Greatest Common Factor of 9002/105, 7701/7355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9002/105, 7701/7355

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 9002/105,7701/7355

Given fractions are 9002/105,7701/7355

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 9002,7701

Greatest Common Factor of Numerators i.e. GCF of 9002,7701 is 1 .

LCM of Denominators means LCM of 105,7355 as per the given fractions.

LCM of 105,7355 is 154455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9002,7701

GCF of Fractions 9002/105,7701/7355 is 1/154455

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

Greatest Common Factor of 9002,7701 By Matching Biggest Common Factor Method

Greatest Common Factor of 9002,7701 By Matching Biggest Common Factor Method

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1,2,7,14,643,1286,4501,9002

Factors of 7701

List of positive integer factors of 7701 that divides 7701 without a remainder.

1,3,17,51,151,453,2567,7701

Greatest Common Factor

We found the factors 9002,7701 . The biggest common factor number is the GCF number.
So the greatest common factor 9002,7701 is 1.

Lets's calculate LCM of 105,7355

5 105, 7355
21, 1471

∴ So the LCM of the given numbers is 5 x 21 x 1471 = 154455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154455

Therefore, the GCF of Fractions 9002/105,7701/7355 is 1/154455

Least Common Multiple of 105,7355 with GCF Formula

Least Common Multiple of 105,7355 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 105,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,7355) = 5

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

GCF(105,7355) x common factors =5 x 1 = 5

LCM(105,7355) = ( 105 × 7355 ) / 5

LCM(105,7355) = 772275 / 5

LCM(105,7355) = 154455


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 9002/105, 7701/7355

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 9002/105, 7701/7355?

Answer: GCF of Numerators as per given numbers 9002/105, 7701/7355 is

GCF of Numerators i.e. for 9002,7701 is 1

LCM of denominators i.e. for 105,7355 is 154455.

Thus, GCF of Fractions is 1/154455.Finally, GCF of Fractions for 9002/105, 7701/7355 is 1/154455.