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GCF of 989/498, 577/218

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 989/498, 577/218 i.e 1/54282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/498, 577/218.

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 989/498,577/218?

Given fractions are 989/498,577/218

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 989/498,577/218, numerators are 989,577

Denominators are 498,218

The GCF of 989,577 is 1 .

LCM of 498,218 is 54282.

The greatest common factor of 989/498,577/218 = [GCF of 989,577]/[LCM of 498,218]= 1/54282

Therefore, the GCF of 989/498,577/218 is 1/54282.

Greatest Common Factor of 989,577

To find the highest common factor of 989,577, 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 577 are 1, 577

The HCF of 989,577 is 1.

Lets's calculate GCF of 989,577

Greatest Common Factor (GCF) of 989,577 By Common Division

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

Greatest Common Factor of 989,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,577 By Matching Biggest Common Factor Method

Now, list down the factors of 989

:

1,23,43,989

Now, list down the factors of 577

:

1,577

Greatest Common Factor

We found the factors 989,577 . The biggest common factor number is the GCF number.
So the greatest common factor 989,577 is 1.

Lets's calculate LCM of 498,218

Lowest Common Multiple of 498,218 using Common Division

2 498, 218
249, 109

∴ So the LCM of the given numbers is 2 x 249 x 109 = 54282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54282

Therefore, the GCF of Fractions 989/498,577/218 is 1/54282

Least Common Multiple of 498,218 with GCF Formula

Least Common Multiple of 498,218 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 498,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,218) = 2

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

GCF(498,218) x common factors =2 x 1 = 2

LCM(498,218) = ( 498 × 218 ) / 2

LCM(498,218) = 108564 / 2

LCM(498,218) = 54282


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FAQs on GCF of Fractions of 989/498, 577/218

1. What is the HCF of 989,577?

The HCF of 989,577 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 989/498, 577/218?

Answer: GCF of Numerators as per given numbers 989/498, 577/218 is

GCF of Numerators i.e. for 989,577 is 1

LCM of denominators i.e. for 498,218 is 54282.

Thus, GCF of Fractions is 1/54282.Finally, GCF of Fractions for 989/498, 577/218 is 1/54282.