Greatest Common Factor of 8077/361, 7200/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8077/361, 7200/221

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 8077/361,7200/221

Given fractions are 8077/361,7200/221

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 8077,7200

Greatest Common Factor of Numerators i.e. GCF of 8077,7200 is 1 .

LCM of Denominators means LCM of 361,221 as per the given fractions.

LCM of 361,221 is 79781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8077,7200

GCF of Fractions 8077/361,7200/221 is 1/79781

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

Greatest Common Factor of 8077,7200 By Matching Biggest Common Factor Method

Greatest Common Factor of 8077,7200 By Matching Biggest Common Factor Method

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1,41,197,8077

Factors of 7200

List of positive integer factors of 7200 that divides 7200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200

Greatest Common Factor

We found the factors 8077,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,7200 is 1.

Lets's calculate LCM of 361,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 79781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79781

Therefore, the GCF of Fractions 8077/361,7200/221 is 1/79781

Least Common Multiple of 361,221 with GCF Formula

Least Common Multiple of 361,221 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 361,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,221) = 1

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

GCF(361,221) x common factors =1 x 1 = 1

LCM(361,221) = ( 361 × 221 ) / 1

LCM(361,221) = 79781 / 1

LCM(361,221) = 79781


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 8077/361, 7200/221

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 8077/361, 7200/221?

Answer: GCF of Numerators as per given numbers 8077/361, 7200/221 is

GCF of Numerators i.e. for 8077,7200 is 1

LCM of denominators i.e. for 361,221 is 79781.

Thus, GCF of Fractions is 1/79781.Finally, GCF of Fractions for 8077/361, 7200/221 is 1/79781.