Greatest Common Factor of 836/274, 8164/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/274, 8164/100

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 836/274,8164/100

Given fractions are 836/274,8164/100

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 836,8164

Greatest Common Factor of Numerators i.e. GCF of 836,8164 is 4 .

LCM of Denominators means LCM of 274,100 as per the given fractions.

LCM of 274,100 is 13700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,8164

GCF of Fractions 836/274,8164/100 is 4/13700

2 836, 8164
2 418, 4082
209, 2041

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 836,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,8164 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 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 836,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 836,8164 is 4.

Lets's calculate LCM of 274,100

2 274, 100
137, 50

∴ So the LCM of the given numbers is 2 x 137 x 50 = 13700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13700

Therefore, the GCF of Fractions 836/274,8164/100 is 4/13700

Least Common Multiple of 274,100 with GCF Formula

Least Common Multiple of 274,100 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 274,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,100) = 2

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

GCF(274,100) x common factors =2 x 1 = 2

LCM(274,100) = ( 274 × 100 ) / 2

LCM(274,100) = 27400 / 2

LCM(274,100) = 13700


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 836/274, 8164/100

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 836/274, 8164/100?

Answer: GCF of Numerators as per given numbers 836/274, 8164/100 is

GCF of Numerators i.e. for 836,8164 is 4

LCM of denominators i.e. for 274,100 is 13700.

Thus, GCF of Fractions is 4/13700.Finally, GCF of Fractions for 836/274, 8164/100 is 4/13700.