Greatest Common Factor of 784/55, 514/47, 270/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/55, 514/47, 270/752

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 784/55,514/47,270/752

Given fractions are 784/55,514/47,270/752

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 784,514,270

Greatest Common Factor of Numerators i.e. GCF of 784,514,270 is 2 .

LCM of Denominators means LCM of 55,47,752 as per the given fractions.

LCM of 55,47,752 is 41360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,514,270

GCF of Fractions 784/55,514/47,270/752 is 2/41360

2 784, 514, 270
392, 257, 135

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

Greatest Common Factor of 784,514,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,514,270 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 784,514,270 . The biggest common factor number is the GCF number.
So the greatest common factor 784,514,270 is 2.

Lets's calculate LCM of 55,47,752

47 55, 47, 752
55, 1, 16

∴ So the LCM of the given numbers is 47 x 55 x 1 x 16 = 41360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41360

Therefore, the GCF of Fractions 784/55,514/47,270/752 is 2/41360

Least Common Multiple of 55,47,752 with GCF Formula

Least Common Multiple of 55,47,752 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 55,47,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,47,752) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(55,47,752) x common factors =1 x 47 = 47

LCM(55,47,752) = ( 55 × 47 × 752 ) / 47

LCM(55,47,752) = 1943920 / 47

LCM(55,47,752) = 41360


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 784/55, 514/47, 270/752

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 784/55, 514/47, 270/752?

Answer: GCF of Numerators as per given numbers 784/55, 514/47, 270/752 is

GCF of Numerators i.e. for 784,514,270 is 2

LCM of denominators i.e. for 55,47,752 is 41360.

Thus, GCF of Fractions is 2/41360.Finally, GCF of Fractions for 784/55, 514/47, 270/752 is 2/41360.