Greatest Common Factor of 34/232, 571/949, 549/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/232, 571/949, 549/627

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 34/232,571/949,549/627

Given fractions are 34/232,571/949,549/627

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 34,571,549

Greatest Common Factor of Numerators i.e. GCF of 34,571,549 is 1 .

LCM of Denominators means LCM of 232,949,627 as per the given fractions.

LCM of 232,949,627 is 138045336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,571,549

GCF of Fractions 34/232,571/949,549/627 is 1/138045336

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

Greatest Common Factor of 34,571,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,571,549 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 34,571,549 . The biggest common factor number is the GCF number.
So the greatest common factor 34,571,549 is 1.

Lets's calculate LCM of 232,949,627

Given numbers has no common factors except 1. So, there LCM is their product i.e 138045336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138045336

Therefore, the GCF of Fractions 34/232,571/949,549/627 is 1/138045336

Least Common Multiple of 232,949,627 with GCF Formula

Least Common Multiple of 232,949,627 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 232,949,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,949,627) = 1

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

GCF(232,949,627) x common factors =1 x 1 = 1

LCM(232,949,627) = ( 232 × 949 × 627 ) / 1

LCM(232,949,627) = 138045336 / 1

LCM(232,949,627) = 138045336


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 34/232, 571/949, 549/627

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 34/232, 571/949, 549/627?

Answer: GCF of Numerators as per given numbers 34/232, 571/949, 549/627 is

GCF of Numerators i.e. for 34,571,549 is 1

LCM of denominators i.e. for 232,949,627 is 138045336.

Thus, GCF of Fractions is 1/138045336.Finally, GCF of Fractions for 34/232, 571/949, 549/627 is 1/138045336.