Greatest Common Factor of 9801/770, 5587/2284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9801/770, 5587/2284

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 9801/770,5587/2284

Given fractions are 9801/770,5587/2284

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 9801,5587

Greatest Common Factor of Numerators i.e. GCF of 9801,5587 is 1 .

LCM of Denominators means LCM of 770,2284 as per the given fractions.

LCM of 770,2284 is 879340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9801,5587

GCF of Fractions 9801/770,5587/2284 is 1/879340

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9801,5587 By Matching Biggest Common Factor Method

Greatest Common Factor of 9801,5587 By Matching Biggest Common Factor Method

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Factors of 5587

List of positive integer factors of 5587 that divides 5587 without a remainder.

1,37,151,5587

Greatest Common Factor

We found the factors 9801,5587 . The biggest common factor number is the GCF number.
So the greatest common factor 9801,5587 is 1.

Lets's calculate LCM of 770,2284

2 770, 2284
385, 1142

∴ So the LCM of the given numbers is 2 x 385 x 1142 = 879340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/879340

Therefore, the GCF of Fractions 9801/770,5587/2284 is 1/879340

Least Common Multiple of 770,2284 with GCF Formula

Least Common Multiple of 770,2284 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 770,2284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,2284) = 2

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

GCF(770,2284) x common factors =2 x 1 = 2

LCM(770,2284) = ( 770 × 2284 ) / 2

LCM(770,2284) = 1758680 / 2

LCM(770,2284) = 879340


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 9801/770, 5587/2284

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 9801/770, 5587/2284?

Answer: GCF of Numerators as per given numbers 9801/770, 5587/2284 is

GCF of Numerators i.e. for 9801,5587 is 1

LCM of denominators i.e. for 770,2284 is 879340.

Thus, GCF of Fractions is 1/879340.Finally, GCF of Fractions for 9801/770, 5587/2284 is 1/879340.