How to Find GCF of 5621/648, 8383/5646?

GCF of 5621/648, 8383/5646

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 5621/648, 8383/5646 i.e 1/609768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5621/648, 8383/5646.

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 5621/648,8383/5646?

Given fractions are 5621/648,8383/5646

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 5621/648,8383/5646, numerators are 5621,8383

Denominators are 648,5646

The GCF of 5621,8383 is 1 .

LCM of 648,5646 is 609768.

The greatest common factor of 5621/648,8383/5646 = [GCF of 5621,8383]/[LCM of 648,5646]= 1/609768

Therefore, the GCF of 5621/648,8383/5646 is 1/609768.

Greatest Common Factor of 5621,8383

To find the highest common factor of 5621,8383, we have to find the factors of both numbers and list the highest common factor.

The factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621

The factors of 8383 are 1, 83, 101, 8383

The HCF of 5621,8383 is 1.

Lets's calculate GCF of 5621,8383

Greatest Common Factor (GCF) of 5621,8383 By Common Division

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

Greatest Common Factor of 5621,8383 By Matching Biggest Common Factor Method

Now, list down the factors of 5621

1,7,11,73,77,511,803,5621

Now, list down the factors of 8383

1,83,101,8383

Greatest Common Factor

We found the factors 5621,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,8383 is 1.

Lets's calculate LCM of 648,5646

Lowest Common Multiple of 648,5646 using Common Division

2	648, 5646
3	324, 2823
	108, 941

∴ So the LCM of the given numbers is 2 x 3 x 108 x 941 = 609768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609768

Therefore, the GCF of Fractions 5621/648,8383/5646 is 1/609768

Least Common Multiple of 648,5646 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 648,5646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,5646) = 6

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

GCF(648,5646) x common factors =6 x 1 = 6

LCM(648,5646) = ( 648 × 5646 ) / 6

LCM(648,5646) = 3658608 / 6

LCM(648,5646) = 609768

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FAQs on GCF of Fractions of 5621/648, 8383/5646

1. What is the HCF of 5621,8383?

The HCF of 5621,8383 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 5621/648, 8383/5646?

Answer: GCF of Numerators as per given numbers 5621/648, 8383/5646 is

GCF of Numerators i.e. for 5621,8383 is 1

LCM of denominators i.e. for 648,5646 is 609768.

Thus, GCF of Fractions is 1/609768.Finally, GCF of Fractions for 5621/648, 8383/5646 is 1/609768.