Greatest Common Factor of 706/622, 7351/1910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/622, 7351/1910

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 706/622,7351/1910

Given fractions are 706/622,7351/1910

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 706,7351

Greatest Common Factor of Numerators i.e. GCF of 706,7351 is 1 .

LCM of Denominators means LCM of 622,1910 as per the given fractions.

LCM of 622,1910 is 594010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,7351

GCF of Fractions 706/622,7351/1910 is 1/594010

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

Greatest Common Factor of 706,7351 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,7351 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 7351

List of positive integer factors of 7351 that divides 7351 without a remainder.

1,7351

Greatest Common Factor

We found the factors 706,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 706,7351 is 1.

Lets's calculate LCM of 622,1910

2 622, 1910
311, 955

∴ So the LCM of the given numbers is 2 x 311 x 955 = 594010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594010

Therefore, the GCF of Fractions 706/622,7351/1910 is 1/594010

Least Common Multiple of 622,1910 with GCF Formula

Least Common Multiple of 622,1910 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 622,1910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,1910) = 2

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

GCF(622,1910) x common factors =2 x 1 = 2

LCM(622,1910) = ( 622 × 1910 ) / 2

LCM(622,1910) = 1188020 / 2

LCM(622,1910) = 594010


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 706/622, 7351/1910

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 706/622, 7351/1910?

Answer: GCF of Numerators as per given numbers 706/622, 7351/1910 is

GCF of Numerators i.e. for 706,7351 is 1

LCM of denominators i.e. for 622,1910 is 594010.

Thus, GCF of Fractions is 1/594010.Finally, GCF of Fractions for 706/622, 7351/1910 is 1/594010.