Greatest Common Factor of 692/90, 793/14, 965/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/90, 793/14, 965/667

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 692/90,793/14,965/667

Given fractions are 692/90,793/14,965/667

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 692,793,965

Greatest Common Factor of Numerators i.e. GCF of 692,793,965 is 1 .

LCM of Denominators means LCM of 90,14,667 as per the given fractions.

LCM of 90,14,667 is 420210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,793,965

GCF of Fractions 692/90,793/14,965/667 is 1/420210

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

Greatest Common Factor of 692,793,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,793,965 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 692,793,965 . The biggest common factor number is the GCF number.
So the greatest common factor 692,793,965 is 1.

Lets's calculate LCM of 90,14,667

2 90, 14, 667
45, 7, 667

∴ So the LCM of the given numbers is 2 x 45 x 7 x 667 = 420210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420210

Therefore, the GCF of Fractions 692/90,793/14,965/667 is 1/420210

Least Common Multiple of 90,14,667 with GCF Formula

Least Common Multiple of 90,14,667 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 90,14,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,14,667) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,14,667) x common factors =1 x 2 = 2

LCM(90,14,667) = ( 90 × 14 × 667 ) / 2

LCM(90,14,667) = 840420 / 2

LCM(90,14,667) = 420210


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 692/90, 793/14, 965/667

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 692/90, 793/14, 965/667?

Answer: GCF of Numerators as per given numbers 692/90, 793/14, 965/667 is

GCF of Numerators i.e. for 692,793,965 is 1

LCM of denominators i.e. for 90,14,667 is 420210.

Thus, GCF of Fractions is 1/420210.Finally, GCF of Fractions for 692/90, 793/14, 965/667 is 1/420210.