How to Find GCF of 2213/614, 1627/9991?

GCF of 2213/614, 1627/9991

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 2213/614, 1627/9991 i.e 1/6134474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2213/614, 1627/9991.

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 2213/614,1627/9991?

Given fractions are 2213/614,1627/9991

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 2213/614,1627/9991, numerators are 2213,1627

Denominators are 614,9991

The GCF of 2213,1627 is 1 .

LCM of 614,9991 is 6134474.

The greatest common factor of 2213/614,1627/9991 = [GCF of 2213,1627]/[LCM of 614,9991]= 1/6134474

Therefore, the GCF of 2213/614,1627/9991 is 1/6134474.

Greatest Common Factor of 2213,1627

To find the highest common factor of 2213,1627, we have to find the factors of both numbers and list the highest common factor.

The factors of 2213 are 1, 2213

The factors of 1627 are 1, 1627

The HCF of 2213,1627 is 1.

Lets's calculate GCF of 2213,1627

Greatest Common Factor (GCF) of 2213,1627 By Common Division

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

Greatest Common Factor of 2213,1627 By Matching Biggest Common Factor Method

Now, list down the factors of 2213

1,2213

Now, list down the factors of 1627

1,1627

Greatest Common Factor

We found the factors 2213,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 2213,1627 is 1.

Lets's calculate LCM of 614,9991

Lowest Common Multiple of 614,9991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6134474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6134474

Therefore, the GCF of Fractions 2213/614,1627/9991 is 1/6134474

Least Common Multiple of 614,9991 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 614,9991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,9991) = 1

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

GCF(614,9991) x common factors =1 x 1 = 1

LCM(614,9991) = ( 614 × 9991 ) / 1

LCM(614,9991) = 6134474 / 1

LCM(614,9991) = 6134474

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FAQs on GCF of Fractions of 2213/614, 1627/9991

1. What is the HCF of 2213,1627?

The HCF of 2213,1627 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 2213/614, 1627/9991?

Answer: GCF of Numerators as per given numbers 2213/614, 1627/9991 is

GCF of Numerators i.e. for 2213,1627 is 1

LCM of denominators i.e. for 614,9991 is 6134474.

Thus, GCF of Fractions is 1/6134474.Finally, GCF of Fractions for 2213/614, 1627/9991 is 1/6134474.