Greatest Common Factor of 476/21, 469/92, 706/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/21, 469/92, 706/745

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 476/21,469/92,706/745

Given fractions are 476/21,469/92,706/745

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 476,469,706

Greatest Common Factor of Numerators i.e. GCF of 476,469,706 is 1 .

LCM of Denominators means LCM of 21,92,745 as per the given fractions.

LCM of 21,92,745 is 1439340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,469,706

GCF of Fractions 476/21,469/92,706/745 is 1/1439340

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

Greatest Common Factor of 476,469,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,469,706 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 476,469,706 . The biggest common factor number is the GCF number.
So the greatest common factor 476,469,706 is 1.

Lets's calculate LCM of 21,92,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439340

Therefore, the GCF of Fractions 476/21,469/92,706/745 is 1/1439340

Least Common Multiple of 21,92,745 with GCF Formula

Least Common Multiple of 21,92,745 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 21,92,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,92,745) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,92,745) x common factors =1 x 1 = 1

LCM(21,92,745) = ( 21 × 92 × 745 ) / 1

LCM(21,92,745) = 1439340 / 1

LCM(21,92,745) = 1439340


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 476/21, 469/92, 706/745

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 476/21, 469/92, 706/745?

Answer: GCF of Numerators as per given numbers 476/21, 469/92, 706/745 is

GCF of Numerators i.e. for 476,469,706 is 1

LCM of denominators i.e. for 21,92,745 is 1439340.

Thus, GCF of Fractions is 1/1439340.Finally, GCF of Fractions for 476/21, 469/92, 706/745 is 1/1439340.