Greatest Common Factor of 779/35, 490/43, 228/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/35, 490/43, 228/292

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 779/35,490/43,228/292

Given fractions are 779/35,490/43,228/292

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 779,490,228

Greatest Common Factor of Numerators i.e. GCF of 779,490,228 is 1 .

LCM of Denominators means LCM of 35,43,292 as per the given fractions.

LCM of 35,43,292 is 439460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,490,228

GCF of Fractions 779/35,490/43,228/292 is 1/439460

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

Greatest Common Factor of 779,490,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,490,228 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 779,490,228 . The biggest common factor number is the GCF number.
So the greatest common factor 779,490,228 is 1.

Lets's calculate LCM of 35,43,292

Given numbers has no common factors except 1. So, there LCM is their product i.e 439460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439460

Therefore, the GCF of Fractions 779/35,490/43,228/292 is 1/439460

Least Common Multiple of 35,43,292 with GCF Formula

Least Common Multiple of 35,43,292 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 35,43,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,43,292) = 1

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

GCF(35,43,292) x common factors =1 x 1 = 1

LCM(35,43,292) = ( 35 × 43 × 292 ) / 1

LCM(35,43,292) = 439460 / 1

LCM(35,43,292) = 439460


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 779/35, 490/43, 228/292

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 779/35, 490/43, 228/292?

Answer: GCF of Numerators as per given numbers 779/35, 490/43, 228/292 is

GCF of Numerators i.e. for 779,490,228 is 1

LCM of denominators i.e. for 35,43,292 is 439460.

Thus, GCF of Fractions is 1/439460.Finally, GCF of Fractions for 779/35, 490/43, 228/292 is 1/439460.