Greatest Common Factor of 46/681, 55/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/681, 55/562

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 46/681,55/562

Given fractions are 46/681,55/562

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 46,55

Greatest Common Factor of Numerators i.e. GCF of 46,55 is 1 .

LCM of Denominators means LCM of 681,562 as per the given fractions.

LCM of 681,562 is 382722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,55

GCF of Fractions 46/681,55/562 is 1/382722

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

Greatest Common Factor of 46,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,55 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 46,55 . The biggest common factor number is the GCF number.
So the greatest common factor 46,55 is 1.

Lets's calculate LCM of 681,562

Given numbers has no common factors except 1. So, there LCM is their product i.e 382722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382722

Therefore, the GCF of Fractions 46/681,55/562 is 1/382722

Least Common Multiple of 681,562 with GCF Formula

Least Common Multiple of 681,562 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 681,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,562) = 1

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

GCF(681,562) x common factors =1 x 1 = 1

LCM(681,562) = ( 681 × 562 ) / 1

LCM(681,562) = 382722 / 1

LCM(681,562) = 382722


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 46/681, 55/562

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 46/681, 55/562?

Answer: GCF of Numerators as per given numbers 46/681, 55/562 is

GCF of Numerators i.e. for 46,55 is 1

LCM of denominators i.e. for 681,562 is 382722.

Thus, GCF of Fractions is 1/382722.Finally, GCF of Fractions for 46/681, 55/562 is 1/382722.