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GCF of 4149/938, 9557/690

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 4149/938, 9557/690 i.e 1/323610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4149/938, 9557/690.

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 4149/938,9557/690?

Given fractions are 4149/938,9557/690

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 4149/938,9557/690, numerators are 4149,9557

Denominators are 938,690

The GCF of 4149,9557 is 1 .

LCM of 938,690 is 323610.

The greatest common factor of 4149/938,9557/690 = [GCF of 4149,9557]/[LCM of 938,690]= 1/323610

Therefore, the GCF of 4149/938,9557/690 is 1/323610.

Greatest Common Factor of 4149,9557

To find the highest common factor of 4149,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 4149 are 1, 3, 9, 461, 1383, 4149

The factors of 9557 are 1, 19, 503, 9557

The HCF of 4149,9557 is 1.

Lets's calculate GCF of 4149,9557

Greatest Common Factor (GCF) of 4149,9557 By Common Division

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

Greatest Common Factor of 4149,9557 By Matching Biggest Common Factor Method

Greatest Common Factor of 4149,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 4149

:

1,3,9,461,1383,4149

Now, list down the factors of 9557

:

1,19,503,9557

Greatest Common Factor

We found the factors 4149,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 4149,9557 is 1.

Lets's calculate LCM of 938,690

Lowest Common Multiple of 938,690 using Common Division

2 938, 690
469, 345

∴ So the LCM of the given numbers is 2 x 469 x 345 = 323610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323610

Therefore, the GCF of Fractions 4149/938,9557/690 is 1/323610

Least Common Multiple of 938,690 with GCF Formula

Least Common Multiple of 938,690 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 938,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,690) = 2

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

GCF(938,690) x common factors =2 x 1 = 2

LCM(938,690) = ( 938 × 690 ) / 2

LCM(938,690) = 647220 / 2

LCM(938,690) = 323610


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4149/938, 9557/690

1. What is the HCF of 4149,9557?

The HCF of 4149,9557 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 4149/938, 9557/690?

Answer: GCF of Numerators as per given numbers 4149/938, 9557/690 is

GCF of Numerators i.e. for 4149,9557 is 1

LCM of denominators i.e. for 938,690 is 323610.

Thus, GCF of Fractions is 1/323610.Finally, GCF of Fractions for 4149/938, 9557/690 is 1/323610.