Greatest Common Factor of 90/67, 523/37, 551/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/67, 523/37, 551/248

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 90/67,523/37,551/248

Given fractions are 90/67,523/37,551/248

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 90,523,551

Greatest Common Factor of Numerators i.e. GCF of 90,523,551 is 1 .

LCM of Denominators means LCM of 67,37,248 as per the given fractions.

LCM of 67,37,248 is 614792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,523,551

GCF of Fractions 90/67,523/37,551/248 is 1/614792

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

Greatest Common Factor of 90,523,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,523,551 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 90,523,551 . The biggest common factor number is the GCF number.
So the greatest common factor 90,523,551 is 1.

Lets's calculate LCM of 67,37,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 614792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614792

Therefore, the GCF of Fractions 90/67,523/37,551/248 is 1/614792

Least Common Multiple of 67,37,248 with GCF Formula

Least Common Multiple of 67,37,248 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 67,37,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,37,248) = 1

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

GCF(67,37,248) x common factors =1 x 1 = 1

LCM(67,37,248) = ( 67 × 37 × 248 ) / 1

LCM(67,37,248) = 614792 / 1

LCM(67,37,248) = 614792


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 90/67, 523/37, 551/248

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 90/67, 523/37, 551/248?

Answer: GCF of Numerators as per given numbers 90/67, 523/37, 551/248 is

GCF of Numerators i.e. for 90,523,551 is 1

LCM of denominators i.e. for 67,37,248 is 614792.

Thus, GCF of Fractions is 1/614792.Finally, GCF of Fractions for 90/67, 523/37, 551/248 is 1/614792.