Greatest Common Factor of 1674/977, 9056/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1674/977, 9056/794

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 1674/977,9056/794

Given fractions are 1674/977,9056/794

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 1674,9056

Greatest Common Factor of Numerators i.e. GCF of 1674,9056 is 2 .

LCM of Denominators means LCM of 977,794 as per the given fractions.

LCM of 977,794 is 775738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1674,9056

GCF of Fractions 1674/977,9056/794 is 2/775738

2 1674, 9056
837, 4528

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

Greatest Common Factor of 1674,9056 By Matching Biggest Common Factor Method

Greatest Common Factor of 1674,9056 By Matching Biggest Common Factor Method

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674

Factors of 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1,2,4,8,16,32,283,566,1132,2264,4528,9056

Greatest Common Factor

We found the factors 1674,9056 . The biggest common factor number is the GCF number.
So the greatest common factor 1674,9056 is 2.

Lets's calculate LCM of 977,794

Given numbers has no common factors except 1. So, there LCM is their product i.e 775738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/775738

Therefore, the GCF of Fractions 1674/977,9056/794 is 2/775738

Least Common Multiple of 977,794 with GCF Formula

Least Common Multiple of 977,794 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 977,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,794) = 1

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

GCF(977,794) x common factors =1 x 1 = 1

LCM(977,794) = ( 977 × 794 ) / 1

LCM(977,794) = 775738 / 1

LCM(977,794) = 775738


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 1674/977, 9056/794

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 1674/977, 9056/794?

Answer: GCF of Numerators as per given numbers 1674/977, 9056/794 is

GCF of Numerators i.e. for 1674,9056 is 2

LCM of denominators i.e. for 977,794 is 775738.

Thus, GCF of Fractions is 2/775738.Finally, GCF of Fractions for 1674/977, 9056/794 is 2/775738.