How to Find GCF of 372/678, 6677/808?

GCF of 372/678, 6677/808

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 372/678, 6677/808 i.e 1/273912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/678, 6677/808.

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 372/678,6677/808?

Given fractions are 372/678,6677/808

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 372/678,6677/808, numerators are 372,6677

Denominators are 678,808

The GCF of 372,6677 is 1 .

LCM of 678,808 is 273912.

The greatest common factor of 372/678,6677/808 = [GCF of 372,6677]/[LCM of 678,808]= 1/273912

Therefore, the GCF of 372/678,6677/808 is 1/273912.

Greatest Common Factor of 372,6677

To find the highest common factor of 372,6677, we have to find the factors of both numbers and list the highest common factor.

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The factors of 6677 are 1, 11, 607, 6677

The HCF of 372,6677 is 1.

Lets's calculate GCF of 372,6677

Greatest Common Factor (GCF) of 372,6677 By Common Division

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

Greatest Common Factor of 372,6677 By Matching Biggest Common Factor Method

Now, list down the factors of 372

1,2,3,4,6,12,31,62,93,124,186,372

Now, list down the factors of 6677

1,11,607,6677

Greatest Common Factor

We found the factors 372,6677 . The biggest common factor number is the GCF number.
So the greatest common factor 372,6677 is 1.

Lets's calculate LCM of 678,808

Lowest Common Multiple of 678,808 using Common Division

2	678, 808
	339, 404

∴ So the LCM of the given numbers is 2 x 339 x 404 = 273912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273912

Therefore, the GCF of Fractions 372/678,6677/808 is 1/273912

Least Common Multiple of 678,808 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 678,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,808) = 2

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

GCF(678,808) x common factors =2 x 1 = 2

LCM(678,808) = ( 678 × 808 ) / 2

LCM(678,808) = 547824 / 2

LCM(678,808) = 273912

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 372/678, 6677/808

1. What is the HCF of 372,6677?

The HCF of 372,6677 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 372/678, 6677/808?

Answer: GCF of Numerators as per given numbers 372/678, 6677/808 is

GCF of Numerators i.e. for 372,6677 is 1

LCM of denominators i.e. for 678,808 is 273912.

Thus, GCF of Fractions is 1/273912.Finally, GCF of Fractions for 372/678, 6677/808 is 1/273912.