Greatest Common Factor of 9851/39, 9270/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9851/39, 9270/725

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 9851/39,9270/725

Given fractions are 9851/39,9270/725

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 9851,9270

Greatest Common Factor of Numerators i.e. GCF of 9851,9270 is 1 .

LCM of Denominators means LCM of 39,725 as per the given fractions.

LCM of 39,725 is 28275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9851,9270

GCF of Fractions 9851/39,9270/725 is 1/28275

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

Greatest Common Factor of 9851,9270 By Matching Biggest Common Factor Method

Greatest Common Factor of 9851,9270 By Matching Biggest Common Factor Method

Factors of 9851

List of positive integer factors of 9851 that divides 9851 without a remainder.

1,9851

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270

Greatest Common Factor

We found the factors 9851,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 9851,9270 is 1.

Lets's calculate LCM of 39,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 28275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28275

Therefore, the GCF of Fractions 9851/39,9270/725 is 1/28275

Least Common Multiple of 39,725 with GCF Formula

Least Common Multiple of 39,725 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 39,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,725) = 1

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

GCF(39,725) x common factors =1 x 1 = 1

LCM(39,725) = ( 39 × 725 ) / 1

LCM(39,725) = 28275 / 1

LCM(39,725) = 28275


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 9851/39, 9270/725

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 9851/39, 9270/725?

Answer: GCF of Numerators as per given numbers 9851/39, 9270/725 is

GCF of Numerators i.e. for 9851,9270 is 1

LCM of denominators i.e. for 39,725 is 28275.

Thus, GCF of Fractions is 1/28275.Finally, GCF of Fractions for 9851/39, 9270/725 is 1/28275.