Greatest Common Factor of 76/190, 781/889, 794/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/190, 781/889, 794/450

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 76/190,781/889,794/450

Given fractions are 76/190,781/889,794/450

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 76,781,794

Greatest Common Factor of Numerators i.e. GCF of 76,781,794 is 1 .

LCM of Denominators means LCM of 190,889,450 as per the given fractions.

LCM of 190,889,450 is 7600950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,781,794

GCF of Fractions 76/190,781/889,794/450 is 1/7600950

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

Greatest Common Factor of 76,781,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,781,794 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 76,781,794 . The biggest common factor number is the GCF number.
So the greatest common factor 76,781,794 is 1.

Lets's calculate LCM of 190,889,450

2 190, 889, 450
5 95, 889, 225
19, 889, 45

∴ So the LCM of the given numbers is 2 x 5 x 19 x 889 x 45 = 7600950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7600950

Therefore, the GCF of Fractions 76/190,781/889,794/450 is 1/7600950

Least Common Multiple of 190,889,450 with GCF Formula

Least Common Multiple of 190,889,450 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 190,889,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,889,450) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(190,889,450) x common factors =1 x 10 = 10

LCM(190,889,450) = ( 190 × 889 × 450 ) / 10

LCM(190,889,450) = 76009500 / 10

LCM(190,889,450) = 7600950


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 76/190, 781/889, 794/450

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 76/190, 781/889, 794/450?

Answer: GCF of Numerators as per given numbers 76/190, 781/889, 794/450 is

GCF of Numerators i.e. for 76,781,794 is 1

LCM of denominators i.e. for 190,889,450 is 7600950.

Thus, GCF of Fractions is 1/7600950.Finally, GCF of Fractions for 76/190, 781/889, 794/450 is 1/7600950.