How to Find GCF of 385/25, 678/3652?

GCF of 385/25, 678/3652

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 385/25, 678/3652 i.e 1/91300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/25, 678/3652.

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 385/25,678/3652?

Given fractions are 385/25,678/3652

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 385/25,678/3652, numerators are 385,678

Denominators are 25,3652

The GCF of 385,678 is 1 .

LCM of 25,3652 is 91300.

The greatest common factor of 385/25,678/3652 = [GCF of 385,678]/[LCM of 25,3652]= 1/91300

Therefore, the GCF of 385/25,678/3652 is 1/91300.

Greatest Common Factor of 385,678

To find the highest common factor of 385,678, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The HCF of 385,678 is 1.

Lets's calculate GCF of 385,678

Greatest Common Factor (GCF) of 385,678 By Common Division

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

Greatest Common Factor of 385,678 By Matching Biggest Common Factor Method

Now, list down the factors of 385

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

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 385,678 . The biggest common factor number is the GCF number.
So the greatest common factor 385,678 is 1.

Lets's calculate LCM of 25,3652

Lowest Common Multiple of 25,3652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91300

Therefore, the GCF of Fractions 385/25,678/3652 is 1/91300

Least Common Multiple of 25,3652 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 25,3652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,3652) = 1

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

GCF(25,3652) x common factors =1 x 1 = 1

LCM(25,3652) = ( 25 × 3652 ) / 1

LCM(25,3652) = 91300 / 1

LCM(25,3652) = 91300

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FAQs on GCF of Fractions of 385/25, 678/3652

1. What is the HCF of 385,678?

The HCF of 385,678 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 385/25, 678/3652?

Answer: GCF of Numerators as per given numbers 385/25, 678/3652 is

GCF of Numerators i.e. for 385,678 is 1

LCM of denominators i.e. for 25,3652 is 91300.

Thus, GCF of Fractions is 1/91300.Finally, GCF of Fractions for 385/25, 678/3652 is 1/91300.