Greatest Common Factor of 455/994, 6955/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/994, 6955/451

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 455/994,6955/451

Given fractions are 455/994,6955/451

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 455,6955

Greatest Common Factor of Numerators i.e. GCF of 455,6955 is 65 .

LCM of Denominators means LCM of 994,451 as per the given fractions.

LCM of 994,451 is 448294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,6955

GCF of Fractions 455/994,6955/451 is 65/448294

5 455, 6955
13 91, 1391
7, 107

∴ So the GCF of the given numbers is 5 x 13 = 65

Greatest Common Factor of 455,6955 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,6955 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 6955

List of positive integer factors of 6955 that divides 6955 without a remainder.

1,5,13,65,107,535,1391,6955

Greatest Common Factor

We found the factors 455,6955 . The biggest common factor number is the GCF number.
So the greatest common factor 455,6955 is 65.

Lets's calculate LCM of 994,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 448294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/448294

Therefore, the GCF of Fractions 455/994,6955/451 is 65/448294

Least Common Multiple of 994,451 with GCF Formula

Least Common Multiple of 994,451 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 994,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,451) = 1

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

GCF(994,451) x common factors =1 x 1 = 1

LCM(994,451) = ( 994 × 451 ) / 1

LCM(994,451) = 448294 / 1

LCM(994,451) = 448294


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 455/994, 6955/451

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 455/994, 6955/451?

Answer: GCF of Numerators as per given numbers 455/994, 6955/451 is

GCF of Numerators i.e. for 455,6955 is 65

LCM of denominators i.e. for 994,451 is 448294.

Thus, GCF of Fractions is 65/448294.Finally, GCF of Fractions for 455/994, 6955/451 is 65/448294.