Greatest Common Factor of 94/308, 474/890, 465/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/308, 474/890, 465/895

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 94/308,474/890,465/895

Given fractions are 94/308,474/890,465/895

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 94,474,465

Greatest Common Factor of Numerators i.e. GCF of 94,474,465 is 1 .

LCM of Denominators means LCM of 308,890,895 as per the given fractions.

LCM of 308,890,895 is 24533740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,474,465

GCF of Fractions 94/308,474/890,465/895 is 1/24533740

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

Greatest Common Factor of 94,474,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,474,465 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 94,474,465 . The biggest common factor number is the GCF number.
So the greatest common factor 94,474,465 is 1.

Lets's calculate LCM of 308,890,895

2 308, 890, 895
5 154, 445, 895
154, 89, 179

∴ So the LCM of the given numbers is 2 x 5 x 154 x 89 x 179 = 24533740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24533740

Therefore, the GCF of Fractions 94/308,474/890,465/895 is 1/24533740

Least Common Multiple of 308,890,895 with GCF Formula

Least Common Multiple of 308,890,895 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 308,890,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,890,895) = 1

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

GCF(308,890,895) x common factors =1 x 10 = 10

LCM(308,890,895) = ( 308 × 890 × 895 ) / 10

LCM(308,890,895) = 245337400 / 10

LCM(308,890,895) = 24533740


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 94/308, 474/890, 465/895

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 94/308, 474/890, 465/895?

Answer: GCF of Numerators as per given numbers 94/308, 474/890, 465/895 is

GCF of Numerators i.e. for 94,474,465 is 1

LCM of denominators i.e. for 308,890,895 is 24533740.

Thus, GCF of Fractions is 1/24533740.Finally, GCF of Fractions for 94/308, 474/890, 465/895 is 1/24533740.