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 800/205, 172/930

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 800/205, 172/930 i.e 4/38130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 800/205, 172/930.

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 800/205,172/930?

Given fractions are 800/205,172/930

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 800/205,172/930, numerators are 800,172

Denominators are 205,930

The GCF of 800,172 is 4 .

LCM of 205,930 is 38130.

The greatest common factor of 800/205,172/930 = [GCF of 800,172]/[LCM of 205,930]= 4/38130

Therefore, the GCF of 800/205,172/930 is 4/38130.

Greatest Common Factor of 800,172

To find the highest common factor of 800,172, we have to find the factors of both numbers and list the highest common factor.

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

The factors of 172 are 1, 2, 4, 43, 86, 172

The HCF of 800,172 is 4.

Lets's calculate GCF of 800,172

Greatest Common Factor (GCF) of 800,172 By Common Division

2 800, 172
2 400, 86
200, 43

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 800,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,172 By Matching Biggest Common Factor Method

Now, list down the factors of 800

:

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Now, list down the factors of 172

:

1,2,4,43,86,172

Greatest Common Factor

We found the factors 800,172 . The biggest common factor number is the GCF number.
So the greatest common factor 800,172 is 4.

Lets's calculate LCM of 205,930

Lowest Common Multiple of 205,930 using Common Division

5 205, 930
41, 186

∴ So the LCM of the given numbers is 5 x 41 x 186 = 38130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38130

Therefore, the GCF of Fractions 800/205,172/930 is 4/38130

Least Common Multiple of 205,930 with GCF Formula

Least Common Multiple of 205,930 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 205,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,930) = 5

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

GCF(205,930) x common factors =5 x 1 = 5

LCM(205,930) = ( 205 × 930 ) / 5

LCM(205,930) = 190650 / 5

LCM(205,930) = 38130


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 800/205, 172/930

1. What is the HCF of 800,172?

The HCF of 800,172 is 4

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 800/205, 172/930?

Answer: GCF of Numerators as per given numbers 800/205, 172/930 is

GCF of Numerators i.e. for 800,172 is 4

LCM of denominators i.e. for 205,930 is 38130.

Thus, GCF of Fractions is 4/38130.Finally, GCF of Fractions for 800/205, 172/930 is 4/38130.