Greatest Common Factor of 935/312, 459/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/312, 459/668

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 935/312,459/668

Given fractions are 935/312,459/668

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 935,459

Greatest Common Factor of Numerators i.e. GCF of 935,459 is 17 .

LCM of Denominators means LCM of 312,668 as per the given fractions.

LCM of 312,668 is 52104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,459

GCF of Fractions 935/312,459/668 is 17/52104

17 935, 459
55, 27

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 935,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,459 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 935,459 . The biggest common factor number is the GCF number.
So the greatest common factor 935,459 is 17.

Lets's calculate LCM of 312,668

2 312, 668
2 156, 334
78, 167

∴ So the LCM of the given numbers is 2 x 2 x 78 x 167 = 52104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/52104

Therefore, the GCF of Fractions 935/312,459/668 is 17/52104

Least Common Multiple of 312,668 with GCF Formula

Least Common Multiple of 312,668 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 312,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,668) = 4

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

GCF(312,668) x common factors =4 x 1 = 4

LCM(312,668) = ( 312 × 668 ) / 4

LCM(312,668) = 208416 / 4

LCM(312,668) = 52104


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 935/312, 459/668

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 935/312, 459/668?

Answer: GCF of Numerators as per given numbers 935/312, 459/668 is

GCF of Numerators i.e. for 935,459 is 17

LCM of denominators i.e. for 312,668 is 52104.

Thus, GCF of Fractions is 17/52104.Finally, GCF of Fractions for 935/312, 459/668 is 17/52104.