How to Find GCF of 6279/946, 8049/978?

GCF of 6279/946, 8049/978

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 6279/946, 8049/978 i.e 3/462594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6279/946, 8049/978.

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 6279/946,8049/978?

Given fractions are 6279/946,8049/978

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 6279/946,8049/978, numerators are 6279,8049

Denominators are 946,978

The GCF of 6279,8049 is 3 .

LCM of 946,978 is 462594.

The greatest common factor of 6279/946,8049/978 = [GCF of 6279,8049]/[LCM of 946,978]= 3/462594

Therefore, the GCF of 6279/946,8049/978 is 3/462594.

Greatest Common Factor of 6279,8049

To find the highest common factor of 6279,8049, we have to find the factors of both numbers and list the highest common factor.

The factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279

The factors of 8049 are 1, 3, 2683, 8049

The HCF of 6279,8049 is 3.

Lets's calculate GCF of 6279,8049

Greatest Common Factor (GCF) of 6279,8049 By Common Division

3	6279, 8049
	2093, 2683

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6279,8049 By Matching Biggest Common Factor Method

Now, list down the factors of 6279

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Now, list down the factors of 8049

1,3,2683,8049

Greatest Common Factor

We found the factors 6279,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 6279,8049 is 3.

Lets's calculate LCM of 946,978

Lowest Common Multiple of 946,978 using Common Division

2	946, 978
	473, 489

∴ So the LCM of the given numbers is 2 x 473 x 489 = 462594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/462594

Therefore, the GCF of Fractions 6279/946,8049/978 is 3/462594

Least Common Multiple of 946,978 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 946,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,978) = 2

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

GCF(946,978) x common factors =2 x 1 = 2

LCM(946,978) = ( 946 × 978 ) / 2

LCM(946,978) = 925188 / 2

LCM(946,978) = 462594

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6279/946, 8049/978

1. What is the HCF of 6279,8049?

The HCF of 6279,8049 is 3

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 6279/946, 8049/978?

Answer: GCF of Numerators as per given numbers 6279/946, 8049/978 is

GCF of Numerators i.e. for 6279,8049 is 3

LCM of denominators i.e. for 946,978 is 462594.

Thus, GCF of Fractions is 3/462594.Finally, GCF of Fractions for 6279/946, 8049/978 is 3/462594.