How to Find GCF of 7982/276, 4790/6860?

GCF of 7982/276, 4790/6860

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 7982/276, 4790/6860 i.e 2/473340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7982/276, 4790/6860.

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 7982/276,4790/6860?

Given fractions are 7982/276,4790/6860

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 7982/276,4790/6860, numerators are 7982,4790

Denominators are 276,6860

The GCF of 7982,4790 is 2 .

LCM of 276,6860 is 473340.

The greatest common factor of 7982/276,4790/6860 = [GCF of 7982,4790]/[LCM of 276,6860]= 2/473340

Therefore, the GCF of 7982/276,4790/6860 is 2/473340.

Greatest Common Factor of 7982,4790

To find the highest common factor of 7982,4790, we have to find the factors of both numbers and list the highest common factor.

The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982

The factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790

The HCF of 7982,4790 is 2.

Lets's calculate GCF of 7982,4790

Greatest Common Factor (GCF) of 7982,4790 By Common Division

2	7982, 4790
	3991, 2395

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7982,4790 By Matching Biggest Common Factor Method

Now, list down the factors of 7982

1,2,13,26,307,614,3991,7982

Now, list down the factors of 4790

1,2,5,10,479,958,2395,4790

Greatest Common Factor

We found the factors 7982,4790 . The biggest common factor number is the GCF number.
So the greatest common factor 7982,4790 is 2.

Lets's calculate LCM of 276,6860

Lowest Common Multiple of 276,6860 using Common Division

2	276, 6860
2	138, 3430
	69, 1715

∴ So the LCM of the given numbers is 2 x 2 x 69 x 1715 = 473340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473340

Therefore, the GCF of Fractions 7982/276,4790/6860 is 2/473340

Least Common Multiple of 276,6860 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 276,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,6860) = 4

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

GCF(276,6860) x common factors =4 x 1 = 4

LCM(276,6860) = ( 276 × 6860 ) / 4

LCM(276,6860) = 1893360 / 4

LCM(276,6860) = 473340

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7982/276, 4790/6860

1. What is the HCF of 7982,4790?

The HCF of 7982,4790 is 2

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 7982/276, 4790/6860?

Answer: GCF of Numerators as per given numbers 7982/276, 4790/6860 is

GCF of Numerators i.e. for 7982,4790 is 2

LCM of denominators i.e. for 276,6860 is 473340.

Thus, GCF of Fractions is 2/473340.Finally, GCF of Fractions for 7982/276, 4790/6860 is 2/473340.