Greatest Common Factor of 326/14, 880/65, 127/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/14, 880/65, 127/308

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 326/14,880/65,127/308

Given fractions are 326/14,880/65,127/308

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 326,880,127

Greatest Common Factor of Numerators i.e. GCF of 326,880,127 is 1 .

LCM of Denominators means LCM of 14,65,308 as per the given fractions.

LCM of 14,65,308 is 20020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,880,127

GCF of Fractions 326/14,880/65,127/308 is 1/20020

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

Greatest Common Factor of 326,880,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,880,127 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 326,880,127 . The biggest common factor number is the GCF number.
So the greatest common factor 326,880,127 is 1.

Lets's calculate LCM of 14,65,308

2 14, 65, 308
7 7, 65, 154
1, 65, 22

∴ So the LCM of the given numbers is 2 x 7 x 1 x 65 x 22 = 20020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20020

Therefore, the GCF of Fractions 326/14,880/65,127/308 is 1/20020

Least Common Multiple of 14,65,308 with GCF Formula

Least Common Multiple of 14,65,308 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 14,65,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,65,308) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,65,308) x common factors =1 x 14 = 14

LCM(14,65,308) = ( 14 × 65 × 308 ) / 14

LCM(14,65,308) = 280280 / 14

LCM(14,65,308) = 20020


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 326/14, 880/65, 127/308

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 326/14, 880/65, 127/308?

Answer: GCF of Numerators as per given numbers 326/14, 880/65, 127/308 is

GCF of Numerators i.e. for 326,880,127 is 1

LCM of denominators i.e. for 14,65,308 is 20020.

Thus, GCF of Fractions is 1/20020.Finally, GCF of Fractions for 326/14, 880/65, 127/308 is 1/20020.