Greatest Common Factor of 1408/687, 7292/3290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1408/687, 7292/3290

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 1408/687,7292/3290

Given fractions are 1408/687,7292/3290

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 1408,7292

Greatest Common Factor of Numerators i.e. GCF of 1408,7292 is 4 .

LCM of Denominators means LCM of 687,3290 as per the given fractions.

LCM of 687,3290 is 2260230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1408,7292

GCF of Fractions 1408/687,7292/3290 is 4/2260230

2 1408, 7292
2 704, 3646
352, 1823

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1408,7292 By Matching Biggest Common Factor Method

Greatest Common Factor of 1408,7292 By Matching Biggest Common Factor Method

Factors of 1408

List of positive integer factors of 1408 that divides 1408 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408

Factors of 7292

List of positive integer factors of 7292 that divides 7292 without a remainder.

1,2,4,1823,3646,7292

Greatest Common Factor

We found the factors 1408,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 1408,7292 is 4.

Lets's calculate LCM of 687,3290

Given numbers has no common factors except 1. So, there LCM is their product i.e 2260230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2260230

Therefore, the GCF of Fractions 1408/687,7292/3290 is 4/2260230

Least Common Multiple of 687,3290 with GCF Formula

Least Common Multiple of 687,3290 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 687,3290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,3290) = 1

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

GCF(687,3290) x common factors =1 x 1 = 1

LCM(687,3290) = ( 687 × 3290 ) / 1

LCM(687,3290) = 2260230 / 1

LCM(687,3290) = 2260230


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 1408/687, 7292/3290

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 1408/687, 7292/3290?

Answer: GCF of Numerators as per given numbers 1408/687, 7292/3290 is

GCF of Numerators i.e. for 1408,7292 is 4

LCM of denominators i.e. for 687,3290 is 2260230.

Thus, GCF of Fractions is 4/2260230.Finally, GCF of Fractions for 1408/687, 7292/3290 is 4/2260230.