Greatest Common Factor of 110/465, 772/429, 310/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/465, 772/429, 310/767

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 110/465,772/429,310/767

Given fractions are 110/465,772/429,310/767

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 110,772,310

Greatest Common Factor of Numerators i.e. GCF of 110,772,310 is 2 .

LCM of Denominators means LCM of 465,429,767 as per the given fractions.

LCM of 465,429,767 is 3923205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,772,310

GCF of Fractions 110/465,772/429,310/767 is 2/3923205

2 110, 772, 310
55, 386, 155

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

Greatest Common Factor of 110,772,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,772,310 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 310

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

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

Greatest Common Factor

We found the factors 110,772,310 . The biggest common factor number is the GCF number.
So the greatest common factor 110,772,310 is 2.

Lets's calculate LCM of 465,429,767

3 465, 429, 767
13 155, 143, 767
155, 11, 59

∴ So the LCM of the given numbers is 3 x 13 x 155 x 11 x 59 = 3923205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3923205

Therefore, the GCF of Fractions 110/465,772/429,310/767 is 2/3923205

Least Common Multiple of 465,429,767 with GCF Formula

Least Common Multiple of 465,429,767 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 465,429,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,429,767) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(465,429,767) x common factors =1 x 39 = 39

LCM(465,429,767) = ( 465 × 429 × 767 ) / 39

LCM(465,429,767) = 153004995 / 39

LCM(465,429,767) = 3923205


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 110/465, 772/429, 310/767

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 110/465, 772/429, 310/767?

Answer: GCF of Numerators as per given numbers 110/465, 772/429, 310/767 is

GCF of Numerators i.e. for 110,772,310 is 2

LCM of denominators i.e. for 465,429,767 is 3923205.

Thus, GCF of Fractions is 2/3923205.Finally, GCF of Fractions for 110/465, 772/429, 310/767 is 2/3923205.