GCF of 3605/212, 1584/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3605/212, 1584/7638 i.e 1/809628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3605/212, 1584/7638.
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 3605/212,1584/7638?
Given fractions are 3605/212,1584/7638
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 3605/212,1584/7638, numerators are 3605,1584
Denominators are 212,7638
The GCF of 3605,1584 is 1 .
LCM of 212,7638 is 809628.
The greatest common factor of 3605/212,1584/7638 = [GCF of 3605,1584]/[LCM of 212,7638]= 1/809628
Therefore, the GCF of 3605/212,1584/7638 is 1/809628.
To find the highest common factor of 3605,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 3605,1584 is 1.
Lets's calculate GCF of 3605,1584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3605,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 3605
:1,5,7,35,103,515,721,3605
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 3605,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,1584 is 1.
Lets's calculate LCM of 212,7638
| 2 | 212, 7638 |
| 106, 3819 |
∴ So the LCM of the given numbers is 2 x 106 x 3819 = 809628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809628
Therefore, the GCF of Fractions 3605/212,1584/7638 is 1/809628
Least Common Multiple of 212,7638 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 212,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,7638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,7638) x common factors =2 x 1 = 2
LCM(212,7638) = ( 212 × 7638 ) / 2
LCM(212,7638) = 1619256 / 2
LCM(212,7638) = 809628
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FAQs on GCF of Fractions of 3605/212, 1584/7638
1. What is the HCF of 3605,1584?
The HCF of 3605,1584 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 3605/212, 1584/7638?
Answer: GCF of Numerators as per given numbers 3605/212, 1584/7638 is
GCF of Numerators i.e. for 3605,1584 is 1
LCM of denominators i.e. for 212,7638 is 809628.
Thus, GCF of Fractions is 1/809628.Finally, GCF of Fractions for 3605/212, 1584/7638 is 1/809628.