Greatest Common Factor of 9250/117, 3007/3965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9250/117, 3007/3965

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 9250/117,3007/3965

Given fractions are 9250/117,3007/3965

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 9250,3007

Greatest Common Factor of Numerators i.e. GCF of 9250,3007 is 1 .

LCM of Denominators means LCM of 117,3965 as per the given fractions.

LCM of 117,3965 is 35685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9250,3007

GCF of Fractions 9250/117,3007/3965 is 1/35685

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

Greatest Common Factor of 9250,3007 By Matching Biggest Common Factor Method

Greatest Common Factor of 9250,3007 By Matching Biggest Common Factor Method

Factors of 9250

List of positive integer factors of 9250 that divides 9250 without a remainder.

1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1,31,97,3007

Greatest Common Factor

We found the factors 9250,3007 . The biggest common factor number is the GCF number.
So the greatest common factor 9250,3007 is 1.

Lets's calculate LCM of 117,3965

13 117, 3965
9, 305

∴ So the LCM of the given numbers is 13 x 9 x 305 = 35685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35685

Therefore, the GCF of Fractions 9250/117,3007/3965 is 1/35685

Least Common Multiple of 117,3965 with GCF Formula

Least Common Multiple of 117,3965 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 117,3965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,3965) = 13

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

GCF(117,3965) x common factors =13 x 1 = 13

LCM(117,3965) = ( 117 × 3965 ) / 13

LCM(117,3965) = 463905 / 13

LCM(117,3965) = 35685


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 9250/117, 3007/3965

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 9250/117, 3007/3965?

Answer: GCF of Numerators as per given numbers 9250/117, 3007/3965 is

GCF of Numerators i.e. for 9250,3007 is 1

LCM of denominators i.e. for 117,3965 is 35685.

Thus, GCF of Fractions is 1/35685.Finally, GCF of Fractions for 9250/117, 3007/3965 is 1/35685.