Greatest Common Factor of 1/14, 17/19, 68/896, 619/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/14, 17/19, 68/896, 619/955

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 1/14,17/19,68/896,619/955

Given fractions are 1/14,17/19,68/896,619/955

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 1,17,68,619

Greatest Common Factor of Numerators i.e. GCF of 1,17,68,619 is 1 .

LCM of Denominators means LCM of 14,19,896,955 as per the given fractions.

LCM of 14,19,896,955 is 16257920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,17,68,619

GCF of Fractions 1/14,17/19,68/896,619/955 is 1/16257920

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

Greatest Common Factor of 1,17,68,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,17,68,619 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 1,17,68,619 . The biggest common factor number is the GCF number.
So the greatest common factor 1,17,68,619 is 1.

Lets's calculate LCM of 14,19,896,955

2 14, 19, 896, 955
7 7, 19, 448, 955
1, 19, 64, 955

∴ So the LCM of the given numbers is 2 x 7 x 1 x 19 x 64 x 955 = 16257920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16257920

Therefore, the GCF of Fractions 1/14,17/19,68/896,619/955 is 1/16257920

Least Common Multiple of 14,19,896,955 with GCF Formula

Least Common Multiple of 14,19,896,955 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 14,19,896,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,19,896,955) = 1

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

GCF(14,19,896,955) x common factors =1 x 14 = 14

LCM(14,19,896,955) = ( 14 × 19 × 896 × 955 ) / 14

LCM(14,19,896,955) = 227610880 / 14

LCM(14,19,896,955) = 16257920


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 1/14, 17/19, 68/896, 619/955

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 1/14, 17/19, 68/896, 619/955?

Answer: GCF of Numerators as per given numbers 1/14, 17/19, 68/896, 619/955 is

GCF of Numerators i.e. for 1,17,68,619 is 1

LCM of denominators i.e. for 14,19,896,955 is 16257920.

Thus, GCF of Fractions is 1/16257920.Finally, GCF of Fractions for 1/14, 17/19, 68/896, 619/955 is 1/16257920.