How to Find GCF of 6973/827, 7974/7184?

GCF of 6973/827, 7974/7184

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 6973/827, 7974/7184 i.e 1/5941168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6973/827, 7974/7184.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6973/827,7974/7184?

Given fractions are 6973/827,7974/7184

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 6973/827,7974/7184, numerators are 6973,7974

Denominators are 827,7184

The GCF of 6973,7974 is 1 .

LCM of 827,7184 is 5941168.

The greatest common factor of 6973/827,7974/7184 = [GCF of 6973,7974]/[LCM of 827,7184]= 1/5941168

Therefore, the GCF of 6973/827,7974/7184 is 1/5941168.

Greatest Common Factor of 6973,7974

To find the highest common factor of 6973,7974, we have to find the factors of both numbers and list the highest common factor.

The factors of 6973 are 1, 19, 367, 6973

The factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974

The HCF of 6973,7974 is 1.

Lets's calculate GCF of 6973,7974

Greatest Common Factor (GCF) of 6973,7974 By Common Division

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

Greatest Common Factor of 6973,7974 By Matching Biggest Common Factor Method

Now, list down the factors of 6973

1,19,367,6973

Now, list down the factors of 7974

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 6973,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 6973,7974 is 1.

Lets's calculate LCM of 827,7184

Lowest Common Multiple of 827,7184 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5941168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5941168

Therefore, the GCF of Fractions 6973/827,7974/7184 is 1/5941168

Least Common Multiple of 827,7184 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 827,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,7184) = 1

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

GCF(827,7184) x common factors =1 x 1 = 1

LCM(827,7184) = ( 827 × 7184 ) / 1

LCM(827,7184) = 5941168 / 1

LCM(827,7184) = 5941168

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6973/827, 7974/7184

1. What is the HCF of 6973,7974?

The HCF of 6973,7974 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 6973/827, 7974/7184?

Answer: GCF of Numerators as per given numbers 6973/827, 7974/7184 is

GCF of Numerators i.e. for 6973,7974 is 1

LCM of denominators i.e. for 827,7184 is 5941168.

Thus, GCF of Fractions is 1/5941168.Finally, GCF of Fractions for 6973/827, 7974/7184 is 1/5941168.