How to Find GCF of 5623/666, 9175/1958?

GCF of 5623/666, 9175/1958

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 5623/666, 9175/1958 i.e 1/652014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5623/666, 9175/1958.

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 5623/666,9175/1958?

Given fractions are 5623/666,9175/1958

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 5623/666,9175/1958, numerators are 5623,9175

Denominators are 666,1958

The GCF of 5623,9175 is 1 .

LCM of 666,1958 is 652014.

The greatest common factor of 5623/666,9175/1958 = [GCF of 5623,9175]/[LCM of 666,1958]= 1/652014

Therefore, the GCF of 5623/666,9175/1958 is 1/652014.

Greatest Common Factor of 5623,9175

To find the highest common factor of 5623,9175, we have to find the factors of both numbers and list the highest common factor.

The factors of 5623 are 1, 5623

The factors of 9175 are 1, 5, 25, 367, 1835, 9175

The HCF of 5623,9175 is 1.

Lets's calculate GCF of 5623,9175

Greatest Common Factor (GCF) of 5623,9175 By Common Division

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

Greatest Common Factor of 5623,9175 By Matching Biggest Common Factor Method

Now, list down the factors of 5623

1,5623

Now, list down the factors of 9175

1,5,25,367,1835,9175

Greatest Common Factor

We found the factors 5623,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 5623,9175 is 1.

Lets's calculate LCM of 666,1958

Lowest Common Multiple of 666,1958 using Common Division

2	666, 1958
	333, 979

∴ So the LCM of the given numbers is 2 x 333 x 979 = 652014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652014

Therefore, the GCF of Fractions 5623/666,9175/1958 is 1/652014

Least Common Multiple of 666,1958 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 666,1958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,1958) = 2

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

GCF(666,1958) x common factors =2 x 1 = 2

LCM(666,1958) = ( 666 × 1958 ) / 2

LCM(666,1958) = 1304028 / 2

LCM(666,1958) = 652014

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FAQs on GCF of Fractions of 5623/666, 9175/1958

1. What is the HCF of 5623,9175?

The HCF of 5623,9175 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 5623/666, 9175/1958?

Answer: GCF of Numerators as per given numbers 5623/666, 9175/1958 is

GCF of Numerators i.e. for 5623,9175 is 1

LCM of denominators i.e. for 666,1958 is 652014.

Thus, GCF of Fractions is 1/652014.Finally, GCF of Fractions for 5623/666, 9175/1958 is 1/652014.