GCF of 424/645, 9939/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/645, 9939/215 i.e 1/645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/645, 9939/215.
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 424/645,9939/215?
Given fractions are 424/645,9939/215
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 424/645,9939/215, numerators are 424,9939
Denominators are 645,215
The GCF of 424,9939 is 1 .
LCM of 645,215 is 645.
The greatest common factor of 424/645,9939/215 = [GCF of 424,9939]/[LCM of 645,215]= 1/645
Therefore, the GCF of 424/645,9939/215 is 1/645.
To find the highest common factor of 424,9939, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 9939 are 1, 3, 3313, 9939
The HCF of 424,9939 is 1.
Lets's calculate GCF of 424,9939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 424,9939 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 9939
:1,3,3313,9939
Greatest Common Factor
We found the factors 424,9939 . The biggest common factor number is the GCF number.
So the greatest common factor 424,9939 is 1.
Lets's calculate LCM of 645,215
| 5 | 645, 215 |
| 43 | 129, 43 |
| 3, 1 |
∴ So the LCM of the given numbers is 5 x 43 x 3 x 1 = 645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645
Therefore, the GCF of Fractions 424/645,9939/215 is 1/645
Least Common Multiple of 645,215 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 645,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,215) = 215
common factors(in case of two or more numbers have common factors) = 1
GCF(645,215) x common factors =215 x 1 = 215
LCM(645,215) = ( 645 × 215 ) / 215
LCM(645,215) = 138675 / 215
LCM(645,215) = 645
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FAQs on GCF of Fractions of 424/645, 9939/215
1. What is the HCF of 424,9939?
The HCF of 424,9939 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 424/645, 9939/215?
Answer: GCF of Numerators as per given numbers 424/645, 9939/215 is
GCF of Numerators i.e. for 424,9939 is 1
LCM of denominators i.e. for 645,215 is 645.
Thus, GCF of Fractions is 1/645.Finally, GCF of Fractions for 424/645, 9939/215 is 1/645.