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GCF of 215/25, 385/3456

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 215/25, 385/3456 i.e 5/86400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/25, 385/3456.

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 215/25,385/3456?

Given fractions are 215/25,385/3456

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 215/25,385/3456, numerators are 215,385

Denominators are 25,3456

The GCF of 215,385 is 5 .

LCM of 25,3456 is 86400.

The greatest common factor of 215/25,385/3456 = [GCF of 215,385]/[LCM of 25,3456]= 5/86400

Therefore, the GCF of 215/25,385/3456 is 5/86400.

Greatest Common Factor of 215,385

To find the highest common factor of 215,385, we have to find the factors of both numbers and list the highest common factor.

The factors of 215 are 1, 5, 43, 215

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The HCF of 215,385 is 5.

Lets's calculate GCF of 215,385

Greatest Common Factor (GCF) of 215,385 By Common Division

5 215, 385
43, 77

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 215,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,385 By Matching Biggest Common Factor Method

Now, list down the factors of 215

:

1,5,43,215

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 215,385 . The biggest common factor number is the GCF number.
So the greatest common factor 215,385 is 5.

Lets's calculate LCM of 25,3456

Lowest Common Multiple of 25,3456 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/86400

Therefore, the GCF of Fractions 215/25,385/3456 is 5/86400

Least Common Multiple of 25,3456 with GCF Formula

Least Common Multiple of 25,3456 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 25,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,3456) = 1

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

GCF(25,3456) x common factors =1 x 1 = 1

LCM(25,3456) = ( 25 × 3456 ) / 1

LCM(25,3456) = 86400 / 1

LCM(25,3456) = 86400


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FAQs on GCF of Fractions of 215/25, 385/3456

1. What is the HCF of 215,385?

The HCF of 215,385 is 5

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 215/25, 385/3456?

Answer: GCF of Numerators as per given numbers 215/25, 385/3456 is

GCF of Numerators i.e. for 215,385 is 5

LCM of denominators i.e. for 25,3456 is 86400.

Thus, GCF of Fractions is 5/86400.Finally, GCF of Fractions for 215/25, 385/3456 is 5/86400.