LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 747/172, 8843/862

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 747/172, 8843/862 i.e 1/74132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/172, 8843/862.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 747/172,8843/862?

Given fractions are 747/172,8843/862

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 747/172,8843/862, numerators are 747,8843

Denominators are 172,862

The GCF of 747,8843 is 1 .

LCM of 172,862 is 74132.

The greatest common factor of 747/172,8843/862 = [GCF of 747,8843]/[LCM of 172,862]= 1/74132

Therefore, the GCF of 747/172,8843/862 is 1/74132.

Greatest Common Factor of 747,8843

To find the highest common factor of 747,8843, we have to find the factors of both numbers and list the highest common factor.

The factors of 747 are 1, 3, 9, 83, 249, 747

The factors of 8843 are 1, 37, 239, 8843

The HCF of 747,8843 is 1.

Lets's calculate GCF of 747,8843

Greatest Common Factor (GCF) of 747,8843 By Common Division

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

Greatest Common Factor of 747,8843 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,8843 By Matching Biggest Common Factor Method

Now, list down the factors of 747

:

1,3,9,83,249,747

Now, list down the factors of 8843

:

1,37,239,8843

Greatest Common Factor

We found the factors 747,8843 . The biggest common factor number is the GCF number.
So the greatest common factor 747,8843 is 1.

Lets's calculate LCM of 172,862

Lowest Common Multiple of 172,862 using Common Division

2 172, 862
86, 431

∴ So the LCM of the given numbers is 2 x 86 x 431 = 74132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74132

Therefore, the GCF of Fractions 747/172,8843/862 is 1/74132

Least Common Multiple of 172,862 with GCF Formula

Least Common Multiple of 172,862 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 172,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,862) = 2

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

GCF(172,862) x common factors =2 x 1 = 2

LCM(172,862) = ( 172 × 862 ) / 2

LCM(172,862) = 148264 / 2

LCM(172,862) = 74132


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 747/172, 8843/862

1. What is the HCF of 747,8843?

The HCF of 747,8843 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 747/172, 8843/862?

Answer: GCF of Numerators as per given numbers 747/172, 8843/862 is

GCF of Numerators i.e. for 747,8843 is 1

LCM of denominators i.e. for 172,862 is 74132.

Thus, GCF of Fractions is 1/74132.Finally, GCF of Fractions for 747/172, 8843/862 is 1/74132.