Greatest Common Factor of 3418/707, 2260/7822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3418/707, 2260/7822

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 3418/707,2260/7822

Given fractions are 3418/707,2260/7822

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 3418,2260

Greatest Common Factor of Numerators i.e. GCF of 3418,2260 is 2 .

LCM of Denominators means LCM of 707,7822 as per the given fractions.

LCM of 707,7822 is 5530154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3418,2260

GCF of Fractions 3418/707,2260/7822 is 2/5530154

2 3418, 2260
1709, 1130

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

Greatest Common Factor of 3418,2260 By Matching Biggest Common Factor Method

Greatest Common Factor of 3418,2260 By Matching Biggest Common Factor Method

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

Factors of 2260

List of positive integer factors of 2260 that divides 2260 without a remainder.

1,2,4,5,10,20,113,226,452,565,1130,2260

Greatest Common Factor

We found the factors 3418,2260 . The biggest common factor number is the GCF number.
So the greatest common factor 3418,2260 is 2.

Lets's calculate LCM of 707,7822

Given numbers has no common factors except 1. So, there LCM is their product i.e 5530154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5530154

Therefore, the GCF of Fractions 3418/707,2260/7822 is 2/5530154

Least Common Multiple of 707,7822 with GCF Formula

Least Common Multiple of 707,7822 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 707,7822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,7822) = 1

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

GCF(707,7822) x common factors =1 x 1 = 1

LCM(707,7822) = ( 707 × 7822 ) / 1

LCM(707,7822) = 5530154 / 1

LCM(707,7822) = 5530154


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 3418/707, 2260/7822

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 3418/707, 2260/7822?

Answer: GCF of Numerators as per given numbers 3418/707, 2260/7822 is

GCF of Numerators i.e. for 3418,2260 is 2

LCM of denominators i.e. for 707,7822 is 5530154.

Thus, GCF of Fractions is 2/5530154.Finally, GCF of Fractions for 3418/707, 2260/7822 is 2/5530154.