Greatest Common Factor of 69/434, 955/921, 471/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/434, 955/921, 471/106

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 69/434,955/921,471/106

Given fractions are 69/434,955/921,471/106

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 69,955,471

Greatest Common Factor of Numerators i.e. GCF of 69,955,471 is 1 .

LCM of Denominators means LCM of 434,921,106 as per the given fractions.

LCM of 434,921,106 is 21184842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,955,471

GCF of Fractions 69/434,955/921,471/106 is 1/21184842

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

Greatest Common Factor of 69,955,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,955,471 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 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 69,955,471 . The biggest common factor number is the GCF number.
So the greatest common factor 69,955,471 is 1.

Lets's calculate LCM of 434,921,106

2 434, 921, 106
217, 921, 53

∴ So the LCM of the given numbers is 2 x 217 x 921 x 53 = 21184842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21184842

Therefore, the GCF of Fractions 69/434,955/921,471/106 is 1/21184842

Least Common Multiple of 434,921,106 with GCF Formula

Least Common Multiple of 434,921,106 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 434,921,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,921,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(434,921,106) x common factors =1 x 2 = 2

LCM(434,921,106) = ( 434 × 921 × 106 ) / 2

LCM(434,921,106) = 42369684 / 2

LCM(434,921,106) = 21184842


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 69/434, 955/921, 471/106

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 69/434, 955/921, 471/106?

Answer: GCF of Numerators as per given numbers 69/434, 955/921, 471/106 is

GCF of Numerators i.e. for 69,955,471 is 1

LCM of denominators i.e. for 434,921,106 is 21184842.

Thus, GCF of Fractions is 1/21184842.Finally, GCF of Fractions for 69/434, 955/921, 471/106 is 1/21184842.