Greatest Common Factor of 1401/98, 6264/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1401/98, 6264/780

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 1401/98,6264/780

Given fractions are 1401/98,6264/780

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 1401,6264

Greatest Common Factor of Numerators i.e. GCF of 1401,6264 is 3 .

LCM of Denominators means LCM of 98,780 as per the given fractions.

LCM of 98,780 is 38220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1401,6264

GCF of Fractions 1401/98,6264/780 is 3/38220

3 1401, 6264
467, 2088

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1401,6264 By Matching Biggest Common Factor Method

Greatest Common Factor of 1401,6264 By Matching Biggest Common Factor Method

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1,3,467,1401

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors 1401,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 1401,6264 is 3.

Lets's calculate LCM of 98,780

2 98, 780
49, 390

∴ So the LCM of the given numbers is 2 x 49 x 390 = 38220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38220

Therefore, the GCF of Fractions 1401/98,6264/780 is 3/38220

Least Common Multiple of 98,780 with GCF Formula

Least Common Multiple of 98,780 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 98,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,780) = 2

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

GCF(98,780) x common factors =2 x 1 = 2

LCM(98,780) = ( 98 × 780 ) / 2

LCM(98,780) = 76440 / 2

LCM(98,780) = 38220


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 1401/98, 6264/780

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 1401/98, 6264/780?

Answer: GCF of Numerators as per given numbers 1401/98, 6264/780 is

GCF of Numerators i.e. for 1401,6264 is 3

LCM of denominators i.e. for 98,780 is 38220.

Thus, GCF of Fractions is 3/38220.Finally, GCF of Fractions for 1401/98, 6264/780 is 3/38220.