Greatest Common Factor of 4148/534, 7604/7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4148/534, 7604/7230

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 4148/534,7604/7230

Given fractions are 4148/534,7604/7230

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 4148,7604

Greatest Common Factor of Numerators i.e. GCF of 4148,7604 is 4 .

LCM of Denominators means LCM of 534,7230 as per the given fractions.

LCM of 534,7230 is 643470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4148,7604

GCF of Fractions 4148/534,7604/7230 is 4/643470

2 4148, 7604
2 2074, 3802
1037, 1901

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4148,7604 By Matching Biggest Common Factor Method

Greatest Common Factor of 4148,7604 By Matching Biggest Common Factor Method

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1,2,4,17,34,61,68,122,244,1037,2074,4148

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1,2,4,1901,3802,7604

Greatest Common Factor

We found the factors 4148,7604 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,7604 is 4.

Lets's calculate LCM of 534,7230

2 534, 7230
3 267, 3615
89, 1205

∴ So the LCM of the given numbers is 2 x 3 x 89 x 1205 = 643470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/643470

Therefore, the GCF of Fractions 4148/534,7604/7230 is 4/643470

Least Common Multiple of 534,7230 with GCF Formula

Least Common Multiple of 534,7230 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 534,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,7230) = 6

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

GCF(534,7230) x common factors =6 x 1 = 6

LCM(534,7230) = ( 534 × 7230 ) / 6

LCM(534,7230) = 3860820 / 6

LCM(534,7230) = 643470


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 4148/534, 7604/7230

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 4148/534, 7604/7230?

Answer: GCF of Numerators as per given numbers 4148/534, 7604/7230 is

GCF of Numerators i.e. for 4148,7604 is 4

LCM of denominators i.e. for 534,7230 is 643470.

Thus, GCF of Fractions is 4/643470.Finally, GCF of Fractions for 4148/534, 7604/7230 is 4/643470.