Greatest Common Factor of 7379/834, 4465/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7379/834, 4465/889

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 7379/834,4465/889

Given fractions are 7379/834,4465/889

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 7379,4465

Greatest Common Factor of Numerators i.e. GCF of 7379,4465 is 47 .

LCM of Denominators means LCM of 834,889 as per the given fractions.

LCM of 834,889 is 741426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7379,4465

GCF of Fractions 7379/834,4465/889 is 47/741426

47 7379, 4465
157, 95

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 7379,4465 By Matching Biggest Common Factor Method

Greatest Common Factor of 7379,4465 By Matching Biggest Common Factor Method

Factors of 7379

List of positive integer factors of 7379 that divides 7379 without a remainder.

1,47,157,7379

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1,5,19,47,95,235,893,4465

Greatest Common Factor

We found the factors 7379,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 7379,4465 is 47.

Lets's calculate LCM of 834,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 741426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/741426

Therefore, the GCF of Fractions 7379/834,4465/889 is 47/741426

Least Common Multiple of 834,889 with GCF Formula

Least Common Multiple of 834,889 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 834,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,889) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(834,889) x common factors =1 x 1 = 1

LCM(834,889) = ( 834 × 889 ) / 1

LCM(834,889) = 741426 / 1

LCM(834,889) = 741426


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 7379/834, 4465/889

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 7379/834, 4465/889?

Answer: GCF of Numerators as per given numbers 7379/834, 4465/889 is

GCF of Numerators i.e. for 7379,4465 is 47

LCM of denominators i.e. for 834,889 is 741426.

Thus, GCF of Fractions is 47/741426.Finally, GCF of Fractions for 7379/834, 4465/889 is 47/741426.