How to Find GCF of 14/89, 79/132, 617/817?

GCF of 14/89, 79/132, 617/817

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 14/89, 79/132, 617/817 i.e 1/9598116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/89, 79/132, 617/817.

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 14/89,79/132,617/817?

Given fractions are 14/89,79/132,617/817

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 14/89,79/132,617/817, numerators are 14,79,617

Denominators are 89,132,817

The GCF of 14,79,617 is 1 .

LCM of 89,132,817 is 9598116.

The greatest common factor of 14/89,79/132,617/817 = [GCF of 14,79,617]/[LCM of 89,132,817]= 1/9598116

Therefore, the GCF of 14/89,79/132,617/817 is 1/9598116.

Greatest Common Factor of 14,79,617

To find the highest common factor of 14,79,617, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 79 are 1, 79

The factors of 617 are 1, 617

The HCF of 14,79,617 is 1.

Lets's calculate GCF of 14,79,617

Greatest Common Factor (GCF) of 14,79,617 By Common Division

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

Greatest Common Factor of 14,79,617 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 79

1,79

Now, list down the factors of 617

1,617

Greatest Common Factor

We found the factors 14,79,617 . The biggest common factor number is the GCF number.
So the greatest common factor 14,79,617 is 1.

Lets's calculate LCM of 89,132,817

Lowest Common Multiple of 89,132,817 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9598116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9598116

Therefore, the GCF of Fractions 14/89,79/132,617/817 is 1/9598116

Least Common Multiple of 89,132,817 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 89,132,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,132,817) = 1

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

GCF(89,132,817) x common factors =1 x 1 = 1

LCM(89,132,817) = ( 89 × 132 × 817 ) / 1

LCM(89,132,817) = 9598116 / 1

LCM(89,132,817) = 9598116

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FAQs on GCF of Fractions of 14/89, 79/132, 617/817

1. What is the HCF of 14,79,617?

The HCF of 14,79,617 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 14/89, 79/132, 617/817?

Answer: GCF of Numerators as per given numbers 14/89, 79/132, 617/817 is

GCF of Numerators i.e. for 14,79,617 is 1

LCM of denominators i.e. for 89,132,817 is 9598116.

Thus, GCF of Fractions is 1/9598116.Finally, GCF of Fractions for 14/89, 79/132, 617/817 is 1/9598116.