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GCF of 275/91, 715/448

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 275/91, 715/448 i.e 55/5824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/91, 715/448.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 275/91,715/448?

Given fractions are 275/91,715/448

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 275/91,715/448, numerators are 275,715

Denominators are 91,448

The GCF of 275,715 is 55 .

LCM of 91,448 is 5824.

The greatest common factor of 275/91,715/448 = [GCF of 275,715]/[LCM of 91,448]= 55/5824

Therefore, the GCF of 275/91,715/448 is 55/5824.

Greatest Common Factor of 275,715

To find the highest common factor of 275,715, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

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

The HCF of 275,715 is 55.

Lets's calculate GCF of 275,715

Greatest Common Factor (GCF) of 275,715 By Common Division

5 275, 715
11 55, 143
5, 13

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 275,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,715 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

Now, list down the factors of 715

:

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

Greatest Common Factor

We found the factors 275,715 . The biggest common factor number is the GCF number.
So the greatest common factor 275,715 is 55.


Lets's calculate LCM of 91,448

Lowest Common Multiple of 91,448 using Common Division

7 91, 448
13, 64

∴ So the LCM of the given numbers is 7 x 13 x 64 = 5824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/5824

Therefore, the GCF of Fractions 275/91,715/448 is 55/5824

Least Common Multiple of 91,448 with GCF Formula

Least Common Multiple of 91,448 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 91,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,448) = 7

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

GCF(91,448) x common factors =7 x 1 = 7

LCM(91,448) = ( 91 × 448 ) / 7

LCM(91,448) = 40768 / 7

LCM(91,448) = 5824


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 275/91, 715/448

1. What is the HCF of 275,715?

The HCF of 275,715 is 55

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 275/91, 715/448?

Answer: GCF of Numerators as per given numbers 275/91, 715/448 is

GCF of Numerators i.e. for 275,715 is 55

LCM of denominators i.e. for 91,448 is 5824.

Thus, GCF of Fractions is 55/5824.Finally, GCF of Fractions for 275/91, 715/448 is 55/5824.