How to Find GCF of 38/676, 87/627, 261/548?

GCF of 38/676, 87/627, 261/548

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 38/676, 87/627, 261/548 i.e 1/58067724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/676, 87/627, 261/548.

Enter two or more fractions separated by "commas"

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

What is the GCF of 38/676,87/627,261/548?

Given fractions are 38/676,87/627,261/548

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 38/676,87/627,261/548, numerators are 38,87,261

Denominators are 676,627,548

The GCF of 38,87,261 is 1 .

LCM of 676,627,548 is 58067724.

The greatest common factor of 38/676,87/627,261/548 = [GCF of 38,87,261]/[LCM of 676,627,548]= 1/58067724

Therefore, the GCF of 38/676,87/627,261/548 is 1/58067724.

Greatest Common Factor of 38,87,261

To find the highest common factor of 38,87,261, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 87 are 1, 3, 29, 87

The factors of 261 are 1, 3, 9, 29, 87, 261

The HCF of 38,87,261 is 1.

Lets's calculate GCF of 38,87,261

Greatest Common Factor (GCF) of 38,87,261 By Common Division

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

Greatest Common Factor of 38,87,261 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 261

1,3,9,29,87,261

Greatest Common Factor

We found the factors 38,87,261 . The biggest common factor number is the GCF number.
So the greatest common factor 38,87,261 is 1.

Lets's calculate LCM of 676,627,548

Lowest Common Multiple of 676,627,548 using Common Division

2	676, 627, 548
2	338, 627, 274
	169, 627, 137

∴ So the LCM of the given numbers is 2 x 2 x 169 x 627 x 137 = 58067724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58067724

Therefore, the GCF of Fractions 38/676,87/627,261/548 is 1/58067724

Least Common Multiple of 676,627,548 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 676,627,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,627,548) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(676,627,548) x common factors =1 x 4 = 4

LCM(676,627,548) = ( 676 × 627 × 548 ) / 4

LCM(676,627,548) = 232270896 / 4

LCM(676,627,548) = 58067724

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/676, 87/627, 261/548

1. What is the HCF of 38,87,261?

The HCF of 38,87,261 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 38/676, 87/627, 261/548?

Answer: GCF of Numerators as per given numbers 38/676, 87/627, 261/548 is

GCF of Numerators i.e. for 38,87,261 is 1

LCM of denominators i.e. for 676,627,548 is 58067724.

Thus, GCF of Fractions is 1/58067724.Finally, GCF of Fractions for 38/676, 87/627, 261/548 is 1/58067724.