Greatest Common Factor of 3286/648, 7049/2992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3286/648, 7049/2992

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 3286/648,7049/2992

Given fractions are 3286/648,7049/2992

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 3286,7049

Greatest Common Factor of Numerators i.e. GCF of 3286,7049 is 53 .

LCM of Denominators means LCM of 648,2992 as per the given fractions.

LCM of 648,2992 is 242352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3286,7049

GCF of Fractions 3286/648,7049/2992 is 53/242352

53 3286, 7049
62, 133

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 3286,7049 By Matching Biggest Common Factor Method

Greatest Common Factor of 3286,7049 By Matching Biggest Common Factor Method

Factors of 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1,2,31,53,62,106,1643,3286

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Greatest Common Factor

We found the factors 3286,7049 . The biggest common factor number is the GCF number.
So the greatest common factor 3286,7049 is 53.

Lets's calculate LCM of 648,2992

2 648, 2992
2 324, 1496
2 162, 748
81, 374

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 374 = 242352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/242352

Therefore, the GCF of Fractions 3286/648,7049/2992 is 53/242352

Least Common Multiple of 648,2992 with GCF Formula

Least Common Multiple of 648,2992 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 648,2992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,2992) = 8

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

GCF(648,2992) x common factors =8 x 1 = 8

LCM(648,2992) = ( 648 × 2992 ) / 8

LCM(648,2992) = 1938816 / 8

LCM(648,2992) = 242352


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3286/648, 7049/2992

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 3286/648, 7049/2992?

Answer: GCF of Numerators as per given numbers 3286/648, 7049/2992 is

GCF of Numerators i.e. for 3286,7049 is 53

LCM of denominators i.e. for 648,2992 is 242352.

Thus, GCF of Fractions is 53/242352.Finally, GCF of Fractions for 3286/648, 7049/2992 is 53/242352.