Greatest Common Factor of 548/565, 216/675, 601/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/565, 216/675, 601/628

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 548/565,216/675,601/628

Given fractions are 548/565,216/675,601/628

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 548,216,601

Greatest Common Factor of Numerators i.e. GCF of 548,216,601 is 1 .

LCM of Denominators means LCM of 565,675,628 as per the given fractions.

LCM of 565,675,628 is 47900700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,216,601

GCF of Fractions 548/565,216/675,601/628 is 1/47900700

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

Greatest Common Factor of 548,216,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,216,601 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 548,216,601 . The biggest common factor number is the GCF number.
So the greatest common factor 548,216,601 is 1.

Lets's calculate LCM of 565,675,628

5 565, 675, 628
113, 135, 628

∴ So the LCM of the given numbers is 5 x 113 x 135 x 628 = 47900700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47900700

Therefore, the GCF of Fractions 548/565,216/675,601/628 is 1/47900700

Least Common Multiple of 565,675,628 with GCF Formula

Least Common Multiple of 565,675,628 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 565,675,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,675,628) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(565,675,628) x common factors =1 x 5 = 5

LCM(565,675,628) = ( 565 × 675 × 628 ) / 5

LCM(565,675,628) = 239503500 / 5

LCM(565,675,628) = 47900700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 548/565, 216/675, 601/628

1. 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.

2. What is the GCF of Fractions for 548/565, 216/675, 601/628?

Answer: GCF of Numerators as per given numbers 548/565, 216/675, 601/628 is

GCF of Numerators i.e. for 548,216,601 is 1

LCM of denominators i.e. for 565,675,628 is 47900700.

Thus, GCF of Fractions is 1/47900700.Finally, GCF of Fractions for 548/565, 216/675, 601/628 is 1/47900700.