How to Find GCF of 87/148, 42/510, 179/692?

GCF of 87/148, 42/510, 179/692

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 87/148, 42/510, 179/692 i.e 1/6529020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/148, 42/510, 179/692.

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 87/148,42/510,179/692?

Given fractions are 87/148,42/510,179/692

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 87/148,42/510,179/692, numerators are 87,42,179

Denominators are 148,510,692

The GCF of 87,42,179 is 1 .

LCM of 148,510,692 is 6529020.

The greatest common factor of 87/148,42/510,179/692 = [GCF of 87,42,179]/[LCM of 148,510,692]= 1/6529020

Therefore, the GCF of 87/148,42/510,179/692 is 1/6529020.

Greatest Common Factor of 87,42,179

To find the highest common factor of 87,42,179, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 179 are 1, 179

The HCF of 87,42,179 is 1.

Lets's calculate GCF of 87,42,179

Greatest Common Factor (GCF) of 87,42,179 By Common Division

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

Greatest Common Factor of 87,42,179 By Matching Biggest Common Factor Method

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 179

1,179

Greatest Common Factor

We found the factors 87,42,179 . The biggest common factor number is the GCF number.
So the greatest common factor 87,42,179 is 1.

Lets's calculate LCM of 148,510,692

Lowest Common Multiple of 148,510,692 using Common Division

2	148, 510, 692
2	74, 255, 346
	37, 255, 173

∴ So the LCM of the given numbers is 2 x 2 x 37 x 255 x 173 = 6529020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6529020

Therefore, the GCF of Fractions 87/148,42/510,179/692 is 1/6529020

Least Common Multiple of 148,510,692 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 148,510,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,510,692) = 2

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

GCF(148,510,692) x common factors =2 x 4 = 8

LCM(148,510,692) = ( 148 × 510 × 692 ) / 8

LCM(148,510,692) = 52232160 / 8

LCM(148,510,692) = 6529020

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FAQs on GCF of Fractions of 87/148, 42/510, 179/692

1. What is the HCF of 87,42,179?

The HCF of 87,42,179 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 87/148, 42/510, 179/692?

Answer: GCF of Numerators as per given numbers 87/148, 42/510, 179/692 is

GCF of Numerators i.e. for 87,42,179 is 1

LCM of denominators i.e. for 148,510,692 is 6529020.

Thus, GCF of Fractions is 1/6529020.Finally, GCF of Fractions for 87/148, 42/510, 179/692 is 1/6529020.