How to Find GCF of 76/63, 515/10, 361/172?

GCF of 76/63, 515/10, 361/172

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 76/63, 515/10, 361/172 i.e 1/54180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/63, 515/10, 361/172.

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 76/63,515/10,361/172?

Given fractions are 76/63,515/10,361/172

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 76/63,515/10,361/172, numerators are 76,515,361

Denominators are 63,10,172

The GCF of 76,515,361 is 1 .

LCM of 63,10,172 is 54180.

The greatest common factor of 76/63,515/10,361/172 = [GCF of 76,515,361]/[LCM of 63,10,172]= 1/54180

Therefore, the GCF of 76/63,515/10,361/172 is 1/54180.

Greatest Common Factor of 76,515,361

To find the highest common factor of 76,515,361, we have to find the factors of both numbers and list the highest common factor.

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 515 are 1, 5, 103, 515

The factors of 361 are 1, 19, 361

The HCF of 76,515,361 is 1.

Lets's calculate GCF of 76,515,361

Greatest Common Factor (GCF) of 76,515,361 By Common Division

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

Greatest Common Factor of 76,515,361 By Matching Biggest Common Factor Method

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 515

1,5,103,515

Now, list down the factors of 361

1,19,361

Greatest Common Factor

We found the factors 76,515,361 . The biggest common factor number is the GCF number.
So the greatest common factor 76,515,361 is 1.

Lets's calculate LCM of 63,10,172

Lowest Common Multiple of 63,10,172 using Common Division

2	63, 10, 172
	63, 5, 86

∴ So the LCM of the given numbers is 2 x 63 x 5 x 86 = 54180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54180

Therefore, the GCF of Fractions 76/63,515/10,361/172 is 1/54180

Least Common Multiple of 63,10,172 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 63,10,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,10,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(63,10,172) x common factors =1 x 2 = 2

LCM(63,10,172) = ( 63 × 10 × 172 ) / 2

LCM(63,10,172) = 108360 / 2

LCM(63,10,172) = 54180

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FAQs on GCF of Fractions of 76/63, 515/10, 361/172

1. What is the HCF of 76,515,361?

The HCF of 76,515,361 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 76/63, 515/10, 361/172?

Answer: GCF of Numerators as per given numbers 76/63, 515/10, 361/172 is

GCF of Numerators i.e. for 76,515,361 is 1

LCM of denominators i.e. for 63,10,172 is 54180.

Thus, GCF of Fractions is 1/54180.Finally, GCF of Fractions for 76/63, 515/10, 361/172 is 1/54180.