How to Find GCF of 4076/792, 3059/776?

GCF of 4076/792, 3059/776

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 4076/792, 3059/776 i.e 1/76824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4076/792, 3059/776.

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 4076/792,3059/776?

Given fractions are 4076/792,3059/776

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 4076/792,3059/776, numerators are 4076,3059

Denominators are 792,776

The GCF of 4076,3059 is 1 .

LCM of 792,776 is 76824.

The greatest common factor of 4076/792,3059/776 = [GCF of 4076,3059]/[LCM of 792,776]= 1/76824

Therefore, the GCF of 4076/792,3059/776 is 1/76824.

Greatest Common Factor of 4076,3059

To find the highest common factor of 4076,3059, we have to find the factors of both numbers and list the highest common factor.

The factors of 4076 are 1, 2, 4, 1019, 2038, 4076

The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059

The HCF of 4076,3059 is 1.

Lets's calculate GCF of 4076,3059

Greatest Common Factor (GCF) of 4076,3059 By Common Division

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

Greatest Common Factor of 4076,3059 By Matching Biggest Common Factor Method

Now, list down the factors of 4076

1,2,4,1019,2038,4076

Now, list down the factors of 3059

1,7,19,23,133,161,437,3059

Greatest Common Factor

We found the factors 4076,3059 . The biggest common factor number is the GCF number.
So the greatest common factor 4076,3059 is 1.

Lets's calculate LCM of 792,776

Lowest Common Multiple of 792,776 using Common Division

2	792, 776
2	396, 388
2	198, 194
	99, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 97 = 76824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76824

Therefore, the GCF of Fractions 4076/792,3059/776 is 1/76824

Least Common Multiple of 792,776 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 792,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,776) = 8

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

GCF(792,776) x common factors =8 x 1 = 8

LCM(792,776) = ( 792 × 776 ) / 8

LCM(792,776) = 614592 / 8

LCM(792,776) = 76824

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FAQs on GCF of Fractions of 4076/792, 3059/776

1. What is the HCF of 4076,3059?

The HCF of 4076,3059 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 4076/792, 3059/776?

Answer: GCF of Numerators as per given numbers 4076/792, 3059/776 is

GCF of Numerators i.e. for 4076,3059 is 1

LCM of denominators i.e. for 792,776 is 76824.

Thus, GCF of Fractions is 1/76824.Finally, GCF of Fractions for 4076/792, 3059/776 is 1/76824.