GCF of 3660/281, 6780/3462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3660/281, 6780/3462 i.e 60/972822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3660/281, 6780/3462.
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 3660/281,6780/3462?
Given fractions are 3660/281,6780/3462
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 3660/281,6780/3462, numerators are 3660,6780
Denominators are 281,3462
The GCF of 3660,6780 is 60 .
LCM of 281,3462 is 972822.
The greatest common factor of 3660/281,6780/3462 = [GCF of 3660,6780]/[LCM of 281,3462]= 60/972822
Therefore, the GCF of 3660/281,6780/3462 is 60/972822.
To find the highest common factor of 3660,6780, we have to find the factors of both numbers and list the highest common factor.
The factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660
The factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780
The HCF of 3660,6780 is 60.
Lets's calculate GCF of 3660,6780
| 2 | 3660, 6780 |
| 2 | 1830, 3390 |
| 3 | 915, 1695 |
| 5 | 305, 565 |
| 61, 113 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 3660,6780 By Matching Biggest Common Factor Method
Now, list down the factors of 3660
:1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660
Now, list down the factors of 6780
:1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Greatest Common Factor
We found the factors 3660,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 3660,6780 is 60.
Lets's calculate LCM of 281,3462
Given numbers has no common factors except 1. So, there LCM is their product i.e 972822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/972822
Therefore, the GCF of Fractions 3660/281,6780/3462 is 60/972822
Least Common Multiple of 281,3462 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 281,3462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,3462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,3462) x common factors =1 x 1 = 1
LCM(281,3462) = ( 281 × 3462 ) / 1
LCM(281,3462) = 972822 / 1
LCM(281,3462) = 972822
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FAQs on GCF of Fractions of 3660/281, 6780/3462
1. What is the HCF of 3660,6780?
The HCF of 3660,6780 is 60
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 3660/281, 6780/3462?
Answer: GCF of Numerators as per given numbers 3660/281, 6780/3462 is
GCF of Numerators i.e. for 3660,6780 is 60
LCM of denominators i.e. for 281,3462 is 972822.
Thus, GCF of Fractions is 60/972822.Finally, GCF of Fractions for 3660/281, 6780/3462 is 60/972822.