Greatest Common Factor of 3765/146, 4620/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3765/146, 4620/153

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 3765/146,4620/153

Given fractions are 3765/146,4620/153

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 3765,4620

Greatest Common Factor of Numerators i.e. GCF of 3765,4620 is 15 .

LCM of Denominators means LCM of 146,153 as per the given fractions.

LCM of 146,153 is 22338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3765,4620

GCF of Fractions 3765/146,4620/153 is 15/22338

3 3765, 4620
5 1255, 1540
251, 308

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 3765,4620 By Matching Biggest Common Factor Method

Greatest Common Factor of 3765,4620 By Matching Biggest Common Factor Method

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

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 3765,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 3765,4620 is 15.

Lets's calculate LCM of 146,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 22338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/22338

Therefore, the GCF of Fractions 3765/146,4620/153 is 15/22338

Least Common Multiple of 146,153 with GCF Formula

Least Common Multiple of 146,153 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 146,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,153) = 1

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

GCF(146,153) x common factors =1 x 1 = 1

LCM(146,153) = ( 146 × 153 ) / 1

LCM(146,153) = 22338 / 1

LCM(146,153) = 22338


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 3765/146, 4620/153

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 3765/146, 4620/153?

Answer: GCF of Numerators as per given numbers 3765/146, 4620/153 is

GCF of Numerators i.e. for 3765,4620 is 15

LCM of denominators i.e. for 146,153 is 22338.

Thus, GCF of Fractions is 15/22338.Finally, GCF of Fractions for 3765/146, 4620/153 is 15/22338.