Greatest Common Factor of 962/630, 3145/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/630, 3145/822

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 962/630,3145/822

Given fractions are 962/630,3145/822

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 962,3145

Greatest Common Factor of Numerators i.e. GCF of 962,3145 is 37 .

LCM of Denominators means LCM of 630,822 as per the given fractions.

LCM of 630,822 is 86310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,3145

GCF of Fractions 962/630,3145/822 is 37/86310

37 962, 3145
26, 85

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 962,3145 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,3145 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1,5,17,37,85,185,629,3145

Greatest Common Factor

We found the factors 962,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 962,3145 is 37.

Lets's calculate LCM of 630,822

2 630, 822
3 315, 411
105, 137

∴ So the LCM of the given numbers is 2 x 3 x 105 x 137 = 86310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/86310

Therefore, the GCF of Fractions 962/630,3145/822 is 37/86310

Least Common Multiple of 630,822 with GCF Formula

Least Common Multiple of 630,822 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 630,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,822) = 6

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

GCF(630,822) x common factors =6 x 1 = 6

LCM(630,822) = ( 630 × 822 ) / 6

LCM(630,822) = 517860 / 6

LCM(630,822) = 86310


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 962/630, 3145/822

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 962/630, 3145/822?

Answer: GCF of Numerators as per given numbers 962/630, 3145/822 is

GCF of Numerators i.e. for 962,3145 is 37

LCM of denominators i.e. for 630,822 is 86310.

Thus, GCF of Fractions is 37/86310.Finally, GCF of Fractions for 962/630, 3145/822 is 37/86310.