Greatest Common Factor of 7360/423, 7550/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7360/423, 7550/250

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 7360/423,7550/250

Given fractions are 7360/423,7550/250

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 7360,7550

Greatest Common Factor of Numerators i.e. GCF of 7360,7550 is 10 .

LCM of Denominators means LCM of 423,250 as per the given fractions.

LCM of 423,250 is 105750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7360,7550

GCF of Fractions 7360/423,7550/250 is 10/105750

2 7360, 7550
5 3680, 3775
736, 755

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7360,7550 By Matching Biggest Common Factor Method

Greatest Common Factor of 7360,7550 By Matching Biggest Common Factor Method

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1,2,5,10,25,50,151,302,755,1510,3775,7550

Greatest Common Factor

We found the factors 7360,7550 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,7550 is 10.

Lets's calculate LCM of 423,250

Given numbers has no common factors except 1. So, there LCM is their product i.e 105750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/105750

Therefore, the GCF of Fractions 7360/423,7550/250 is 10/105750

Least Common Multiple of 423,250 with GCF Formula

Least Common Multiple of 423,250 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 423,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,250) = 1

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

GCF(423,250) x common factors =1 x 1 = 1

LCM(423,250) = ( 423 × 250 ) / 1

LCM(423,250) = 105750 / 1

LCM(423,250) = 105750


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 7360/423, 7550/250

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 7360/423, 7550/250?

Answer: GCF of Numerators as per given numbers 7360/423, 7550/250 is

GCF of Numerators i.e. for 7360,7550 is 10

LCM of denominators i.e. for 423,250 is 105750.

Thus, GCF of Fractions is 10/105750.Finally, GCF of Fractions for 7360/423, 7550/250 is 10/105750.