Greatest Common Factor of 1433/235, 1961/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1433/235, 1961/152

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 1433/235,1961/152

Given fractions are 1433/235,1961/152

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 1433,1961

Greatest Common Factor of Numerators i.e. GCF of 1433,1961 is 1 .

LCM of Denominators means LCM of 235,152 as per the given fractions.

LCM of 235,152 is 35720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1433,1961

GCF of Fractions 1433/235,1961/152 is 1/35720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1433,1961 By Matching Biggest Common Factor Method

Greatest Common Factor of 1433,1961 By Matching Biggest Common Factor Method

Factors of 1433

List of positive integer factors of 1433 that divides 1433 without a remainder.

1,1433

Factors of 1961

List of positive integer factors of 1961 that divides 1961 without a remainder.

1,37,53,1961

Greatest Common Factor

We found the factors 1433,1961 . The biggest common factor number is the GCF number.
So the greatest common factor 1433,1961 is 1.

Lets's calculate LCM of 235,152

Given numbers has no common factors except 1. So, there LCM is their product i.e 35720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35720

Therefore, the GCF of Fractions 1433/235,1961/152 is 1/35720

Least Common Multiple of 235,152 with GCF Formula

Least Common Multiple of 235,152 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 235,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,152) = 1

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

GCF(235,152) x common factors =1 x 1 = 1

LCM(235,152) = ( 235 × 152 ) / 1

LCM(235,152) = 35720 / 1

LCM(235,152) = 35720


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 1433/235, 1961/152

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 1433/235, 1961/152?

Answer: GCF of Numerators as per given numbers 1433/235, 1961/152 is

GCF of Numerators i.e. for 1433,1961 is 1

LCM of denominators i.e. for 235,152 is 35720.

Thus, GCF of Fractions is 1/35720.Finally, GCF of Fractions for 1433/235, 1961/152 is 1/35720.