Greatest Common Factor of 92/55, 66/77, 590/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/55, 66/77, 590/35

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 92/55,66/77,590/35

Given fractions are 92/55,66/77,590/35

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 92,66,590

Greatest Common Factor of Numerators i.e. GCF of 92,66,590 is 2 .

LCM of Denominators means LCM of 55,77,35 as per the given fractions.

LCM of 55,77,35 is 385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,66,590

GCF of Fractions 92/55,66/77,590/35 is 2/385

2 92, 66, 590
46, 33, 295

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 92,66,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,66,590 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 92,66,590 . The biggest common factor number is the GCF number.
So the greatest common factor 92,66,590 is 2.

Lets's calculate LCM of 55,77,35

5 55, 77, 35
7 11, 77, 7
11 11, 11, 1
1, 1, 1

∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 1 x 1 = 385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385

Therefore, the GCF of Fractions 92/55,66/77,590/35 is 2/385

Least Common Multiple of 55,77,35 with GCF Formula

Least Common Multiple of 55,77,35 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 55,77,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,77,35) = 1

common factors(in case of two or more numbers have common factors) = 385

GCF(55,77,35) x common factors =1 x 385 = 385

LCM(55,77,35) = ( 55 × 77 × 35 ) / 385

LCM(55,77,35) = 148225 / 385

LCM(55,77,35) = 385


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 92/55, 66/77, 590/35

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 92/55, 66/77, 590/35?

Answer: GCF of Numerators as per given numbers 92/55, 66/77, 590/35 is

GCF of Numerators i.e. for 92,66,590 is 2

LCM of denominators i.e. for 55,77,35 is 385.

Thus, GCF of Fractions is 2/385.Finally, GCF of Fractions for 92/55, 66/77, 590/35 is 2/385.