Greatest Common Factor of 160/336, 476/764, 415/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/336, 476/764, 415/770

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 160/336,476/764,415/770

Given fractions are 160/336,476/764,415/770

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 160,476,415

Greatest Common Factor of Numerators i.e. GCF of 160,476,415 is 1 .

LCM of Denominators means LCM of 336,764,770 as per the given fractions.

LCM of 336,764,770 is 3529680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,476,415

GCF of Fractions 160/336,476/764,415/770 is 1/3529680

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

Greatest Common Factor of 160,476,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,476,415 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

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 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 160,476,415 . The biggest common factor number is the GCF number.
So the greatest common factor 160,476,415 is 1.

Lets's calculate LCM of 336,764,770

2 336, 764, 770
2 168, 382, 385
7 84, 191, 385
12, 191, 55

∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 191 x 55 = 3529680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3529680

Therefore, the GCF of Fractions 160/336,476/764,415/770 is 1/3529680

Least Common Multiple of 336,764,770 with GCF Formula

Least Common Multiple of 336,764,770 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 336,764,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,764,770) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(336,764,770) x common factors =2 x 28 = 56

LCM(336,764,770) = ( 336 × 764 × 770 ) / 56

LCM(336,764,770) = 197662080 / 56

LCM(336,764,770) = 3529680


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 160/336, 476/764, 415/770

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 160/336, 476/764, 415/770?

Answer: GCF of Numerators as per given numbers 160/336, 476/764, 415/770 is

GCF of Numerators i.e. for 160,476,415 is 1

LCM of denominators i.e. for 336,764,770 is 3529680.

Thus, GCF of Fractions is 1/3529680.Finally, GCF of Fractions for 160/336, 476/764, 415/770 is 1/3529680.