Greatest Common Factor of 7320/190, 9720/2770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7320/190, 9720/2770

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 7320/190,9720/2770

Given fractions are 7320/190,9720/2770

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 7320,9720

Greatest Common Factor of Numerators i.e. GCF of 7320,9720 is 120 .

LCM of Denominators means LCM of 190,2770 as per the given fractions.

LCM of 190,2770 is 52630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7320,9720

GCF of Fractions 7320/190,9720/2770 is 120/52630

2 7320, 9720
2 3660, 4860
2 1830, 2430
3 915, 1215
5 305, 405
61, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Greatest Common Factor of 7320,9720 By Matching Biggest Common Factor Method

Greatest Common Factor of 7320,9720 By Matching Biggest Common Factor Method

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Greatest Common Factor

We found the factors 7320,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,9720 is 120.

Lets's calculate LCM of 190,2770

2 190, 2770
5 95, 1385
19, 277

∴ So the LCM of the given numbers is 2 x 5 x 19 x 277 = 52630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 120/52630

Therefore, the GCF of Fractions 7320/190,9720/2770 is 120/52630

Least Common Multiple of 190,2770 with GCF Formula

Least Common Multiple of 190,2770 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 190,2770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,2770) = 10

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

GCF(190,2770) x common factors =10 x 1 = 10

LCM(190,2770) = ( 190 × 2770 ) / 10

LCM(190,2770) = 526300 / 10

LCM(190,2770) = 52630


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 7320/190, 9720/2770

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 7320/190, 9720/2770?

Answer: GCF of Numerators as per given numbers 7320/190, 9720/2770 is

GCF of Numerators i.e. for 7320,9720 is 120

LCM of denominators i.e. for 190,2770 is 52630.

Thus, GCF of Fractions is 120/52630.Finally, GCF of Fractions for 7320/190, 9720/2770 is 120/52630.