How to Find GCF of 715/961, 117/469?

GCF of 715/961, 117/469

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 715/961, 117/469 i.e 13/450709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/961, 117/469.

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 715/961,117/469?

Given fractions are 715/961,117/469

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 715/961,117/469, numerators are 715,117

Denominators are 961,469

The GCF of 715,117 is 13 .

LCM of 961,469 is 450709.

The greatest common factor of 715/961,117/469 = [GCF of 715,117]/[LCM of 961,469]= 13/450709

Therefore, the GCF of 715/961,117/469 is 13/450709.

Greatest Common Factor of 715,117

To find the highest common factor of 715,117, we have to find the factors of both numbers and list the highest common factor.

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The factors of 117 are 1, 3, 9, 13, 39, 117

The HCF of 715,117 is 13.

Lets's calculate GCF of 715,117

Greatest Common Factor (GCF) of 715,117 By Common Division

13	715, 117
	55, 9

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 715,117 By Matching Biggest Common Factor Method

Now, list down the factors of 715

1,5,11,13,55,65,143,715

Now, list down the factors of 117

1,3,9,13,39,117

Greatest Common Factor

We found the factors 715,117 . The biggest common factor number is the GCF number.
So the greatest common factor 715,117 is 13.

Lets's calculate LCM of 961,469

Lowest Common Multiple of 961,469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 450709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/450709

Therefore, the GCF of Fractions 715/961,117/469 is 13/450709

Least Common Multiple of 961,469 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 961,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,469) = 1

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

GCF(961,469) x common factors =1 x 1 = 1

LCM(961,469) = ( 961 × 469 ) / 1

LCM(961,469) = 450709 / 1

LCM(961,469) = 450709

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FAQs on GCF of Fractions of 715/961, 117/469

1. What is the HCF of 715,117?

The HCF of 715,117 is 13

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 715/961, 117/469?

Answer: GCF of Numerators as per given numbers 715/961, 117/469 is

GCF of Numerators i.e. for 715,117 is 13

LCM of denominators i.e. for 961,469 is 450709.

Thus, GCF of Fractions is 13/450709.Finally, GCF of Fractions for 715/961, 117/469 is 13/450709.