Greatest Common Factor of 2276/624, 3969/9520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2276/624, 3969/9520

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 2276/624,3969/9520

Given fractions are 2276/624,3969/9520

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 2276,3969

Greatest Common Factor of Numerators i.e. GCF of 2276,3969 is 1 .

LCM of Denominators means LCM of 624,9520 as per the given fractions.

LCM of 624,9520 is 371280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2276,3969

GCF of Fractions 2276/624,3969/9520 is 1/371280

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

Greatest Common Factor of 2276,3969 By Matching Biggest Common Factor Method

Greatest Common Factor of 2276,3969 By Matching Biggest Common Factor Method

Factors of 2276

List of positive integer factors of 2276 that divides 2276 without a remainder.

1,2,4,569,1138,2276

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969

Greatest Common Factor

We found the factors 2276,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 2276,3969 is 1.

Lets's calculate LCM of 624,9520

2 624, 9520
2 312, 4760
2 156, 2380
2 78, 1190
39, 595

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 595 = 371280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371280

Therefore, the GCF of Fractions 2276/624,3969/9520 is 1/371280

Least Common Multiple of 624,9520 with GCF Formula

Least Common Multiple of 624,9520 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 624,9520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,9520) = 16

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

GCF(624,9520) x common factors =16 x 1 = 16

LCM(624,9520) = ( 624 × 9520 ) / 16

LCM(624,9520) = 5940480 / 16

LCM(624,9520) = 371280


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 2276/624, 3969/9520

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 2276/624, 3969/9520?

Answer: GCF of Numerators as per given numbers 2276/624, 3969/9520 is

GCF of Numerators i.e. for 2276,3969 is 1

LCM of denominators i.e. for 624,9520 is 371280.

Thus, GCF of Fractions is 1/371280.Finally, GCF of Fractions for 2276/624, 3969/9520 is 1/371280.