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GCF of 5617/703, 1137/978

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5617/703, 1137/978 i.e 1/687534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5617/703, 1137/978.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5617/703,1137/978?

Given fractions are 5617/703,1137/978

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5617/703,1137/978, numerators are 5617,1137

Denominators are 703,978

The GCF of 5617,1137 is 1 .

LCM of 703,978 is 687534.

The greatest common factor of 5617/703,1137/978 = [GCF of 5617,1137]/[LCM of 703,978]= 1/687534

Therefore, the GCF of 5617/703,1137/978 is 1/687534.

Greatest Common Factor of 5617,1137

To find the highest common factor of 5617,1137, we have to find the factors of both numbers and list the highest common factor.

The factors of 5617 are 1, 41, 137, 5617

The factors of 1137 are 1, 3, 379, 1137

The HCF of 5617,1137 is 1.

Lets's calculate GCF of 5617,1137

Greatest Common Factor (GCF) of 5617,1137 By Common Division

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

Greatest Common Factor of 5617,1137 By Matching Biggest Common Factor Method

Greatest Common Factor of 5617,1137 By Matching Biggest Common Factor Method

Now, list down the factors of 5617

:

1,41,137,5617

Now, list down the factors of 1137

:

1,3,379,1137

Greatest Common Factor

We found the factors 5617,1137 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,1137 is 1.

Lets's calculate LCM of 703,978

Lowest Common Multiple of 703,978 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 687534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/687534

Therefore, the GCF of Fractions 5617/703,1137/978 is 1/687534

Least Common Multiple of 703,978 with GCF Formula

Least Common Multiple of 703,978 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 703,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,978) = 1

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

GCF(703,978) x common factors =1 x 1 = 1

LCM(703,978) = ( 703 × 978 ) / 1

LCM(703,978) = 687534 / 1

LCM(703,978) = 687534


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FAQs on GCF of Fractions of 5617/703, 1137/978

1. What is the HCF of 5617,1137?

The HCF of 5617,1137 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5617/703, 1137/978?

Answer: GCF of Numerators as per given numbers 5617/703, 1137/978 is

GCF of Numerators i.e. for 5617,1137 is 1

LCM of denominators i.e. for 703,978 is 687534.

Thus, GCF of Fractions is 1/687534.Finally, GCF of Fractions for 5617/703, 1137/978 is 1/687534.