Greatest Common Factor of 694/79, 335/70, 680/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/79, 335/70, 680/330

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 694/79,335/70,680/330

Given fractions are 694/79,335/70,680/330

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 694,335,680

Greatest Common Factor of Numerators i.e. GCF of 694,335,680 is 1 .

LCM of Denominators means LCM of 79,70,330 as per the given fractions.

LCM of 79,70,330 is 182490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,335,680

GCF of Fractions 694/79,335/70,680/330 is 1/182490

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

Greatest Common Factor of 694,335,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,335,680 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 694,335,680 . The biggest common factor number is the GCF number.
So the greatest common factor 694,335,680 is 1.

Lets's calculate LCM of 79,70,330

2 79, 70, 330
5 79, 35, 165
79, 7, 33

∴ So the LCM of the given numbers is 2 x 5 x 79 x 7 x 33 = 182490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182490

Therefore, the GCF of Fractions 694/79,335/70,680/330 is 1/182490

Least Common Multiple of 79,70,330 with GCF Formula

Least Common Multiple of 79,70,330 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 79,70,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,70,330) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(79,70,330) x common factors =1 x 10 = 10

LCM(79,70,330) = ( 79 × 70 × 330 ) / 10

LCM(79,70,330) = 1824900 / 10

LCM(79,70,330) = 182490


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 694/79, 335/70, 680/330

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 694/79, 335/70, 680/330?

Answer: GCF of Numerators as per given numbers 694/79, 335/70, 680/330 is

GCF of Numerators i.e. for 694,335,680 is 1

LCM of denominators i.e. for 79,70,330 is 182490.

Thus, GCF of Fractions is 1/182490.Finally, GCF of Fractions for 694/79, 335/70, 680/330 is 1/182490.