LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 90/636, 650/668

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 90/636, 650/668 i.e 10/106212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/636, 650/668.

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 90/636,650/668?

Given fractions are 90/636,650/668

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 90/636,650/668, numerators are 90,650

Denominators are 636,668

The GCF of 90,650 is 10 .

LCM of 636,668 is 106212.

The greatest common factor of 90/636,650/668 = [GCF of 90,650]/[LCM of 636,668]= 10/106212

Therefore, the GCF of 90/636,650/668 is 10/106212.

Greatest Common Factor of 90,650

To find the highest common factor of 90,650, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The HCF of 90,650 is 10.

Lets's calculate GCF of 90,650

Greatest Common Factor (GCF) of 90,650 By Common Division

2 90, 650
5 45, 325
9, 65

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 90,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,650 By Matching Biggest Common Factor Method

Now, list down the factors of 90

:

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

Now, list down the factors of 650

:

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 90,650 . The biggest common factor number is the GCF number.
So the greatest common factor 90,650 is 10.

Lets's calculate LCM of 636,668

Lowest Common Multiple of 636,668 using Common Division

2 636, 668
2 318, 334
159, 167

∴ So the LCM of the given numbers is 2 x 2 x 159 x 167 = 106212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/106212

Therefore, the GCF of Fractions 90/636,650/668 is 10/106212

Least Common Multiple of 636,668 with GCF Formula

Least Common Multiple of 636,668 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 636,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,668) = 4

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

GCF(636,668) x common factors =4 x 1 = 4

LCM(636,668) = ( 636 × 668 ) / 4

LCM(636,668) = 424848 / 4

LCM(636,668) = 106212


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 90/636, 650/668

1. What is the HCF of 90,650?

The HCF of 90,650 is 10

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 90/636, 650/668?

Answer: GCF of Numerators as per given numbers 90/636, 650/668 is

GCF of Numerators i.e. for 90,650 is 10

LCM of denominators i.e. for 636,668 is 106212.

Thus, GCF of Fractions is 10/106212.Finally, GCF of Fractions for 90/636, 650/668 is 10/106212.