Greatest Common Factor of 170/778, 511/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/778, 511/476

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 170/778,511/476

Given fractions are 170/778,511/476

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 170,511

Greatest Common Factor of Numerators i.e. GCF of 170,511 is 1 .

LCM of Denominators means LCM of 778,476 as per the given fractions.

LCM of 778,476 is 185164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,511

GCF of Fractions 170/778,511/476 is 1/185164

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

Greatest Common Factor of 170,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,511 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 170,511 . The biggest common factor number is the GCF number.
So the greatest common factor 170,511 is 1.

Lets's calculate LCM of 778,476

2 778, 476
389, 238

∴ So the LCM of the given numbers is 2 x 389 x 238 = 185164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185164

Therefore, the GCF of Fractions 170/778,511/476 is 1/185164

Least Common Multiple of 778,476 with GCF Formula

Least Common Multiple of 778,476 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 778,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,476) = 2

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

GCF(778,476) x common factors =2 x 1 = 2

LCM(778,476) = ( 778 × 476 ) / 2

LCM(778,476) = 370328 / 2

LCM(778,476) = 185164


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 170/778, 511/476

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 170/778, 511/476?

Answer: GCF of Numerators as per given numbers 170/778, 511/476 is

GCF of Numerators i.e. for 170,511 is 1

LCM of denominators i.e. for 778,476 is 185164.

Thus, GCF of Fractions is 1/185164.Finally, GCF of Fractions for 170/778, 511/476 is 1/185164.