Greatest Common Factor of 1394/334, 6052/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1394/334, 6052/763

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 1394/334,6052/763

Given fractions are 1394/334,6052/763

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 1394,6052

Greatest Common Factor of Numerators i.e. GCF of 1394,6052 is 34 .

LCM of Denominators means LCM of 334,763 as per the given fractions.

LCM of 334,763 is 254842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1394,6052

GCF of Fractions 1394/334,6052/763 is 34/254842

2 1394, 6052
17 697, 3026
41, 178

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 1394,6052 By Matching Biggest Common Factor Method

Greatest Common Factor of 1394,6052 By Matching Biggest Common Factor Method

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Factors of 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1,2,4,17,34,68,89,178,356,1513,3026,6052

Greatest Common Factor

We found the factors 1394,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,6052 is 34.

Lets's calculate LCM of 334,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 254842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/254842

Therefore, the GCF of Fractions 1394/334,6052/763 is 34/254842

Least Common Multiple of 334,763 with GCF Formula

Least Common Multiple of 334,763 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 334,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,763) = 1

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

GCF(334,763) x common factors =1 x 1 = 1

LCM(334,763) = ( 334 × 763 ) / 1

LCM(334,763) = 254842 / 1

LCM(334,763) = 254842


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 1394/334, 6052/763

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 1394/334, 6052/763?

Answer: GCF of Numerators as per given numbers 1394/334, 6052/763 is

GCF of Numerators i.e. for 1394,6052 is 34

LCM of denominators i.e. for 334,763 is 254842.

Thus, GCF of Fractions is 34/254842.Finally, GCF of Fractions for 1394/334, 6052/763 is 34/254842.