How to Find GCF of 6678/296, 1789/5107?

GCF of 6678/296, 1789/5107

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 6678/296, 1789/5107 i.e 1/1511672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6678/296, 1789/5107.

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 6678/296,1789/5107?

Given fractions are 6678/296,1789/5107

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 6678/296,1789/5107, numerators are 6678,1789

Denominators are 296,5107

The GCF of 6678,1789 is 1 .

LCM of 296,5107 is 1511672.

The greatest common factor of 6678/296,1789/5107 = [GCF of 6678,1789]/[LCM of 296,5107]= 1/1511672

Therefore, the GCF of 6678/296,1789/5107 is 1/1511672.

Greatest Common Factor of 6678,1789

To find the highest common factor of 6678,1789, we have to find the factors of both numbers and list the highest common factor.

The factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678

The factors of 1789 are 1, 1789

The HCF of 6678,1789 is 1.

Lets's calculate GCF of 6678,1789

Greatest Common Factor (GCF) of 6678,1789 By Common Division

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

Greatest Common Factor of 6678,1789 By Matching Biggest Common Factor Method

Now, list down the factors of 6678

1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678

Now, list down the factors of 1789

1,1789

Greatest Common Factor

We found the factors 6678,1789 . The biggest common factor number is the GCF number.
So the greatest common factor 6678,1789 is 1.

Lets's calculate LCM of 296,5107

Lowest Common Multiple of 296,5107 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1511672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511672

Therefore, the GCF of Fractions 6678/296,1789/5107 is 1/1511672

Least Common Multiple of 296,5107 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 296,5107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,5107) = 1

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

GCF(296,5107) x common factors =1 x 1 = 1

LCM(296,5107) = ( 296 × 5107 ) / 1

LCM(296,5107) = 1511672 / 1

LCM(296,5107) = 1511672

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FAQs on GCF of Fractions of 6678/296, 1789/5107

1. What is the HCF of 6678,1789?

The HCF of 6678,1789 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 6678/296, 1789/5107?

Answer: GCF of Numerators as per given numbers 6678/296, 1789/5107 is

GCF of Numerators i.e. for 6678,1789 is 1

LCM of denominators i.e. for 296,5107 is 1511672.

Thus, GCF of Fractions is 1/1511672.Finally, GCF of Fractions for 6678/296, 1789/5107 is 1/1511672.