How to Find GCF of 6939/300, 6476/1768?

GCF of 6939/300, 6476/1768

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 6939/300, 6476/1768 i.e 1/132600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6939/300, 6476/1768.

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 6939/300,6476/1768?

Given fractions are 6939/300,6476/1768

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 6939/300,6476/1768, numerators are 6939,6476

Denominators are 300,1768

The GCF of 6939,6476 is 1 .

LCM of 300,1768 is 132600.

The greatest common factor of 6939/300,6476/1768 = [GCF of 6939,6476]/[LCM of 300,1768]= 1/132600

Therefore, the GCF of 6939/300,6476/1768 is 1/132600.

Greatest Common Factor of 6939,6476

To find the highest common factor of 6939,6476, we have to find the factors of both numbers and list the highest common factor.

The factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939

The factors of 6476 are 1, 2, 4, 1619, 3238, 6476

The HCF of 6939,6476 is 1.

Lets's calculate GCF of 6939,6476

Greatest Common Factor (GCF) of 6939,6476 By Common Division

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

Greatest Common Factor of 6939,6476 By Matching Biggest Common Factor Method

Now, list down the factors of 6939

1,3,9,27,257,771,2313,6939

Now, list down the factors of 6476

1,2,4,1619,3238,6476

Greatest Common Factor

We found the factors 6939,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 6939,6476 is 1.

Lets's calculate LCM of 300,1768

Lowest Common Multiple of 300,1768 using Common Division

2	300, 1768
2	150, 884
	75, 442

∴ So the LCM of the given numbers is 2 x 2 x 75 x 442 = 132600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132600

Therefore, the GCF of Fractions 6939/300,6476/1768 is 1/132600

Least Common Multiple of 300,1768 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 300,1768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,1768) = 4

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

GCF(300,1768) x common factors =4 x 1 = 4

LCM(300,1768) = ( 300 × 1768 ) / 4

LCM(300,1768) = 530400 / 4

LCM(300,1768) = 132600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6939/300, 6476/1768

1. What is the HCF of 6939,6476?

The HCF of 6939,6476 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 6939/300, 6476/1768?

Answer: GCF of Numerators as per given numbers 6939/300, 6476/1768 is

GCF of Numerators i.e. for 6939,6476 is 1

LCM of denominators i.e. for 300,1768 is 132600.

Thus, GCF of Fractions is 1/132600.Finally, GCF of Fractions for 6939/300, 6476/1768 is 1/132600.