Greatest Common Factor of 622/709, 3457/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/709, 3457/656

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 622/709,3457/656

Given fractions are 622/709,3457/656

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 622,3457

Greatest Common Factor of Numerators i.e. GCF of 622,3457 is 1 .

LCM of Denominators means LCM of 709,656 as per the given fractions.

LCM of 709,656 is 465104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,3457

GCF of Fractions 622/709,3457/656 is 1/465104

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

Greatest Common Factor of 622,3457 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,3457 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 3457

List of positive integer factors of 3457 that divides 3457 without a remainder.

1,3457

Greatest Common Factor

We found the factors 622,3457 . The biggest common factor number is the GCF number.
So the greatest common factor 622,3457 is 1.

Lets's calculate LCM of 709,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 465104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465104

Therefore, the GCF of Fractions 622/709,3457/656 is 1/465104

Least Common Multiple of 709,656 with GCF Formula

Least Common Multiple of 709,656 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 709,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,656) = 1

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

GCF(709,656) x common factors =1 x 1 = 1

LCM(709,656) = ( 709 × 656 ) / 1

LCM(709,656) = 465104 / 1

LCM(709,656) = 465104


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 622/709, 3457/656

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 622/709, 3457/656?

Answer: GCF of Numerators as per given numbers 622/709, 3457/656 is

GCF of Numerators i.e. for 622,3457 is 1

LCM of denominators i.e. for 709,656 is 465104.

Thus, GCF of Fractions is 1/465104.Finally, GCF of Fractions for 622/709, 3457/656 is 1/465104.