Greatest Common Factor of 6314/89, 1174/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6314/89, 1174/245

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 6314/89,1174/245

Given fractions are 6314/89,1174/245

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 6314,1174

Greatest Common Factor of Numerators i.e. GCF of 6314,1174 is 2 .

LCM of Denominators means LCM of 89,245 as per the given fractions.

LCM of 89,245 is 21805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6314,1174

GCF of Fractions 6314/89,1174/245 is 2/21805

2 6314, 1174
3157, 587

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

Greatest Common Factor of 6314,1174 By Matching Biggest Common Factor Method

Greatest Common Factor of 6314,1174 By Matching Biggest Common Factor Method

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1,2,587,1174

Greatest Common Factor

We found the factors 6314,1174 . The biggest common factor number is the GCF number.
So the greatest common factor 6314,1174 is 2.

Lets's calculate LCM of 89,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 21805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21805

Therefore, the GCF of Fractions 6314/89,1174/245 is 2/21805

Least Common Multiple of 89,245 with GCF Formula

Least Common Multiple of 89,245 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 89,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,245) = 1

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

GCF(89,245) x common factors =1 x 1 = 1

LCM(89,245) = ( 89 × 245 ) / 1

LCM(89,245) = 21805 / 1

LCM(89,245) = 21805


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 6314/89, 1174/245

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 6314/89, 1174/245?

Answer: GCF of Numerators as per given numbers 6314/89, 1174/245 is

GCF of Numerators i.e. for 6314,1174 is 2

LCM of denominators i.e. for 89,245 is 21805.

Thus, GCF of Fractions is 2/21805.Finally, GCF of Fractions for 6314/89, 1174/245 is 2/21805.