Greatest Common Factor of 9920/769, 4620/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9920/769, 4620/745

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 9920/769,4620/745

Given fractions are 9920/769,4620/745

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 9920,4620

Greatest Common Factor of Numerators i.e. GCF of 9920,4620 is 20 .

LCM of Denominators means LCM of 769,745 as per the given fractions.

LCM of 769,745 is 572905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9920,4620

GCF of Fractions 9920/769,4620/745 is 20/572905

2 9920, 4620
2 4960, 2310
5 2480, 1155
496, 231

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 9920,4620 By Matching Biggest Common Factor Method

Greatest Common Factor of 9920,4620 By Matching Biggest Common Factor Method

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620

Greatest Common Factor

We found the factors 9920,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,4620 is 20.

Lets's calculate LCM of 769,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 572905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/572905

Therefore, the GCF of Fractions 9920/769,4620/745 is 20/572905

Least Common Multiple of 769,745 with GCF Formula

Least Common Multiple of 769,745 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 769,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,745) = 1

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

GCF(769,745) x common factors =1 x 1 = 1

LCM(769,745) = ( 769 × 745 ) / 1

LCM(769,745) = 572905 / 1

LCM(769,745) = 572905


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 9920/769, 4620/745

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 9920/769, 4620/745?

Answer: GCF of Numerators as per given numbers 9920/769, 4620/745 is

GCF of Numerators i.e. for 9920,4620 is 20

LCM of denominators i.e. for 769,745 is 572905.

Thus, GCF of Fractions is 20/572905.Finally, GCF of Fractions for 9920/769, 4620/745 is 20/572905.