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 828/73, 100/923

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 828/73, 100/923 i.e 4/67379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/73, 100/923.

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 828/73,100/923?

Given fractions are 828/73,100/923

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 828/73,100/923, numerators are 828,100

Denominators are 73,923

The GCF of 828,100 is 4 .

LCM of 73,923 is 67379.

The greatest common factor of 828/73,100/923 = [GCF of 828,100]/[LCM of 73,923]= 4/67379

Therefore, the GCF of 828/73,100/923 is 4/67379.

Greatest Common Factor of 828,100

To find the highest common factor of 828,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 828,100 is 4.

Lets's calculate GCF of 828,100

Greatest Common Factor (GCF) of 828,100 By Common Division

2 828, 100
2 414, 50
207, 25

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

Greatest Common Factor of 828,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,100 By Matching Biggest Common Factor Method

Now, list down the factors of 828

:

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 828,100 . The biggest common factor number is the GCF number.
So the greatest common factor 828,100 is 4.

Lets's calculate LCM of 73,923

Lowest Common Multiple of 73,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67379

Therefore, the GCF of Fractions 828/73,100/923 is 4/67379

Least Common Multiple of 73,923 with GCF Formula

Least Common Multiple of 73,923 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 73,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,923) = 1

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

GCF(73,923) x common factors =1 x 1 = 1

LCM(73,923) = ( 73 × 923 ) / 1

LCM(73,923) = 67379 / 1

LCM(73,923) = 67379


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 828/73, 100/923

1. What is the HCF of 828,100?

The HCF of 828,100 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 828/73, 100/923?

Answer: GCF of Numerators as per given numbers 828/73, 100/923 is

GCF of Numerators i.e. for 828,100 is 4

LCM of denominators i.e. for 73,923 is 67379.

Thus, GCF of Fractions is 4/67379.Finally, GCF of Fractions for 828/73, 100/923 is 4/67379.