Greatest Common Factor of 2507/848, 9964/2638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2507/848, 9964/2638

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 2507/848,9964/2638

Given fractions are 2507/848,9964/2638

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 2507,9964

Greatest Common Factor of Numerators i.e. GCF of 2507,9964 is 1 .

LCM of Denominators means LCM of 848,2638 as per the given fractions.

LCM of 848,2638 is 1118512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2507,9964

GCF of Fractions 2507/848,9964/2638 is 1/1118512

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

Greatest Common Factor of 2507,9964 By Matching Biggest Common Factor Method

Greatest Common Factor of 2507,9964 By Matching Biggest Common Factor Method

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1,23,109,2507

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Greatest Common Factor

We found the factors 2507,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,9964 is 1.

Lets's calculate LCM of 848,2638

2 848, 2638
424, 1319

∴ So the LCM of the given numbers is 2 x 424 x 1319 = 1118512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118512

Therefore, the GCF of Fractions 2507/848,9964/2638 is 1/1118512

Least Common Multiple of 848,2638 with GCF Formula

Least Common Multiple of 848,2638 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 848,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,2638) = 2

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

GCF(848,2638) x common factors =2 x 1 = 2

LCM(848,2638) = ( 848 × 2638 ) / 2

LCM(848,2638) = 2237024 / 2

LCM(848,2638) = 1118512


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 2507/848, 9964/2638

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 2507/848, 9964/2638?

Answer: GCF of Numerators as per given numbers 2507/848, 9964/2638 is

GCF of Numerators i.e. for 2507,9964 is 1

LCM of denominators i.e. for 848,2638 is 1118512.

Thus, GCF of Fractions is 1/1118512.Finally, GCF of Fractions for 2507/848, 9964/2638 is 1/1118512.