How to Find GCF of 404/768, 610/776?

GCF of 404/768, 610/776

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 404/768, 610/776 i.e 2/74496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/768, 610/776.

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 404/768,610/776?

Given fractions are 404/768,610/776

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 404/768,610/776, numerators are 404,610

Denominators are 768,776

The GCF of 404,610 is 2 .

LCM of 768,776 is 74496.

The greatest common factor of 404/768,610/776 = [GCF of 404,610]/[LCM of 768,776]= 2/74496

Therefore, the GCF of 404/768,610/776 is 2/74496.

Greatest Common Factor of 404,610

To find the highest common factor of 404,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 404,610 is 2.

Lets's calculate GCF of 404,610

Greatest Common Factor (GCF) of 404,610 By Common Division

2	404, 610
	202, 305

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

Greatest Common Factor of 404,610 By Matching Biggest Common Factor Method

Now, list down the factors of 404

1,2,4,101,202,404

Now, list down the factors of 610

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 404,610 . The biggest common factor number is the GCF number.
So the greatest common factor 404,610 is 2.

Lets's calculate LCM of 768,776

Lowest Common Multiple of 768,776 using Common Division

2	768, 776
2	384, 388
2	192, 194
	96, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 96 x 97 = 74496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74496

Therefore, the GCF of Fractions 404/768,610/776 is 2/74496

Least Common Multiple of 768,776 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 768,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,776) = 8

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

GCF(768,776) x common factors =8 x 1 = 8

LCM(768,776) = ( 768 × 776 ) / 8

LCM(768,776) = 595968 / 8

LCM(768,776) = 74496

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 404/768, 610/776

1. What is the HCF of 404,610?

The HCF of 404,610 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 404/768, 610/776?

Answer: GCF of Numerators as per given numbers 404/768, 610/776 is

GCF of Numerators i.e. for 404,610 is 2

LCM of denominators i.e. for 768,776 is 74496.

Thus, GCF of Fractions is 2/74496.Finally, GCF of Fractions for 404/768, 610/776 is 2/74496.