Greatest Common Factor of 70/689, 30/380, 504/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/689, 30/380, 504/366

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 70/689,30/380,504/366

Given fractions are 70/689,30/380,504/366

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 70,30,504

Greatest Common Factor of Numerators i.e. GCF of 70,30,504 is 2 .

LCM of Denominators means LCM of 689,380,366 as per the given fractions.

LCM of 689,380,366 is 47913060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,30,504

GCF of Fractions 70/689,30/380,504/366 is 2/47913060

2 70, 30, 504
35, 15, 252

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

Greatest Common Factor of 70,30,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,30,504 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 70,30,504 . The biggest common factor number is the GCF number.
So the greatest common factor 70,30,504 is 2.

Lets's calculate LCM of 689,380,366

2 689, 380, 366
689, 190, 183

∴ So the LCM of the given numbers is 2 x 689 x 190 x 183 = 47913060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47913060

Therefore, the GCF of Fractions 70/689,30/380,504/366 is 2/47913060

Least Common Multiple of 689,380,366 with GCF Formula

Least Common Multiple of 689,380,366 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 689,380,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,380,366) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(689,380,366) x common factors =1 x 2 = 2

LCM(689,380,366) = ( 689 × 380 × 366 ) / 2

LCM(689,380,366) = 95826120 / 2

LCM(689,380,366) = 47913060


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 70/689, 30/380, 504/366

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 70/689, 30/380, 504/366?

Answer: GCF of Numerators as per given numbers 70/689, 30/380, 504/366 is

GCF of Numerators i.e. for 70,30,504 is 2

LCM of denominators i.e. for 689,380,366 is 47913060.

Thus, GCF of Fractions is 2/47913060.Finally, GCF of Fractions for 70/689, 30/380, 504/366 is 2/47913060.