Greatest Common Factor of 529/13, 655/70, 383/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 529/13, 655/70, 383/591

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 529/13,655/70,383/591

Given fractions are 529/13,655/70,383/591

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 529,655,383

Greatest Common Factor of Numerators i.e. GCF of 529,655,383 is 1 .

LCM of Denominators means LCM of 13,70,591 as per the given fractions.

LCM of 13,70,591 is 537810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 529,655,383

GCF of Fractions 529/13,655/70,383/591 is 1/537810

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 529,655,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,655,383 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 529,655,383 . The biggest common factor number is the GCF number.
So the greatest common factor 529,655,383 is 1.


Lets's calculate LCM of 13,70,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 537810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537810

Therefore, the GCF of Fractions 529/13,655/70,383/591 is 1/537810

Least Common Multiple of 13,70,591 with GCF Formula

Least Common Multiple of 13,70,591 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 13,70,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,70,591) = 1

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

GCF(13,70,591) x common factors =1 x 1 = 1

LCM(13,70,591) = ( 13 × 70 × 591 ) / 1

LCM(13,70,591) = 537810 / 1

LCM(13,70,591) = 537810


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 529/13, 655/70, 383/591

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 529/13, 655/70, 383/591?

Answer: GCF of Numerators as per given numbers 529/13, 655/70, 383/591 is

GCF of Numerators i.e. for 529,655,383 is 1

LCM of denominators i.e. for 13,70,591 is 537810.

Thus, GCF of Fractions is 1/537810.Finally, GCF of Fractions for 529/13, 655/70, 383/591 is 1/537810.