Greatest Common Factor of 22/628, 4070/8913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/628, 4070/8913

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 22/628,4070/8913

Given fractions are 22/628,4070/8913

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 22,4070

Greatest Common Factor of Numerators i.e. GCF of 22,4070 is 22 .

LCM of Denominators means LCM of 628,8913 as per the given fractions.

LCM of 628,8913 is 5597364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,4070

GCF of Fractions 22/628,4070/8913 is 22/5597364

2 22, 4070
11 11, 2035
1, 185

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 22,4070 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,4070 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Greatest Common Factor

We found the factors 22,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 22,4070 is 22.

Lets's calculate LCM of 628,8913

Given numbers has no common factors except 1. So, there LCM is their product i.e 5597364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/5597364

Therefore, the GCF of Fractions 22/628,4070/8913 is 22/5597364

Least Common Multiple of 628,8913 with GCF Formula

Least Common Multiple of 628,8913 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 628,8913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,8913) = 1

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

GCF(628,8913) x common factors =1 x 1 = 1

LCM(628,8913) = ( 628 × 8913 ) / 1

LCM(628,8913) = 5597364 / 1

LCM(628,8913) = 5597364


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 22/628, 4070/8913

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 22/628, 4070/8913?

Answer: GCF of Numerators as per given numbers 22/628, 4070/8913 is

GCF of Numerators i.e. for 22,4070 is 22

LCM of denominators i.e. for 628,8913 is 5597364.

Thus, GCF of Fractions is 22/5597364.Finally, GCF of Fractions for 22/628, 4070/8913 is 22/5597364.