Use our free GCF of Fractions Calculator tool to compute the GCF of 3627/651, 8280/9420 i.e 9/2044140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3627/651, 8280/9420.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3627/651,8280/9420
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 3627/651,8280/9420, numerators are 3627,8280
Denominators are 651,9420
The GCF of 3627,8280 is 9 .
LCM of 651,9420 is 2044140.
The greatest common factor of 3627/651,8280/9420 = [GCF of 3627,8280]/[LCM of 651,9420]= 9/2044140
Therefore, the GCF of 3627/651,8280/9420 is 9/2044140.
To find the highest common factor of 3627,8280, we have to find the factors of both numbers and list the highest common factor.
The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The HCF of 3627,8280 is 9.
Lets's calculate GCF of 3627,8280
3 | 3627, 8280 |
3 | 1209, 2760 |
403, 920 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 3627
:1,3,9,13,31,39,93,117,279,403,1209,3627
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Greatest Common Factor
We found the factors 3627,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 3627,8280 is 9.
Lets's calculate LCM of 651,9420
3 | 651, 9420 |
217, 3140 |
∴ So the LCM of the given numbers is 3 x 217 x 3140 = 2044140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2044140
Therefore, the GCF of Fractions 3627/651,8280/9420 is 9/2044140
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 651,9420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,9420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,9420) x common factors =3 x 1 = 3
LCM(651,9420) = ( 651 × 9420 ) / 3
LCM(651,9420) = 6132420 / 3
LCM(651,9420) = 2044140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3627,8280?
The HCF of 3627,8280 is 9
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 3627/651, 8280/9420?
Answer: GCF of Numerators as per given numbers 3627/651, 8280/9420 is
GCF of Numerators i.e. for 3627,8280 is 9
LCM of denominators i.e. for 651,9420 is 2044140.
Thus, GCF of Fractions is 9/2044140.Finally, GCF of Fractions for 3627/651, 8280/9420 is 9/2044140.