Greatest Common Factor of 4557/814, 7698/9570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4557/814, 7698/9570

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 4557/814,7698/9570

Given fractions are 4557/814,7698/9570

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 4557,7698

Greatest Common Factor of Numerators i.e. GCF of 4557,7698 is 3 .

LCM of Denominators means LCM of 814,9570 as per the given fractions.

LCM of 814,9570 is 354090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4557,7698

GCF of Fractions 4557/814,7698/9570 is 3/354090

3 4557, 7698
1519, 2566

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4557,7698 By Matching Biggest Common Factor Method

Greatest Common Factor of 4557,7698 By Matching Biggest Common Factor Method

Factors of 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1,3,7,21,31,49,93,147,217,651,1519,4557

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

Greatest Common Factor

We found the factors 4557,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 4557,7698 is 3.

Lets's calculate LCM of 814,9570

2 814, 9570
11 407, 4785
37, 435

∴ So the LCM of the given numbers is 2 x 11 x 37 x 435 = 354090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/354090

Therefore, the GCF of Fractions 4557/814,7698/9570 is 3/354090

Least Common Multiple of 814,9570 with GCF Formula

Least Common Multiple of 814,9570 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 814,9570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,9570) = 22

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

GCF(814,9570) x common factors =22 x 1 = 22

LCM(814,9570) = ( 814 × 9570 ) / 22

LCM(814,9570) = 7789980 / 22

LCM(814,9570) = 354090


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 4557/814, 7698/9570

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 4557/814, 7698/9570?

Answer: GCF of Numerators as per given numbers 4557/814, 7698/9570 is

GCF of Numerators i.e. for 4557,7698 is 3

LCM of denominators i.e. for 814,9570 is 354090.

Thus, GCF of Fractions is 3/354090.Finally, GCF of Fractions for 4557/814, 7698/9570 is 3/354090.