Greatest Common Factor of 6910/455, 8134/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6910/455, 8134/463

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 6910/455,8134/463

Given fractions are 6910/455,8134/463

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 6910,8134

Greatest Common Factor of Numerators i.e. GCF of 6910,8134 is 2 .

LCM of Denominators means LCM of 455,463 as per the given fractions.

LCM of 455,463 is 210665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6910,8134

GCF of Fractions 6910/455,8134/463 is 2/210665

2 6910, 8134
3455, 4067

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

Greatest Common Factor of 6910,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 6910,8134 By Matching Biggest Common Factor Method

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 6910,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 6910,8134 is 2.

Lets's calculate LCM of 455,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 210665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210665

Therefore, the GCF of Fractions 6910/455,8134/463 is 2/210665

Least Common Multiple of 455,463 with GCF Formula

Least Common Multiple of 455,463 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 455,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,463) = 1

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

GCF(455,463) x common factors =1 x 1 = 1

LCM(455,463) = ( 455 × 463 ) / 1

LCM(455,463) = 210665 / 1

LCM(455,463) = 210665


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 6910/455, 8134/463

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 6910/455, 8134/463?

Answer: GCF of Numerators as per given numbers 6910/455, 8134/463 is

GCF of Numerators i.e. for 6910,8134 is 2

LCM of denominators i.e. for 455,463 is 210665.

Thus, GCF of Fractions is 2/210665.Finally, GCF of Fractions for 6910/455, 8134/463 is 2/210665.