Greatest Common Factor of 1774/762, 5266/9496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1774/762, 5266/9496

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1774/762,5266/9496

Given fractions are 1774/762,5266/9496

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1774,5266

Greatest Common Factor of Numerators i.e. GCF of 1774,5266 is 2 .

LCM of Denominators means LCM of 762,9496 as per the given fractions.

LCM of 762,9496 is 3617976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1774,5266

GCF of Fractions 1774/762,5266/9496 is 2/3617976

2 1774, 5266
887, 2633

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

Greatest Common Factor of 1774,5266 By Matching Biggest Common Factor Method

Greatest Common Factor of 1774,5266 By Matching Biggest Common Factor Method

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1,2,887,1774

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1,2,2633,5266

Greatest Common Factor

We found the factors 1774,5266 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,5266 is 2.

Lets's calculate LCM of 762,9496

2 762, 9496
381, 4748

∴ So the LCM of the given numbers is 2 x 381 x 4748 = 3617976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3617976

Therefore, the GCF of Fractions 1774/762,5266/9496 is 2/3617976

Least Common Multiple of 762,9496 with GCF Formula

Least Common Multiple of 762,9496 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 762,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,9496) = 2

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

GCF(762,9496) x common factors =2 x 1 = 2

LCM(762,9496) = ( 762 × 9496 ) / 2

LCM(762,9496) = 7235952 / 2

LCM(762,9496) = 3617976


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1774/762, 5266/9496

1. 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.

2. What is the GCF of Fractions for 1774/762, 5266/9496?

Answer: GCF of Numerators as per given numbers 1774/762, 5266/9496 is

GCF of Numerators i.e. for 1774,5266 is 2

LCM of denominators i.e. for 762,9496 is 3617976.

Thus, GCF of Fractions is 2/3617976.Finally, GCF of Fractions for 1774/762, 5266/9496 is 2/3617976.