Greatest Common Factor of 1485/35, 1656/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1485/35, 1656/603

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 1485/35,1656/603

Given fractions are 1485/35,1656/603

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 1485,1656

Greatest Common Factor of Numerators i.e. GCF of 1485,1656 is 9 .

LCM of Denominators means LCM of 35,603 as per the given fractions.

LCM of 35,603 is 21105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1485,1656

GCF of Fractions 1485/35,1656/603 is 9/21105

3 1485, 1656
3 495, 552
165, 184

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1485,1656 By Matching Biggest Common Factor Method

Greatest Common Factor of 1485,1656 By Matching Biggest Common Factor Method

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Greatest Common Factor

We found the factors 1485,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 1485,1656 is 9.

Lets's calculate LCM of 35,603

Given numbers has no common factors except 1. So, there LCM is their product i.e 21105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/21105

Therefore, the GCF of Fractions 1485/35,1656/603 is 9/21105

Least Common Multiple of 35,603 with GCF Formula

Least Common Multiple of 35,603 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 35,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,603) = 1

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

GCF(35,603) x common factors =1 x 1 = 1

LCM(35,603) = ( 35 × 603 ) / 1

LCM(35,603) = 21105 / 1

LCM(35,603) = 21105


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 1485/35, 1656/603

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 1485/35, 1656/603?

Answer: GCF of Numerators as per given numbers 1485/35, 1656/603 is

GCF of Numerators i.e. for 1485,1656 is 9

LCM of denominators i.e. for 35,603 is 21105.

Thus, GCF of Fractions is 9/21105.Finally, GCF of Fractions for 1485/35, 1656/603 is 9/21105.