How to Find GCF of 896/25, 521/4032?

GCF of 896/25, 521/4032

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 896/25, 521/4032 i.e 1/100800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/25, 521/4032.

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 896/25,521/4032?

Given fractions are 896/25,521/4032

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 896/25,521/4032, numerators are 896,521

Denominators are 25,4032

The GCF of 896,521 is 1 .

LCM of 25,4032 is 100800.

The greatest common factor of 896/25,521/4032 = [GCF of 896,521]/[LCM of 25,4032]= 1/100800

Therefore, the GCF of 896/25,521/4032 is 1/100800.

Greatest Common Factor of 896,521

To find the highest common factor of 896,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

The factors of 521 are 1, 521

The HCF of 896,521 is 1.

Lets's calculate GCF of 896,521

Greatest Common Factor (GCF) of 896,521 By Common Division

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

Greatest Common Factor of 896,521 By Matching Biggest Common Factor Method

Now, list down the factors of 896

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 896,521 . The biggest common factor number is the GCF number.
So the greatest common factor 896,521 is 1.

Lets's calculate LCM of 25,4032

Lowest Common Multiple of 25,4032 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 100800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100800

Therefore, the GCF of Fractions 896/25,521/4032 is 1/100800

Least Common Multiple of 25,4032 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 25,4032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,4032) = 1

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

GCF(25,4032) x common factors =1 x 1 = 1

LCM(25,4032) = ( 25 × 4032 ) / 1

LCM(25,4032) = 100800 / 1

LCM(25,4032) = 100800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 896/25, 521/4032

1. What is the HCF of 896,521?

The HCF of 896,521 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 896/25, 521/4032?

Answer: GCF of Numerators as per given numbers 896/25, 521/4032 is

GCF of Numerators i.e. for 896,521 is 1

LCM of denominators i.e. for 25,4032 is 100800.

Thus, GCF of Fractions is 1/100800.Finally, GCF of Fractions for 896/25, 521/4032 is 1/100800.