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GCF of 627/39, 143/625

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 627/39, 143/625 i.e 11/24375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/39, 143/625.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 627/39,143/625?

Given fractions are 627/39,143/625

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 627/39,143/625, numerators are 627,143

Denominators are 39,625

The GCF of 627,143 is 11 .

LCM of 39,625 is 24375.

The greatest common factor of 627/39,143/625 = [GCF of 627,143]/[LCM of 39,625]= 11/24375

Therefore, the GCF of 627/39,143/625 is 11/24375.

Greatest Common Factor of 627,143

To find the highest common factor of 627,143, we have to find the factors of both numbers and list the highest common factor.

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The factors of 143 are 1, 11, 13, 143

The HCF of 627,143 is 11.

Lets's calculate GCF of 627,143

Greatest Common Factor (GCF) of 627,143 By Common Division

11 627, 143
57, 13

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 627,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,143 By Matching Biggest Common Factor Method

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Now, list down the factors of 143

:

1,11,13,143

Greatest Common Factor

We found the factors 627,143 . The biggest common factor number is the GCF number.
So the greatest common factor 627,143 is 11.


Lets's calculate LCM of 39,625

Lowest Common Multiple of 39,625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24375

Therefore, the GCF of Fractions 627/39,143/625 is 11/24375

Least Common Multiple of 39,625 with GCF Formula

Least Common Multiple of 39,625 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 39,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,625) = 1

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

GCF(39,625) x common factors =1 x 1 = 1

LCM(39,625) = ( 39 × 625 ) / 1

LCM(39,625) = 24375 / 1

LCM(39,625) = 24375


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 627/39, 143/625

1. What is the HCF of 627,143?

The HCF of 627,143 is 11

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 627/39, 143/625?

Answer: GCF of Numerators as per given numbers 627/39, 143/625 is

GCF of Numerators i.e. for 627,143 is 11

LCM of denominators i.e. for 39,625 is 24375.

Thus, GCF of Fractions is 11/24375.Finally, GCF of Fractions for 627/39, 143/625 is 11/24375.