Greatest Common Factor of 7163/548, 7030/3580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7163/548, 7030/3580

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 7163/548,7030/3580

Given fractions are 7163/548,7030/3580

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 7163,7030

Greatest Common Factor of Numerators i.e. GCF of 7163,7030 is 19 .

LCM of Denominators means LCM of 548,3580 as per the given fractions.

LCM of 548,3580 is 490460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7163,7030

GCF of Fractions 7163/548,7030/3580 is 19/490460

19 7163, 7030
377, 370

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7163,7030 By Matching Biggest Common Factor Method

Greatest Common Factor of 7163,7030 By Matching Biggest Common Factor Method

Factors of 7163

List of positive integer factors of 7163 that divides 7163 without a remainder.

1,13,19,29,247,377,551,7163

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 7163,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 7163,7030 is 19.

Lets's calculate LCM of 548,3580

2 548, 3580
2 274, 1790
137, 895

∴ So the LCM of the given numbers is 2 x 2 x 137 x 895 = 490460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/490460

Therefore, the GCF of Fractions 7163/548,7030/3580 is 19/490460

Least Common Multiple of 548,3580 with GCF Formula

Least Common Multiple of 548,3580 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 548,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,3580) = 4

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

GCF(548,3580) x common factors =4 x 1 = 4

LCM(548,3580) = ( 548 × 3580 ) / 4

LCM(548,3580) = 1961840 / 4

LCM(548,3580) = 490460


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 7163/548, 7030/3580

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 7163/548, 7030/3580?

Answer: GCF of Numerators as per given numbers 7163/548, 7030/3580 is

GCF of Numerators i.e. for 7163,7030 is 19

LCM of denominators i.e. for 548,3580 is 490460.

Thus, GCF of Fractions is 19/490460.Finally, GCF of Fractions for 7163/548, 7030/3580 is 19/490460.