Greatest Common Factor of 5248/461, 7600/9802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5248/461, 7600/9802

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 5248/461,7600/9802

Given fractions are 5248/461,7600/9802

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 5248,7600

Greatest Common Factor of Numerators i.e. GCF of 5248,7600 is 16 .

LCM of Denominators means LCM of 461,9802 as per the given fractions.

LCM of 461,9802 is 4518722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5248,7600

GCF of Fractions 5248/461,7600/9802 is 16/4518722

2 5248, 7600
2 2624, 3800
2 1312, 1900
2 656, 950
328, 475

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 5248,7600 By Matching Biggest Common Factor Method

Greatest Common Factor of 5248,7600 By Matching Biggest Common Factor Method

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600

Greatest Common Factor

We found the factors 5248,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 5248,7600 is 16.

Lets's calculate LCM of 461,9802

Given numbers has no common factors except 1. So, there LCM is their product i.e 4518722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4518722

Therefore, the GCF of Fractions 5248/461,7600/9802 is 16/4518722

Least Common Multiple of 461,9802 with GCF Formula

Least Common Multiple of 461,9802 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 461,9802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,9802) = 1

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

GCF(461,9802) x common factors =1 x 1 = 1

LCM(461,9802) = ( 461 × 9802 ) / 1

LCM(461,9802) = 4518722 / 1

LCM(461,9802) = 4518722


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 5248/461, 7600/9802

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 5248/461, 7600/9802?

Answer: GCF of Numerators as per given numbers 5248/461, 7600/9802 is

GCF of Numerators i.e. for 5248,7600 is 16

LCM of denominators i.e. for 461,9802 is 4518722.

Thus, GCF of Fractions is 16/4518722.Finally, GCF of Fractions for 5248/461, 7600/9802 is 16/4518722.