Greatest Common Factor of 9462/266, 3665/7078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9462/266, 3665/7078

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 9462/266,3665/7078

Given fractions are 9462/266,3665/7078

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 9462,3665

Greatest Common Factor of Numerators i.e. GCF of 9462,3665 is 1 .

LCM of Denominators means LCM of 266,7078 as per the given fractions.

LCM of 266,7078 is 941374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9462,3665

GCF of Fractions 9462/266,3665/7078 is 1/941374

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9462,3665 By Matching Biggest Common Factor Method

Greatest Common Factor of 9462,3665 By Matching Biggest Common Factor Method

Factors of 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors 9462,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 9462,3665 is 1.

Lets's calculate LCM of 266,7078

2 266, 7078
133, 3539

∴ So the LCM of the given numbers is 2 x 133 x 3539 = 941374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/941374

Therefore, the GCF of Fractions 9462/266,3665/7078 is 1/941374

Least Common Multiple of 266,7078 with GCF Formula

Least Common Multiple of 266,7078 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 266,7078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,7078) = 2

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

GCF(266,7078) x common factors =2 x 1 = 2

LCM(266,7078) = ( 266 × 7078 ) / 2

LCM(266,7078) = 1882748 / 2

LCM(266,7078) = 941374


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 9462/266, 3665/7078

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 9462/266, 3665/7078?

Answer: GCF of Numerators as per given numbers 9462/266, 3665/7078 is

GCF of Numerators i.e. for 9462,3665 is 1

LCM of denominators i.e. for 266,7078 is 941374.

Thus, GCF of Fractions is 1/941374.Finally, GCF of Fractions for 9462/266, 3665/7078 is 1/941374.