How to Find GCF of 627/205, 1898/3112?

GCF of 627/205, 1898/3112

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 627/205, 1898/3112 i.e 1/637960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/205, 1898/3112.

Enter two or more fractions separated by "commas"

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

What is the GCF of 627/205,1898/3112?

Given fractions are 627/205,1898/3112

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 627/205,1898/3112, numerators are 627,1898

Denominators are 205,3112

The GCF of 627,1898 is 1 .

LCM of 205,3112 is 637960.

The greatest common factor of 627/205,1898/3112 = [GCF of 627,1898]/[LCM of 205,3112]= 1/637960

Therefore, the GCF of 627/205,1898/3112 is 1/637960.

Greatest Common Factor of 627,1898

To find the highest common factor of 627,1898, 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 1898 are 1, 2, 13, 26, 73, 146, 949, 1898

The HCF of 627,1898 is 1.

Lets's calculate GCF of 627,1898

Greatest Common Factor (GCF) of 627,1898 By Common Division

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

Greatest Common Factor of 627,1898 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 1898

1,2,13,26,73,146,949,1898

Greatest Common Factor

We found the factors 627,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 627,1898 is 1.

Lets's calculate LCM of 205,3112

Lowest Common Multiple of 205,3112 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 637960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637960

Therefore, the GCF of Fractions 627/205,1898/3112 is 1/637960

Least Common Multiple of 205,3112 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 205,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,3112) = 1

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

GCF(205,3112) x common factors =1 x 1 = 1

LCM(205,3112) = ( 205 × 3112 ) / 1

LCM(205,3112) = 637960 / 1

LCM(205,3112) = 637960

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FAQs on GCF of Fractions of 627/205, 1898/3112

1. What is the HCF of 627,1898?

The HCF of 627,1898 is 1

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 627/205, 1898/3112?

Answer: GCF of Numerators as per given numbers 627/205, 1898/3112 is

GCF of Numerators i.e. for 627,1898 is 1

LCM of denominators i.e. for 205,3112 is 637960.

Thus, GCF of Fractions is 1/637960.Finally, GCF of Fractions for 627/205, 1898/3112 is 1/637960.