Greatest Common Factor of 7220/54, 3800/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7220/54, 3800/577

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 7220/54,3800/577

Given fractions are 7220/54,3800/577

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 7220,3800

Greatest Common Factor of Numerators i.e. GCF of 7220,3800 is 380 .

LCM of Denominators means LCM of 54,577 as per the given fractions.

LCM of 54,577 is 31158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7220,3800

GCF of Fractions 7220/54,3800/577 is 380/31158

2 7220, 3800
2 3610, 1900
5 1805, 950
19 361, 190
19, 10

∴ So the GCF of the given numbers is 2 x 2 x 5 x 19 = 380

Greatest Common Factor of 7220,3800 By Matching Biggest Common Factor Method

Greatest Common Factor of 7220,3800 By Matching Biggest Common Factor Method

Factors of 7220

List of positive integer factors of 7220 that divides 7220 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

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

Greatest Common Factor

We found the factors 7220,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 7220,3800 is 380.

Lets's calculate LCM of 54,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 31158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 380/31158

Therefore, the GCF of Fractions 7220/54,3800/577 is 380/31158

Least Common Multiple of 54,577 with GCF Formula

Least Common Multiple of 54,577 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 54,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,577) = 1

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

GCF(54,577) x common factors =1 x 1 = 1

LCM(54,577) = ( 54 × 577 ) / 1

LCM(54,577) = 31158 / 1

LCM(54,577) = 31158


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 7220/54, 3800/577

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 7220/54, 3800/577?

Answer: GCF of Numerators as per given numbers 7220/54, 3800/577 is

GCF of Numerators i.e. for 7220,3800 is 380

LCM of denominators i.e. for 54,577 is 31158.

Thus, GCF of Fractions is 380/31158.Finally, GCF of Fractions for 7220/54, 3800/577 is 380/31158.