Greatest Common Factor of 349/87, 840/59, 565/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/87, 840/59, 565/13

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 349/87,840/59,565/13

Given fractions are 349/87,840/59,565/13

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 349,840,565

Greatest Common Factor of Numerators i.e. GCF of 349,840,565 is 1 .

LCM of Denominators means LCM of 87,59,13 as per the given fractions.

LCM of 87,59,13 is 66729 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,840,565

GCF of Fractions 349/87,840/59,565/13 is 1/66729

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

Greatest Common Factor of 349,840,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,840,565 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 349,840,565 . The biggest common factor number is the GCF number.
So the greatest common factor 349,840,565 is 1.

Lets's calculate LCM of 87,59,13

Given numbers has no common factors except 1. So, there LCM is their product i.e 66729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66729

Therefore, the GCF of Fractions 349/87,840/59,565/13 is 1/66729

Least Common Multiple of 87,59,13 with GCF Formula

Least Common Multiple of 87,59,13 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 87,59,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,59,13) = 1

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

GCF(87,59,13) x common factors =1 x 1 = 1

LCM(87,59,13) = ( 87 × 59 × 13 ) / 1

LCM(87,59,13) = 66729 / 1

LCM(87,59,13) = 66729


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 349/87, 840/59, 565/13

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 349/87, 840/59, 565/13?

Answer: GCF of Numerators as per given numbers 349/87, 840/59, 565/13 is

GCF of Numerators i.e. for 349,840,565 is 1

LCM of denominators i.e. for 87,59,13 is 66729.

Thus, GCF of Fractions is 1/66729.Finally, GCF of Fractions for 349/87, 840/59, 565/13 is 1/66729.