Greatest Common Factor of 47/64, 274/77, 448/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/64, 274/77, 448/681

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 47/64,274/77,448/681

Given fractions are 47/64,274/77,448/681

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 47,274,448

Greatest Common Factor of Numerators i.e. GCF of 47,274,448 is 1 .

LCM of Denominators means LCM of 64,77,681 as per the given fractions.

LCM of 64,77,681 is 3355968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,274,448

GCF of Fractions 47/64,274/77,448/681 is 1/3355968

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

Greatest Common Factor of 47,274,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,274,448 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 47,274,448 . The biggest common factor number is the GCF number.
So the greatest common factor 47,274,448 is 1.

Lets's calculate LCM of 64,77,681

Given numbers has no common factors except 1. So, there LCM is their product i.e 3355968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3355968

Therefore, the GCF of Fractions 47/64,274/77,448/681 is 1/3355968

Least Common Multiple of 64,77,681 with GCF Formula

Least Common Multiple of 64,77,681 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 64,77,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,77,681) = 1

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

GCF(64,77,681) x common factors =1 x 1 = 1

LCM(64,77,681) = ( 64 × 77 × 681 ) / 1

LCM(64,77,681) = 3355968 / 1

LCM(64,77,681) = 3355968


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 47/64, 274/77, 448/681

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 47/64, 274/77, 448/681?

Answer: GCF of Numerators as per given numbers 47/64, 274/77, 448/681 is

GCF of Numerators i.e. for 47,274,448 is 1

LCM of denominators i.e. for 64,77,681 is 3355968.

Thus, GCF of Fractions is 1/3355968.Finally, GCF of Fractions for 47/64, 274/77, 448/681 is 1/3355968.