GCF of 6215/414, 9900/7316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6215/414, 9900/7316 i.e 55/1514412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6215/414, 9900/7316.
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 6215/414,9900/7316?
Given fractions are 6215/414,9900/7316
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 6215/414,9900/7316, numerators are 6215,9900
Denominators are 414,7316
The GCF of 6215,9900 is 55 .
LCM of 414,7316 is 1514412.
The greatest common factor of 6215/414,9900/7316 = [GCF of 6215,9900]/[LCM of 414,7316]= 55/1514412
Therefore, the GCF of 6215/414,9900/7316 is 55/1514412.
To find the highest common factor of 6215,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 6215,9900 is 55.
Lets's calculate GCF of 6215,9900
| 5 | 6215, 9900 |
| 11 | 1243, 1980 |
| 113, 180 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 6215,9900 By Matching Biggest Common Factor Method
Now, list down the factors of 6215
:1,5,11,55,113,565,1243,6215
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 6215,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 6215,9900 is 55.
Lets's calculate LCM of 414,7316
| 2 | 414, 7316 |
| 207, 3658 |
∴ So the LCM of the given numbers is 2 x 207 x 3658 = 1514412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/1514412
Therefore, the GCF of Fractions 6215/414,9900/7316 is 55/1514412
Least Common Multiple of 414,7316 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 414,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,7316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,7316) x common factors =2 x 1 = 2
LCM(414,7316) = ( 414 × 7316 ) / 2
LCM(414,7316) = 3028824 / 2
LCM(414,7316) = 1514412
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6215/414, 9900/7316
1. What is the HCF of 6215,9900?
The HCF of 6215,9900 is 55
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 6215/414, 9900/7316?
Answer: GCF of Numerators as per given numbers 6215/414, 9900/7316 is
GCF of Numerators i.e. for 6215,9900 is 55
LCM of denominators i.e. for 414,7316 is 1514412.
Thus, GCF of Fractions is 55/1514412.Finally, GCF of Fractions for 6215/414, 9900/7316 is 55/1514412.