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GCF of 4049/988, 9457/638

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 4049/988, 9457/638 i.e 1/315172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4049/988, 9457/638.

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 4049/988,9457/638?

Given fractions are 4049/988,9457/638

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 4049/988,9457/638, numerators are 4049,9457

Denominators are 988,638

The GCF of 4049,9457 is 1 .

LCM of 988,638 is 315172.

The greatest common factor of 4049/988,9457/638 = [GCF of 4049,9457]/[LCM of 988,638]= 1/315172

Therefore, the GCF of 4049/988,9457/638 is 1/315172.

Greatest Common Factor of 4049,9457

To find the highest common factor of 4049,9457, we have to find the factors of both numbers and list the highest common factor.

The factors of 4049 are 1, 4049

The factors of 9457 are 1, 7, 49, 193, 1351, 9457

The HCF of 4049,9457 is 1.

Lets's calculate GCF of 4049,9457

Greatest Common Factor (GCF) of 4049,9457 By Common Division

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

Greatest Common Factor of 4049,9457 By Matching Biggest Common Factor Method

Greatest Common Factor of 4049,9457 By Matching Biggest Common Factor Method

Now, list down the factors of 4049

:

1,4049

Now, list down the factors of 9457

:

1,7,49,193,1351,9457

Greatest Common Factor

We found the factors 4049,9457 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,9457 is 1.

Lets's calculate LCM of 988,638

Lowest Common Multiple of 988,638 using Common Division

2 988, 638
494, 319

∴ So the LCM of the given numbers is 2 x 494 x 319 = 315172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315172

Therefore, the GCF of Fractions 4049/988,9457/638 is 1/315172

Least Common Multiple of 988,638 with GCF Formula

Least Common Multiple of 988,638 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 988,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,638) = 2

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

GCF(988,638) x common factors =2 x 1 = 2

LCM(988,638) = ( 988 × 638 ) / 2

LCM(988,638) = 630344 / 2

LCM(988,638) = 315172


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FAQs on GCF of Fractions of 4049/988, 9457/638

1. What is the HCF of 4049,9457?

The HCF of 4049,9457 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 4049/988, 9457/638?

Answer: GCF of Numerators as per given numbers 4049/988, 9457/638 is

GCF of Numerators i.e. for 4049,9457 is 1

LCM of denominators i.e. for 988,638 is 315172.

Thus, GCF of Fractions is 1/315172.Finally, GCF of Fractions for 4049/988, 9457/638 is 1/315172.