Greatest Common Factor of 569/37, 738/64, 137/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 569/37, 738/64, 137/34

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 569/37,738/64,137/34

Given fractions are 569/37,738/64,137/34

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 569,738,137

Greatest Common Factor of Numerators i.e. GCF of 569,738,137 is 1 .

LCM of Denominators means LCM of 37,64,34 as per the given fractions.

LCM of 37,64,34 is 40256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 569,738,137

GCF of Fractions 569/37,738/64,137/34 is 1/40256

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

Greatest Common Factor of 569,738,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,738,137 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 569,738,137 . The biggest common factor number is the GCF number.
So the greatest common factor 569,738,137 is 1.

Lets's calculate LCM of 37,64,34

2 37, 64, 34
37, 32, 17

∴ So the LCM of the given numbers is 2 x 37 x 32 x 17 = 40256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40256

Therefore, the GCF of Fractions 569/37,738/64,137/34 is 1/40256

Least Common Multiple of 37,64,34 with GCF Formula

Least Common Multiple of 37,64,34 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 37,64,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,64,34) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,64,34) x common factors =1 x 2 = 2

LCM(37,64,34) = ( 37 × 64 × 34 ) / 2

LCM(37,64,34) = 80512 / 2

LCM(37,64,34) = 40256


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 569/37, 738/64, 137/34

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 569/37, 738/64, 137/34?

Answer: GCF of Numerators as per given numbers 569/37, 738/64, 137/34 is

GCF of Numerators i.e. for 569,738,137 is 1

LCM of denominators i.e. for 37,64,34 is 40256.

Thus, GCF of Fractions is 1/40256.Finally, GCF of Fractions for 569/37, 738/64, 137/34 is 1/40256.