Greatest Common Factor of 5550/996, 7425/5360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5550/996, 7425/5360

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 5550/996,7425/5360

Given fractions are 5550/996,7425/5360

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 5550,7425

Greatest Common Factor of Numerators i.e. GCF of 5550,7425 is 75 .

LCM of Denominators means LCM of 996,5360 as per the given fractions.

LCM of 996,5360 is 1334640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5550,7425

GCF of Fractions 5550/996,7425/5360 is 75/1334640

3 5550, 7425
5 1850, 2475
5 370, 495
74, 99

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Greatest Common Factor of 5550,7425 By Matching Biggest Common Factor Method

Greatest Common Factor of 5550,7425 By Matching Biggest Common Factor Method

Factors of 5550

List of positive integer factors of 5550 that divides 5550 without a remainder.

1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Greatest Common Factor

We found the factors 5550,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 5550,7425 is 75.

Lets's calculate LCM of 996,5360

2 996, 5360
2 498, 2680
249, 1340

∴ So the LCM of the given numbers is 2 x 2 x 249 x 1340 = 1334640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/1334640

Therefore, the GCF of Fractions 5550/996,7425/5360 is 75/1334640

Least Common Multiple of 996,5360 with GCF Formula

Least Common Multiple of 996,5360 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 996,5360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,5360) = 4

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

GCF(996,5360) x common factors =4 x 1 = 4

LCM(996,5360) = ( 996 × 5360 ) / 4

LCM(996,5360) = 5338560 / 4

LCM(996,5360) = 1334640


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 5550/996, 7425/5360

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 5550/996, 7425/5360?

Answer: GCF of Numerators as per given numbers 5550/996, 7425/5360 is

GCF of Numerators i.e. for 5550,7425 is 75

LCM of denominators i.e. for 996,5360 is 1334640.

Thus, GCF of Fractions is 75/1334640.Finally, GCF of Fractions for 5550/996, 7425/5360 is 75/1334640.