How to Find GCF of 95/388, 23/388, 617/716?

GCF of 95/388, 23/388, 617/716

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 95/388, 23/388, 617/716 i.e 1/69452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/388, 23/388, 617/716.

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 95/388,23/388,617/716?

Given fractions are 95/388,23/388,617/716

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 95/388,23/388,617/716, numerators are 95,23,617

Denominators are 388,388,716

The GCF of 95,23,617 is 1 .

LCM of 388,388,716 is 69452.

The greatest common factor of 95/388,23/388,617/716 = [GCF of 95,23,617]/[LCM of 388,388,716]= 1/69452

Therefore, the GCF of 95/388,23/388,617/716 is 1/69452.

Greatest Common Factor of 95,23,617

To find the highest common factor of 95,23,617, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 23 are 1, 23

The factors of 617 are 1, 617

The HCF of 95,23,617 is 1.

Lets's calculate GCF of 95,23,617

Greatest Common Factor (GCF) of 95,23,617 By Common Division

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

Greatest Common Factor of 95,23,617 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 23

1,23

Now, list down the factors of 617

1,617

Greatest Common Factor

We found the factors 95,23,617 . The biggest common factor number is the GCF number.
So the greatest common factor 95,23,617 is 1.

Lets's calculate LCM of 388,388,716

Lowest Common Multiple of 388,388,716 using Common Division

2	388, 388, 716
2	194, 194, 358
97	97, 97, 179
	1, 1, 179

∴ So the LCM of the given numbers is 2 x 2 x 97 x 1 x 1 x 179 = 69452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69452

Therefore, the GCF of Fractions 95/388,23/388,617/716 is 1/69452

Least Common Multiple of 388,388,716 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 388,388,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,388,716) = 4

common factors(in case of two or more numbers have common factors) = 388

GCF(388,388,716) x common factors =4 x 388 = 1552

LCM(388,388,716) = ( 388 × 388 × 716 ) / 1552

LCM(388,388,716) = 107789504 / 1552

LCM(388,388,716) = 69452

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FAQs on GCF of Fractions of 95/388, 23/388, 617/716

1. What is the HCF of 95,23,617?

The HCF of 95,23,617 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 95/388, 23/388, 617/716?

Answer: GCF of Numerators as per given numbers 95/388, 23/388, 617/716 is

GCF of Numerators i.e. for 95,23,617 is 1

LCM of denominators i.e. for 388,388,716 is 69452.

Thus, GCF of Fractions is 1/69452.Finally, GCF of Fractions for 95/388, 23/388, 617/716 is 1/69452.