How to Find GCF of 1299/640, 1627/6653?

GCF of 1299/640, 1627/6653

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 1299/640, 1627/6653 i.e 1/4257920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1299/640, 1627/6653.

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 1299/640,1627/6653?

Given fractions are 1299/640,1627/6653

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 1299/640,1627/6653, numerators are 1299,1627

Denominators are 640,6653

The GCF of 1299,1627 is 1 .

LCM of 640,6653 is 4257920.

The greatest common factor of 1299/640,1627/6653 = [GCF of 1299,1627]/[LCM of 640,6653]= 1/4257920

Therefore, the GCF of 1299/640,1627/6653 is 1/4257920.

Greatest Common Factor of 1299,1627

To find the highest common factor of 1299,1627, we have to find the factors of both numbers and list the highest common factor.

The factors of 1299 are 1, 3, 433, 1299

The factors of 1627 are 1, 1627

The HCF of 1299,1627 is 1.

Lets's calculate GCF of 1299,1627

Greatest Common Factor (GCF) of 1299,1627 By Common Division

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

Greatest Common Factor of 1299,1627 By Matching Biggest Common Factor Method

Now, list down the factors of 1299

1,3,433,1299

Now, list down the factors of 1627

1,1627

Greatest Common Factor

We found the factors 1299,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 1299,1627 is 1.

Lets's calculate LCM of 640,6653

Lowest Common Multiple of 640,6653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4257920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4257920

Therefore, the GCF of Fractions 1299/640,1627/6653 is 1/4257920

Least Common Multiple of 640,6653 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 640,6653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,6653) = 1

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

GCF(640,6653) x common factors =1 x 1 = 1

LCM(640,6653) = ( 640 × 6653 ) / 1

LCM(640,6653) = 4257920 / 1

LCM(640,6653) = 4257920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1299/640, 1627/6653

1. What is the HCF of 1299,1627?

The HCF of 1299,1627 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 1299/640, 1627/6653?

Answer: GCF of Numerators as per given numbers 1299/640, 1627/6653 is

GCF of Numerators i.e. for 1299,1627 is 1

LCM of denominators i.e. for 640,6653 is 4257920.

Thus, GCF of Fractions is 1/4257920.Finally, GCF of Fractions for 1299/640, 1627/6653 is 1/4257920.