Greatest Common Factor of 581/77, 546/3350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/77, 546/3350

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 581/77,546/3350

Given fractions are 581/77,546/3350

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 581,546

Greatest Common Factor of Numerators i.e. GCF of 581,546 is 7 .

LCM of Denominators means LCM of 77,3350 as per the given fractions.

LCM of 77,3350 is 257950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,546

GCF of Fractions 581/77,546/3350 is 7/257950

7 581, 546
83, 78

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 581,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,546 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 581,546 . The biggest common factor number is the GCF number.
So the greatest common factor 581,546 is 7.

Lets's calculate LCM of 77,3350

Given numbers has no common factors except 1. So, there LCM is their product i.e 257950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/257950

Therefore, the GCF of Fractions 581/77,546/3350 is 7/257950

Least Common Multiple of 77,3350 with GCF Formula

Least Common Multiple of 77,3350 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 77,3350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,3350) = 1

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

GCF(77,3350) x common factors =1 x 1 = 1

LCM(77,3350) = ( 77 × 3350 ) / 1

LCM(77,3350) = 257950 / 1

LCM(77,3350) = 257950


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 581/77, 546/3350

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 581/77, 546/3350?

Answer: GCF of Numerators as per given numbers 581/77, 546/3350 is

GCF of Numerators i.e. for 581,546 is 7

LCM of denominators i.e. for 77,3350 is 257950.

Thus, GCF of Fractions is 7/257950.Finally, GCF of Fractions for 581/77, 546/3350 is 7/257950.