How to Find GCF of 6076/663, 4082/559?

GCF of 6076/663, 4082/559

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 6076/663, 4082/559 i.e 2/28509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6076/663, 4082/559.

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 6076/663,4082/559?

Given fractions are 6076/663,4082/559

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 6076/663,4082/559, numerators are 6076,4082

Denominators are 663,559

The GCF of 6076,4082 is 2 .

LCM of 663,559 is 28509.

The greatest common factor of 6076/663,4082/559 = [GCF of 6076,4082]/[LCM of 663,559]= 2/28509

Therefore, the GCF of 6076/663,4082/559 is 2/28509.

Greatest Common Factor of 6076,4082

To find the highest common factor of 6076,4082, we have to find the factors of both numbers and list the highest common factor.

The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082

The HCF of 6076,4082 is 2.

Lets's calculate GCF of 6076,4082

Greatest Common Factor (GCF) of 6076,4082 By Common Division

2	6076, 4082
	3038, 2041

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

Greatest Common Factor of 6076,4082 By Matching Biggest Common Factor Method

Now, list down the factors of 6076

1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076

Now, list down the factors of 4082

1,2,13,26,157,314,2041,4082

Greatest Common Factor

We found the factors 6076,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,4082 is 2.

Lets's calculate LCM of 663,559

Lowest Common Multiple of 663,559 using Common Division

13	663, 559
	51, 43

∴ So the LCM of the given numbers is 13 x 51 x 43 = 28509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28509

Therefore, the GCF of Fractions 6076/663,4082/559 is 2/28509

Least Common Multiple of 663,559 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 663,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,559) = 13

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

GCF(663,559) x common factors =13 x 1 = 13

LCM(663,559) = ( 663 × 559 ) / 13

LCM(663,559) = 370617 / 13

LCM(663,559) = 28509

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FAQs on GCF of Fractions of 6076/663, 4082/559

1. What is the HCF of 6076,4082?

The HCF of 6076,4082 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 6076/663, 4082/559?

Answer: GCF of Numerators as per given numbers 6076/663, 4082/559 is

GCF of Numerators i.e. for 6076,4082 is 2

LCM of denominators i.e. for 663,559 is 28509.

Thus, GCF of Fractions is 2/28509.Finally, GCF of Fractions for 6076/663, 4082/559 is 2/28509.