Greatest Common Factor of 38/47, 49/17, 89/25, 889/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/47, 49/17, 89/25, 889/65

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 38/47,49/17,89/25,889/65

Given fractions are 38/47,49/17,89/25,889/65

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 38,49,89,889

Greatest Common Factor of Numerators i.e. GCF of 38,49,89,889 is 1 .

LCM of Denominators means LCM of 47,17,25,65 as per the given fractions.

LCM of 47,17,25,65 is 259675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,49,89,889

GCF of Fractions 38/47,49/17,89/25,889/65 is 1/259675

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

Greatest Common Factor of 38,49,89,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,49,89,889 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 38,49,89,889 . The biggest common factor number is the GCF number.
So the greatest common factor 38,49,89,889 is 1.

Lets's calculate LCM of 47,17,25,65

5 47, 17, 25, 65
47, 17, 5, 13

∴ So the LCM of the given numbers is 5 x 47 x 17 x 5 x 13 = 259675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259675

Therefore, the GCF of Fractions 38/47,49/17,89/25,889/65 is 1/259675

Least Common Multiple of 47,17,25,65 with GCF Formula

Least Common Multiple of 47,17,25,65 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 47,17,25,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,17,25,65) = 1

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

GCF(47,17,25,65) x common factors =1 x 5 = 5

LCM(47,17,25,65) = ( 47 × 17 × 25 × 65 ) / 5

LCM(47,17,25,65) = 1298375 / 5

LCM(47,17,25,65) = 259675


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 38/47, 49/17, 89/25, 889/65

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 38/47, 49/17, 89/25, 889/65?

Answer: GCF of Numerators as per given numbers 38/47, 49/17, 89/25, 889/65 is

GCF of Numerators i.e. for 38,49,89,889 is 1

LCM of denominators i.e. for 47,17,25,65 is 259675.

Thus, GCF of Fractions is 1/259675.Finally, GCF of Fractions for 38/47, 49/17, 89/25, 889/65 is 1/259675.