Greatest Common Factor of 565/62, 649/34, 692/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/62, 649/34, 692/158

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 565/62,649/34,692/158

Given fractions are 565/62,649/34,692/158

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 565,649,692

Greatest Common Factor of Numerators i.e. GCF of 565,649,692 is 1 .

LCM of Denominators means LCM of 62,34,158 as per the given fractions.

LCM of 62,34,158 is 83266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,649,692

GCF of Fractions 565/62,649/34,692/158 is 1/83266

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

Greatest Common Factor of 565,649,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,649,692 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 692

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

1,2,4,173,346,692

Greatest Common Factor

We found the factors 565,649,692 . The biggest common factor number is the GCF number.
So the greatest common factor 565,649,692 is 1.

Lets's calculate LCM of 62,34,158

2 62, 34, 158
31, 17, 79

∴ So the LCM of the given numbers is 2 x 31 x 17 x 79 = 83266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83266

Therefore, the GCF of Fractions 565/62,649/34,692/158 is 1/83266

Least Common Multiple of 62,34,158 with GCF Formula

Least Common Multiple of 62,34,158 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 62,34,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,34,158) = 2

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

GCF(62,34,158) x common factors =2 x 2 = 4

LCM(62,34,158) = ( 62 × 34 × 158 ) / 4

LCM(62,34,158) = 333064 / 4

LCM(62,34,158) = 83266


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 565/62, 649/34, 692/158

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 565/62, 649/34, 692/158?

Answer: GCF of Numerators as per given numbers 565/62, 649/34, 692/158 is

GCF of Numerators i.e. for 565,649,692 is 1

LCM of denominators i.e. for 62,34,158 is 83266.

Thus, GCF of Fractions is 1/83266.Finally, GCF of Fractions for 565/62, 649/34, 692/158 is 1/83266.