Greatest Common Factor of 1/34, 74/86, 76/490, 371/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/34, 74/86, 76/490, 371/307

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 1/34,74/86,76/490,371/307

Given fractions are 1/34,74/86,76/490,371/307

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 1,74,76,371

Greatest Common Factor of Numerators i.e. GCF of 1,74,76,371 is 1 .

LCM of Denominators means LCM of 34,86,490,307 as per the given fractions.

LCM of 34,86,490,307 is 109964330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,74,76,371

GCF of Fractions 1/34,74/86,76/490,371/307 is 1/109964330

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

Greatest Common Factor of 1,74,76,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,74,76,371 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

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

1,2,4,19,38,76

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 1,74,76,371 . The biggest common factor number is the GCF number.
So the greatest common factor 1,74,76,371 is 1.

Lets's calculate LCM of 34,86,490,307

2 34, 86, 490, 307
17, 43, 245, 307

∴ So the LCM of the given numbers is 2 x 17 x 43 x 245 x 307 = 109964330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109964330

Therefore, the GCF of Fractions 1/34,74/86,76/490,371/307 is 1/109964330

Least Common Multiple of 34,86,490,307 with GCF Formula

Least Common Multiple of 34,86,490,307 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 34,86,490,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,86,490,307) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(34,86,490,307) x common factors =1 x 4 = 4

LCM(34,86,490,307) = ( 34 × 86 × 490 × 307 ) / 4

LCM(34,86,490,307) = 439857320 / 4

LCM(34,86,490,307) = 109964330


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 1/34, 74/86, 76/490, 371/307

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 1/34, 74/86, 76/490, 371/307?

Answer: GCF of Numerators as per given numbers 1/34, 74/86, 76/490, 371/307 is

GCF of Numerators i.e. for 1,74,76,371 is 1

LCM of denominators i.e. for 34,86,490,307 is 109964330.

Thus, GCF of Fractions is 1/109964330.Finally, GCF of Fractions for 1/34, 74/86, 76/490, 371/307 is 1/109964330.