GCF of 3684/120, 8802/7120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3684/120, 8802/7120 i.e 6/21360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3684/120, 8802/7120.
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 3684/120,8802/7120?
Given fractions are 3684/120,8802/7120
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 3684/120,8802/7120, numerators are 3684,8802
Denominators are 120,7120
The GCF of 3684,8802 is 6 .
LCM of 120,7120 is 21360.
The greatest common factor of 3684/120,8802/7120 = [GCF of 3684,8802]/[LCM of 120,7120]= 6/21360
Therefore, the GCF of 3684/120,8802/7120 is 6/21360.
To find the highest common factor of 3684,8802, we have to find the factors of both numbers and list the highest common factor.
The factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684
The factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802
The HCF of 3684,8802 is 6.
Lets's calculate GCF of 3684,8802
| 2 | 3684, 8802 |
| 3 | 1842, 4401 |
| 614, 1467 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3684,8802 By Matching Biggest Common Factor Method
Now, list down the factors of 3684
:1,2,3,4,6,12,307,614,921,1228,1842,3684
Now, list down the factors of 8802
:1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 3684,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 3684,8802 is 6.
Lets's calculate LCM of 120,7120
| 2 | 120, 7120 |
| 2 | 60, 3560 |
| 2 | 30, 1780 |
| 5 | 15, 890 |
| 3, 178 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 178 = 21360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/21360
Therefore, the GCF of Fractions 3684/120,8802/7120 is 6/21360
Least Common Multiple of 120,7120 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 120,7120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,7120) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(120,7120) x common factors =40 x 1 = 40
LCM(120,7120) = ( 120 × 7120 ) / 40
LCM(120,7120) = 854400 / 40
LCM(120,7120) = 21360
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FAQs on GCF of Fractions of 3684/120, 8802/7120
1. What is the HCF of 3684,8802?
The HCF of 3684,8802 is 6
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 3684/120, 8802/7120?
Answer: GCF of Numerators as per given numbers 3684/120, 8802/7120 is
GCF of Numerators i.e. for 3684,8802 is 6
LCM of denominators i.e. for 120,7120 is 21360.
Thus, GCF of Fractions is 6/21360.Finally, GCF of Fractions for 3684/120, 8802/7120 is 6/21360.