Greatest Common Factor of 4620/505, 7788/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4620/505, 7788/277

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 4620/505,7788/277

Given fractions are 4620/505,7788/277

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 4620,7788

Greatest Common Factor of Numerators i.e. GCF of 4620,7788 is 132 .

LCM of Denominators means LCM of 505,277 as per the given fractions.

LCM of 505,277 is 139885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4620,7788

GCF of Fractions 4620/505,7788/277 is 132/139885

2 4620, 7788
2 2310, 3894
3 1155, 1947
11 385, 649
35, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Greatest Common Factor of 4620,7788 By Matching Biggest Common Factor Method

Greatest Common Factor of 4620,7788 By Matching Biggest Common Factor Method

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

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Greatest Common Factor

We found the factors 4620,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 4620,7788 is 132.

Lets's calculate LCM of 505,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 139885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/139885

Therefore, the GCF of Fractions 4620/505,7788/277 is 132/139885

Least Common Multiple of 505,277 with GCF Formula

Least Common Multiple of 505,277 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 505,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,277) = 1

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

GCF(505,277) x common factors =1 x 1 = 1

LCM(505,277) = ( 505 × 277 ) / 1

LCM(505,277) = 139885 / 1

LCM(505,277) = 139885


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 4620/505, 7788/277

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 4620/505, 7788/277?

Answer: GCF of Numerators as per given numbers 4620/505, 7788/277 is

GCF of Numerators i.e. for 4620,7788 is 132

LCM of denominators i.e. for 505,277 is 139885.

Thus, GCF of Fractions is 132/139885.Finally, GCF of Fractions for 4620/505, 7788/277 is 132/139885.