Greatest Common Factor of 69/64, 51/36, 34/56, 888/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/64, 51/36, 34/56, 888/14

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 69/64,51/36,34/56,888/14

Given fractions are 69/64,51/36,34/56,888/14

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 69,51,34,888

Greatest Common Factor of Numerators i.e. GCF of 69,51,34,888 is 1 .

LCM of Denominators means LCM of 64,36,56,14 as per the given fractions.

LCM of 64,36,56,14 is 4032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,51,34,888

GCF of Fractions 69/64,51/36,34/56,888/14 is 1/4032

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

Greatest Common Factor of 69,51,34,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,51,34,888 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 69,51,34,888 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,34,888 is 1.

Lets's calculate LCM of 64,36,56,14

2 64, 36, 56, 14
2 32, 18, 28, 7
2 16, 9, 14, 7
7 8, 9, 7, 7
8, 9, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 9 x 1 x 1 = 4032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4032

Therefore, the GCF of Fractions 69/64,51/36,34/56,888/14 is 1/4032

Least Common Multiple of 64,36,56,14 with GCF Formula

Least Common Multiple of 64,36,56,14 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 64,36,56,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,36,56,14) = 2

common factors(in case of two or more numbers have common factors) = 224

GCF(64,36,56,14) x common factors =2 x 224 = 448

LCM(64,36,56,14) = ( 64 × 36 × 56 × 14 ) / 448

LCM(64,36,56,14) = 1806336 / 448

LCM(64,36,56,14) = 4032


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 69/64, 51/36, 34/56, 888/14

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 69/64, 51/36, 34/56, 888/14?

Answer: GCF of Numerators as per given numbers 69/64, 51/36, 34/56, 888/14 is

GCF of Numerators i.e. for 69,51,34,888 is 1

LCM of denominators i.e. for 64,36,56,14 is 4032.

Thus, GCF of Fractions is 1/4032.Finally, GCF of Fractions for 69/64, 51/36, 34/56, 888/14 is 1/4032.