Greatest Common Factor of 922/83, 608/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 922/83, 608/757

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 922/83,608/757

Given fractions are 922/83,608/757

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 922,608

Greatest Common Factor of Numerators i.e. GCF of 922,608 is 2 .

LCM of Denominators means LCM of 83,757 as per the given fractions.

LCM of 83,757 is 62831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 922,608

GCF of Fractions 922/83,608/757 is 2/62831

2 922, 608
461, 304

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

Greatest Common Factor of 922,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,608 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 922,608 . The biggest common factor number is the GCF number.
So the greatest common factor 922,608 is 2.

Lets's calculate LCM of 83,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 62831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62831

Therefore, the GCF of Fractions 922/83,608/757 is 2/62831

Least Common Multiple of 83,757 with GCF Formula

Least Common Multiple of 83,757 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 83,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,757) = 1

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

GCF(83,757) x common factors =1 x 1 = 1

LCM(83,757) = ( 83 × 757 ) / 1

LCM(83,757) = 62831 / 1

LCM(83,757) = 62831


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 922/83, 608/757

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 922/83, 608/757?

Answer: GCF of Numerators as per given numbers 922/83, 608/757 is

GCF of Numerators i.e. for 922,608 is 2

LCM of denominators i.e. for 83,757 is 62831.

Thus, GCF of Fractions is 2/62831.Finally, GCF of Fractions for 922/83, 608/757 is 2/62831.