Greatest Common Factor of 1752/44, 8029/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1752/44, 8029/735

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 1752/44,8029/735

Given fractions are 1752/44,8029/735

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 1752,8029

Greatest Common Factor of Numerators i.e. GCF of 1752,8029 is 1 .

LCM of Denominators means LCM of 44,735 as per the given fractions.

LCM of 44,735 is 32340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1752,8029

GCF of Fractions 1752/44,8029/735 is 1/32340

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

Greatest Common Factor of 1752,8029 By Matching Biggest Common Factor Method

Greatest Common Factor of 1752,8029 By Matching Biggest Common Factor Method

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Factors of 8029

List of positive integer factors of 8029 that divides 8029 without a remainder.

1,7,31,37,217,259,1147,8029

Greatest Common Factor

We found the factors 1752,8029 . The biggest common factor number is the GCF number.
So the greatest common factor 1752,8029 is 1.

Lets's calculate LCM of 44,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 32340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32340

Therefore, the GCF of Fractions 1752/44,8029/735 is 1/32340

Least Common Multiple of 44,735 with GCF Formula

Least Common Multiple of 44,735 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 44,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,735) = 1

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

GCF(44,735) x common factors =1 x 1 = 1

LCM(44,735) = ( 44 × 735 ) / 1

LCM(44,735) = 32340 / 1

LCM(44,735) = 32340


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 1752/44, 8029/735

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 1752/44, 8029/735?

Answer: GCF of Numerators as per given numbers 1752/44, 8029/735 is

GCF of Numerators i.e. for 1752,8029 is 1

LCM of denominators i.e. for 44,735 is 32340.

Thus, GCF of Fractions is 1/32340.Finally, GCF of Fractions for 1752/44, 8029/735 is 1/32340.