Greatest Common Factor of 61/154, 37/582, 737/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/154, 37/582, 737/717

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 61/154,37/582,737/717

Given fractions are 61/154,37/582,737/717

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 61,37,737

Greatest Common Factor of Numerators i.e. GCF of 61,37,737 is 1 .

LCM of Denominators means LCM of 154,582,717 as per the given fractions.

LCM of 154,582,717 is 10710546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,37,737

GCF of Fractions 61/154,37/582,737/717 is 1/10710546

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

Greatest Common Factor of 61,37,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,37,737 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 61,37,737 . The biggest common factor number is the GCF number.
So the greatest common factor 61,37,737 is 1.

Lets's calculate LCM of 154,582,717

2 154, 582, 717
3 77, 291, 717
77, 97, 239

∴ So the LCM of the given numbers is 2 x 3 x 77 x 97 x 239 = 10710546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10710546

Therefore, the GCF of Fractions 61/154,37/582,737/717 is 1/10710546

Least Common Multiple of 154,582,717 with GCF Formula

Least Common Multiple of 154,582,717 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 154,582,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,582,717) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(154,582,717) x common factors =1 x 6 = 6

LCM(154,582,717) = ( 154 × 582 × 717 ) / 6

LCM(154,582,717) = 64263276 / 6

LCM(154,582,717) = 10710546


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 61/154, 37/582, 737/717

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 61/154, 37/582, 737/717?

Answer: GCF of Numerators as per given numbers 61/154, 37/582, 737/717 is

GCF of Numerators i.e. for 61,37,737 is 1

LCM of denominators i.e. for 154,582,717 is 10710546.

Thus, GCF of Fractions is 1/10710546.Finally, GCF of Fractions for 61/154, 37/582, 737/717 is 1/10710546.