Greatest Common Factor of 1/58, 42/25, 67/355, 446/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/58, 42/25, 67/355, 446/617

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 1/58,42/25,67/355,446/617

Given fractions are 1/58,42/25,67/355,446/617

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 1,42,67,446

Greatest Common Factor of Numerators i.e. GCF of 1,42,67,446 is 1 .

LCM of Denominators means LCM of 58,25,355,617 as per the given fractions.

LCM of 58,25,355,617 is 63520150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,42,67,446

GCF of Fractions 1/58,42/25,67/355,446/617 is 1/63520150

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

Greatest Common Factor of 1,42,67,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,42,67,446 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 1,42,67,446 . The biggest common factor number is the GCF number.
So the greatest common factor 1,42,67,446 is 1.

Lets's calculate LCM of 58,25,355,617

5 58, 25, 355, 617
58, 5, 71, 617

∴ So the LCM of the given numbers is 5 x 58 x 5 x 71 x 617 = 63520150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63520150

Therefore, the GCF of Fractions 1/58,42/25,67/355,446/617 is 1/63520150

Least Common Multiple of 58,25,355,617 with GCF Formula

Least Common Multiple of 58,25,355,617 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 58,25,355,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,25,355,617) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(58,25,355,617) x common factors =1 x 5 = 5

LCM(58,25,355,617) = ( 58 × 25 × 355 × 617 ) / 5

LCM(58,25,355,617) = 317600750 / 5

LCM(58,25,355,617) = 63520150


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 1/58, 42/25, 67/355, 446/617

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 1/58, 42/25, 67/355, 446/617?

Answer: GCF of Numerators as per given numbers 1/58, 42/25, 67/355, 446/617 is

GCF of Numerators i.e. for 1,42,67,446 is 1

LCM of denominators i.e. for 58,25,355,617 is 63520150.

Thus, GCF of Fractions is 1/63520150.Finally, GCF of Fractions for 1/58, 42/25, 67/355, 446/617 is 1/63520150.