Greatest Common Factor of 7436/376, 6550/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7436/376, 6550/890

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 7436/376,6550/890

Given fractions are 7436/376,6550/890

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 7436,6550

Greatest Common Factor of Numerators i.e. GCF of 7436,6550 is 2 .

LCM of Denominators means LCM of 376,890 as per the given fractions.

LCM of 376,890 is 167320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7436,6550

GCF of Fractions 7436/376,6550/890 is 2/167320

2 7436, 6550
3718, 3275

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

Greatest Common Factor of 7436,6550 By Matching Biggest Common Factor Method

Greatest Common Factor of 7436,6550 By Matching Biggest Common Factor Method

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1,2,5,10,25,50,131,262,655,1310,3275,6550

Greatest Common Factor

We found the factors 7436,6550 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,6550 is 2.

Lets's calculate LCM of 376,890

2 376, 890
188, 445

∴ So the LCM of the given numbers is 2 x 188 x 445 = 167320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167320

Therefore, the GCF of Fractions 7436/376,6550/890 is 2/167320

Least Common Multiple of 376,890 with GCF Formula

Least Common Multiple of 376,890 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 376,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,890) = 2

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

GCF(376,890) x common factors =2 x 1 = 2

LCM(376,890) = ( 376 × 890 ) / 2

LCM(376,890) = 334640 / 2

LCM(376,890) = 167320


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 7436/376, 6550/890

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 7436/376, 6550/890?

Answer: GCF of Numerators as per given numbers 7436/376, 6550/890 is

GCF of Numerators i.e. for 7436,6550 is 2

LCM of denominators i.e. for 376,890 is 167320.

Thus, GCF of Fractions is 2/167320.Finally, GCF of Fractions for 7436/376, 6550/890 is 2/167320.