Greatest Common Factor of 5315/703, 2784/8148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5315/703, 2784/8148

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 5315/703,2784/8148

Given fractions are 5315/703,2784/8148

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 5315,2784

Greatest Common Factor of Numerators i.e. GCF of 5315,2784 is 1 .

LCM of Denominators means LCM of 703,8148 as per the given fractions.

LCM of 703,8148 is 5728044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5315,2784

GCF of Fractions 5315/703,2784/8148 is 1/5728044

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

Greatest Common Factor of 5315,2784 By Matching Biggest Common Factor Method

Greatest Common Factor of 5315,2784 By Matching Biggest Common Factor Method

Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1,5,1063,5315

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784

Greatest Common Factor

We found the factors 5315,2784 . The biggest common factor number is the GCF number.
So the greatest common factor 5315,2784 is 1.

Lets's calculate LCM of 703,8148

Given numbers has no common factors except 1. So, there LCM is their product i.e 5728044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5728044

Therefore, the GCF of Fractions 5315/703,2784/8148 is 1/5728044

Least Common Multiple of 703,8148 with GCF Formula

Least Common Multiple of 703,8148 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 703,8148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,8148) = 1

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

GCF(703,8148) x common factors =1 x 1 = 1

LCM(703,8148) = ( 703 × 8148 ) / 1

LCM(703,8148) = 5728044 / 1

LCM(703,8148) = 5728044


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 5315/703, 2784/8148

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 5315/703, 2784/8148?

Answer: GCF of Numerators as per given numbers 5315/703, 2784/8148 is

GCF of Numerators i.e. for 5315,2784 is 1

LCM of denominators i.e. for 703,8148 is 5728044.

Thus, GCF of Fractions is 1/5728044.Finally, GCF of Fractions for 5315/703, 2784/8148 is 1/5728044.