Greatest Common Factor of 8311/182, 7700/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8311/182, 7700/126

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 8311/182,7700/126

Given fractions are 8311/182,7700/126

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 8311,7700

Greatest Common Factor of Numerators i.e. GCF of 8311,7700 is 1 .

LCM of Denominators means LCM of 182,126 as per the given fractions.

LCM of 182,126 is 1638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8311,7700

GCF of Fractions 8311/182,7700/126 is 1/1638

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8311,7700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8311,7700 By Matching Biggest Common Factor Method

Factors of 8311

List of positive integer factors of 8311 that divides 8311 without a remainder.

1,8311

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Greatest Common Factor

We found the factors 8311,7700 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,7700 is 1.

Lets's calculate LCM of 182,126

2 182, 126
7 91, 63
13, 9

∴ So the LCM of the given numbers is 2 x 7 x 13 x 9 = 1638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638

Therefore, the GCF of Fractions 8311/182,7700/126 is 1/1638

Least Common Multiple of 182,126 with GCF Formula

Least Common Multiple of 182,126 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 182,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,126) = 14

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

GCF(182,126) x common factors =14 x 1 = 14

LCM(182,126) = ( 182 × 126 ) / 14

LCM(182,126) = 22932 / 14

LCM(182,126) = 1638


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 8311/182, 7700/126

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 8311/182, 7700/126?

Answer: GCF of Numerators as per given numbers 8311/182, 7700/126 is

GCF of Numerators i.e. for 8311,7700 is 1

LCM of denominators i.e. for 182,126 is 1638.

Thus, GCF of Fractions is 1/1638.Finally, GCF of Fractions for 8311/182, 7700/126 is 1/1638.