Greatest Common Factor of 294/175, 6254/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/175, 6254/683

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 294/175,6254/683

Given fractions are 294/175,6254/683

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 294,6254

Greatest Common Factor of Numerators i.e. GCF of 294,6254 is 2 .

LCM of Denominators means LCM of 175,683 as per the given fractions.

LCM of 175,683 is 119525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,6254

GCF of Fractions 294/175,6254/683 is 2/119525

2 294, 6254
147, 3127

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

Greatest Common Factor of 294,6254 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,6254 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1,2,53,59,106,118,3127,6254

Greatest Common Factor

We found the factors 294,6254 . The biggest common factor number is the GCF number.
So the greatest common factor 294,6254 is 2.

Lets's calculate LCM of 175,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 119525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119525

Therefore, the GCF of Fractions 294/175,6254/683 is 2/119525

Least Common Multiple of 175,683 with GCF Formula

Least Common Multiple of 175,683 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 175,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,683) = 1

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

GCF(175,683) x common factors =1 x 1 = 1

LCM(175,683) = ( 175 × 683 ) / 1

LCM(175,683) = 119525 / 1

LCM(175,683) = 119525


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 294/175, 6254/683

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 294/175, 6254/683?

Answer: GCF of Numerators as per given numbers 294/175, 6254/683 is

GCF of Numerators i.e. for 294,6254 is 2

LCM of denominators i.e. for 175,683 is 119525.

Thus, GCF of Fractions is 2/119525.Finally, GCF of Fractions for 294/175, 6254/683 is 2/119525.