Greatest Common Factor of 9170/62, 7446/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9170/62, 7446/392

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 9170/62,7446/392

Given fractions are 9170/62,7446/392

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 9170,7446

Greatest Common Factor of Numerators i.e. GCF of 9170,7446 is 2 .

LCM of Denominators means LCM of 62,392 as per the given fractions.

LCM of 62,392 is 12152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9170,7446

GCF of Fractions 9170/62,7446/392 is 2/12152

2 9170, 7446
4585, 3723

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

Greatest Common Factor of 9170,7446 By Matching Biggest Common Factor Method

Greatest Common Factor of 9170,7446 By Matching Biggest Common Factor Method

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170

Factors of 7446

List of positive integer factors of 7446 that divides 7446 without a remainder.

1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446

Greatest Common Factor

We found the factors 9170,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 9170,7446 is 2.

Lets's calculate LCM of 62,392

2 62, 392
31, 196

∴ So the LCM of the given numbers is 2 x 31 x 196 = 12152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12152

Therefore, the GCF of Fractions 9170/62,7446/392 is 2/12152

Least Common Multiple of 62,392 with GCF Formula

Least Common Multiple of 62,392 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 62,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,392) = 2

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

GCF(62,392) x common factors =2 x 1 = 2

LCM(62,392) = ( 62 × 392 ) / 2

LCM(62,392) = 24304 / 2

LCM(62,392) = 12152


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 9170/62, 7446/392

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 9170/62, 7446/392?

Answer: GCF of Numerators as per given numbers 9170/62, 7446/392 is

GCF of Numerators i.e. for 9170,7446 is 2

LCM of denominators i.e. for 62,392 is 12152.

Thus, GCF of Fractions is 2/12152.Finally, GCF of Fractions for 9170/62, 7446/392 is 2/12152.