Greatest Common Factor of 90/67, 35/65, 255/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/67, 35/65, 255/77

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 90/67,35/65,255/77

Given fractions are 90/67,35/65,255/77

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 90,35,255

Greatest Common Factor of Numerators i.e. GCF of 90,35,255 is 5 .

LCM of Denominators means LCM of 67,65,77 as per the given fractions.

LCM of 67,65,77 is 335335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,35,255

GCF of Fractions 90/67,35/65,255/77 is 5/335335

5 90, 35, 255
18, 7, 51

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 90,35,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,35,255 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 90,35,255 . The biggest common factor number is the GCF number.
So the greatest common factor 90,35,255 is 5.

Lets's calculate LCM of 67,65,77

Given numbers has no common factors except 1. So, there LCM is their product i.e 335335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/335335

Therefore, the GCF of Fractions 90/67,35/65,255/77 is 5/335335

Least Common Multiple of 67,65,77 with GCF Formula

Least Common Multiple of 67,65,77 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 67,65,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,65,77) = 1

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

GCF(67,65,77) x common factors =1 x 1 = 1

LCM(67,65,77) = ( 67 × 65 × 77 ) / 1

LCM(67,65,77) = 335335 / 1

LCM(67,65,77) = 335335


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 90/67, 35/65, 255/77

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, 35/65, 255/77?

Answer: GCF of Numerators as per given numbers 90/67, 35/65, 255/77 is

GCF of Numerators i.e. for 90,35,255 is 5

LCM of denominators i.e. for 67,65,77 is 335335.

Thus, GCF of Fractions is 5/335335.Finally, GCF of Fractions for 90/67, 35/65, 255/77 is 5/335335.