Greatest Common Factor of 1785/512, 2330/4364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1785/512, 2330/4364

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 1785/512,2330/4364

Given fractions are 1785/512,2330/4364

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 1785,2330

Greatest Common Factor of Numerators i.e. GCF of 1785,2330 is 5 .

LCM of Denominators means LCM of 512,4364 as per the given fractions.

LCM of 512,4364 is 558592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1785,2330

GCF of Fractions 1785/512,2330/4364 is 5/558592

5 1785, 2330
357, 466

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1785,2330 By Matching Biggest Common Factor Method

Greatest Common Factor of 1785,2330 By Matching Biggest Common Factor Method

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Factors of 2330

List of positive integer factors of 2330 that divides 2330 without a remainder.

1,2,5,10,233,466,1165,2330

Greatest Common Factor

We found the factors 1785,2330 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,2330 is 5.

Lets's calculate LCM of 512,4364

2 512, 4364
2 256, 2182
128, 1091

∴ So the LCM of the given numbers is 2 x 2 x 128 x 1091 = 558592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/558592

Therefore, the GCF of Fractions 1785/512,2330/4364 is 5/558592

Least Common Multiple of 512,4364 with GCF Formula

Least Common Multiple of 512,4364 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 512,4364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,4364) = 4

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

GCF(512,4364) x common factors =4 x 1 = 4

LCM(512,4364) = ( 512 × 4364 ) / 4

LCM(512,4364) = 2234368 / 4

LCM(512,4364) = 558592


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 1785/512, 2330/4364

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 1785/512, 2330/4364?

Answer: GCF of Numerators as per given numbers 1785/512, 2330/4364 is

GCF of Numerators i.e. for 1785,2330 is 5

LCM of denominators i.e. for 512,4364 is 558592.

Thus, GCF of Fractions is 5/558592.Finally, GCF of Fractions for 1785/512, 2330/4364 is 5/558592.