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GCF of 989/252, 5417/540

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 989/252, 5417/540 i.e 1/3780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/252, 5417/540.

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 989/252,5417/540?

Given fractions are 989/252,5417/540

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 989/252,5417/540, numerators are 989,5417

Denominators are 252,540

The GCF of 989,5417 is 1 .

LCM of 252,540 is 3780.

The greatest common factor of 989/252,5417/540 = [GCF of 989,5417]/[LCM of 252,540]= 1/3780

Therefore, the GCF of 989/252,5417/540 is 1/3780.

Greatest Common Factor of 989,5417

To find the highest common factor of 989,5417, we have to find the factors of both numbers and list the highest common factor.

The factors of 989 are 1, 23, 43, 989

The factors of 5417 are 1, 5417

The HCF of 989,5417 is 1.

Lets's calculate GCF of 989,5417

Greatest Common Factor (GCF) of 989,5417 By Common Division

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

Greatest Common Factor of 989,5417 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,5417 By Matching Biggest Common Factor Method

Now, list down the factors of 989

:

1,23,43,989

Now, list down the factors of 5417

:

1,5417

Greatest Common Factor

We found the factors 989,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 989,5417 is 1.

Lets's calculate LCM of 252,540

Lowest Common Multiple of 252,540 using Common Division

2 252, 540
2 126, 270
3 63, 135
3 21, 45
7, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 15 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780

Therefore, the GCF of Fractions 989/252,5417/540 is 1/3780

Least Common Multiple of 252,540 with GCF Formula

Least Common Multiple of 252,540 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 252,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,540) = 36

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

GCF(252,540) x common factors =36 x 1 = 36

LCM(252,540) = ( 252 × 540 ) / 36

LCM(252,540) = 136080 / 36

LCM(252,540) = 3780


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FAQs on GCF of Fractions of 989/252, 5417/540

1. What is the HCF of 989,5417?

The HCF of 989,5417 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 989/252, 5417/540?

Answer: GCF of Numerators as per given numbers 989/252, 5417/540 is

GCF of Numerators i.e. for 989,5417 is 1

LCM of denominators i.e. for 252,540 is 3780.

Thus, GCF of Fractions is 1/3780.Finally, GCF of Fractions for 989/252, 5417/540 is 1/3780.