Greatest Common Factor of 1202/31, 1040/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1202/31, 1040/525

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 1202/31,1040/525

Given fractions are 1202/31,1040/525

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 1202,1040

Greatest Common Factor of Numerators i.e. GCF of 1202,1040 is 2 .

LCM of Denominators means LCM of 31,525 as per the given fractions.

LCM of 31,525 is 16275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1202,1040

GCF of Fractions 1202/31,1040/525 is 2/16275

2 1202, 1040
601, 520

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

Greatest Common Factor of 1202,1040 By Matching Biggest Common Factor Method

Greatest Common Factor of 1202,1040 By Matching Biggest Common Factor Method

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1,2,601,1202

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Greatest Common Factor

We found the factors 1202,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 1202,1040 is 2.

Lets's calculate LCM of 31,525

Given numbers has no common factors except 1. So, there LCM is their product i.e 16275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16275

Therefore, the GCF of Fractions 1202/31,1040/525 is 2/16275

Least Common Multiple of 31,525 with GCF Formula

Least Common Multiple of 31,525 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 31,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,525) = 1

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

GCF(31,525) x common factors =1 x 1 = 1

LCM(31,525) = ( 31 × 525 ) / 1

LCM(31,525) = 16275 / 1

LCM(31,525) = 16275


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 1202/31, 1040/525

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 1202/31, 1040/525?

Answer: GCF of Numerators as per given numbers 1202/31, 1040/525 is

GCF of Numerators i.e. for 1202,1040 is 2

LCM of denominators i.e. for 31,525 is 16275.

Thus, GCF of Fractions is 2/16275.Finally, GCF of Fractions for 1202/31, 1040/525 is 2/16275.