Greatest Common Factor of 889/725, 3444/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/725, 3444/485

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 889/725,3444/485

Given fractions are 889/725,3444/485

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 889,3444

Greatest Common Factor of Numerators i.e. GCF of 889,3444 is 7 .

LCM of Denominators means LCM of 725,485 as per the given fractions.

LCM of 725,485 is 70325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,3444

GCF of Fractions 889/725,3444/485 is 7/70325

7 889, 3444
127, 492

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 889,3444 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,3444 By Matching Biggest Common Factor Method

Factors of 889

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

1,7,127,889

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Greatest Common Factor

We found the factors 889,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 889,3444 is 7.

Lets's calculate LCM of 725,485

5 725, 485
145, 97

∴ So the LCM of the given numbers is 5 x 145 x 97 = 70325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/70325

Therefore, the GCF of Fractions 889/725,3444/485 is 7/70325

Least Common Multiple of 725,485 with GCF Formula

Least Common Multiple of 725,485 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 725,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,485) = 5

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

GCF(725,485) x common factors =5 x 1 = 5

LCM(725,485) = ( 725 × 485 ) / 5

LCM(725,485) = 351625 / 5

LCM(725,485) = 70325


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 889/725, 3444/485

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 889/725, 3444/485?

Answer: GCF of Numerators as per given numbers 889/725, 3444/485 is

GCF of Numerators i.e. for 889,3444 is 7

LCM of denominators i.e. for 725,485 is 70325.

Thus, GCF of Fractions is 7/70325.Finally, GCF of Fractions for 889/725, 3444/485 is 7/70325.