Greatest Common Factor of 1448/625, 3224/7662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1448/625, 3224/7662

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 1448/625,3224/7662

Given fractions are 1448/625,3224/7662

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 1448,3224

Greatest Common Factor of Numerators i.e. GCF of 1448,3224 is 8 .

LCM of Denominators means LCM of 625,7662 as per the given fractions.

LCM of 625,7662 is 4788750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1448,3224

GCF of Fractions 1448/625,3224/7662 is 8/4788750

2 1448, 3224
2 724, 1612
2 362, 806
181, 403

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1448,3224 By Matching Biggest Common Factor Method

Greatest Common Factor of 1448,3224 By Matching Biggest Common Factor Method

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224

Greatest Common Factor

We found the factors 1448,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 1448,3224 is 8.

Lets's calculate LCM of 625,7662

Given numbers has no common factors except 1. So, there LCM is their product i.e 4788750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4788750

Therefore, the GCF of Fractions 1448/625,3224/7662 is 8/4788750

Least Common Multiple of 625,7662 with GCF Formula

Least Common Multiple of 625,7662 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 625,7662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,7662) = 1

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

GCF(625,7662) x common factors =1 x 1 = 1

LCM(625,7662) = ( 625 × 7662 ) / 1

LCM(625,7662) = 4788750 / 1

LCM(625,7662) = 4788750


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 1448/625, 3224/7662

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 1448/625, 3224/7662?

Answer: GCF of Numerators as per given numbers 1448/625, 3224/7662 is

GCF of Numerators i.e. for 1448,3224 is 8

LCM of denominators i.e. for 625,7662 is 4788750.

Thus, GCF of Fractions is 8/4788750.Finally, GCF of Fractions for 1448/625, 3224/7662 is 8/4788750.