Greatest Common Factor of 310/34, 667/19, 176/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/34, 667/19, 176/785

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 310/34,667/19,176/785

Given fractions are 310/34,667/19,176/785

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 310,667,176

Greatest Common Factor of Numerators i.e. GCF of 310,667,176 is 1 .

LCM of Denominators means LCM of 34,19,785 as per the given fractions.

LCM of 34,19,785 is 507110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,667,176

GCF of Fractions 310/34,667/19,176/785 is 1/507110

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

Greatest Common Factor of 310,667,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,667,176 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 310,667,176 . The biggest common factor number is the GCF number.
So the greatest common factor 310,667,176 is 1.

Lets's calculate LCM of 34,19,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 507110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507110

Therefore, the GCF of Fractions 310/34,667/19,176/785 is 1/507110

Least Common Multiple of 34,19,785 with GCF Formula

Least Common Multiple of 34,19,785 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 34,19,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,19,785) = 1

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

GCF(34,19,785) x common factors =1 x 1 = 1

LCM(34,19,785) = ( 34 × 19 × 785 ) / 1

LCM(34,19,785) = 507110 / 1

LCM(34,19,785) = 507110


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 310/34, 667/19, 176/785

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 310/34, 667/19, 176/785?

Answer: GCF of Numerators as per given numbers 310/34, 667/19, 176/785 is

GCF of Numerators i.e. for 310,667,176 is 1

LCM of denominators i.e. for 34,19,785 is 507110.

Thus, GCF of Fractions is 1/507110.Finally, GCF of Fractions for 310/34, 667/19, 176/785 is 1/507110.