How to Find GCF of 6273/798, 4907/7192?

GCF of 6273/798, 4907/7192

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 6273/798, 4907/7192 i.e 1/2869608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6273/798, 4907/7192.

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 6273/798,4907/7192?

Given fractions are 6273/798,4907/7192

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 6273/798,4907/7192, numerators are 6273,4907

Denominators are 798,7192

The GCF of 6273,4907 is 1 .

LCM of 798,7192 is 2869608.

The greatest common factor of 6273/798,4907/7192 = [GCF of 6273,4907]/[LCM of 798,7192]= 1/2869608

Therefore, the GCF of 6273/798,4907/7192 is 1/2869608.

Greatest Common Factor of 6273,4907

To find the highest common factor of 6273,4907, we have to find the factors of both numbers and list the highest common factor.

The factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273

The factors of 4907 are 1, 7, 701, 4907

The HCF of 6273,4907 is 1.

Lets's calculate GCF of 6273,4907

Greatest Common Factor (GCF) of 6273,4907 By Common Division

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

Greatest Common Factor of 6273,4907 By Matching Biggest Common Factor Method

Now, list down the factors of 6273

1,3,9,17,41,51,123,153,369,697,2091,6273

Now, list down the factors of 4907

1,7,701,4907

Greatest Common Factor

We found the factors 6273,4907 . The biggest common factor number is the GCF number.
So the greatest common factor 6273,4907 is 1.

Lets's calculate LCM of 798,7192

Lowest Common Multiple of 798,7192 using Common Division

2	798, 7192
	399, 3596

∴ So the LCM of the given numbers is 2 x 399 x 3596 = 2869608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2869608

Therefore, the GCF of Fractions 6273/798,4907/7192 is 1/2869608

Least Common Multiple of 798,7192 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 798,7192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,7192) = 2

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

GCF(798,7192) x common factors =2 x 1 = 2

LCM(798,7192) = ( 798 × 7192 ) / 2

LCM(798,7192) = 5739216 / 2

LCM(798,7192) = 2869608

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6273/798, 4907/7192

1. What is the HCF of 6273,4907?

The HCF of 6273,4907 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 6273/798, 4907/7192?

Answer: GCF of Numerators as per given numbers 6273/798, 4907/7192 is

GCF of Numerators i.e. for 6273,4907 is 1

LCM of denominators i.e. for 798,7192 is 2869608.

Thus, GCF of Fractions is 1/2869608.Finally, GCF of Fractions for 6273/798, 4907/7192 is 1/2869608.