Greatest Common Factor of 854/66, 257/65, 614/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 854/66, 257/65, 614/17

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 854/66,257/65,614/17

Given fractions are 854/66,257/65,614/17

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 854,257,614

Greatest Common Factor of Numerators i.e. GCF of 854,257,614 is 1 .

LCM of Denominators means LCM of 66,65,17 as per the given fractions.

LCM of 66,65,17 is 72930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 854,257,614

GCF of Fractions 854/66,257/65,614/17 is 1/72930

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

Greatest Common Factor of 854,257,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,257,614 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 854,257,614 . The biggest common factor number is the GCF number.
So the greatest common factor 854,257,614 is 1.

Lets's calculate LCM of 66,65,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 72930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72930

Therefore, the GCF of Fractions 854/66,257/65,614/17 is 1/72930

Least Common Multiple of 66,65,17 with GCF Formula

Least Common Multiple of 66,65,17 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 66,65,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,65,17) = 1

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

GCF(66,65,17) x common factors =1 x 1 = 1

LCM(66,65,17) = ( 66 × 65 × 17 ) / 1

LCM(66,65,17) = 72930 / 1

LCM(66,65,17) = 72930


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 854/66, 257/65, 614/17

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 854/66, 257/65, 614/17?

Answer: GCF of Numerators as per given numbers 854/66, 257/65, 614/17 is

GCF of Numerators i.e. for 854,257,614 is 1

LCM of denominators i.e. for 66,65,17 is 72930.

Thus, GCF of Fractions is 1/72930.Finally, GCF of Fractions for 854/66, 257/65, 614/17 is 1/72930.