) x common factors =5 x 1 = 5

LCM(35,1655) = ( 35 × 1655 ) / 5

LCM(35,1655) = 57925 / 5

LCM(35,1655) = 11585


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 836/35, 474/1655

1. 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.

2. What is the GCF of Fractions for 836/35, 474/1655?

Answer: GCF of Numerators as per given numbers 836/35, 474/1655 is

GCF of Numerators i.e. for 836,474 is 2

LCM of denominators i.e. for 35,1655 is 11585.

Thus, GCF of Fractions is 2/11585.Finally, GCF of Fractions for 836/35, 474/1655 is 2/11585.