GCF of 666/282, 684/184, 971/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/282, 684/184, 971/644 i.e 1/181608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/282, 684/184, 971/644.
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 666/282,684/184,971/644?
Given fractions are 666/282,684/184,971/644
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 666/282,684/184,971/644, numerators are 666,684,971
Denominators are 282,184,644
The GCF of 666,684,971 is 1 .
LCM of 282,184,644 is 181608.
The greatest common factor of 666/282,684/184,971/644 = [GCF of 666,684,971]/[LCM of 282,184,644]= 1/181608
Therefore, the GCF of 666/282,684/184,971/644 is 1/181608.
To find the highest common factor of 666,684,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The factors of 971 are 1, 971
The HCF of 666,684,971 is 1.
Lets's calculate GCF of 666,684,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 666,684,971 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 666,684,971 . The biggest common factor number is the GCF number.
So the greatest common factor 666,684,971 is 1.
Lets's calculate LCM of 282,184,644
| 2 | 282, 184, 644 |
| 2 | 141, 92, 322 |
| 23 | 141, 46, 161 |
| 141, 2, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 141 x 2 x 7 = 181608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181608
Therefore, the GCF of Fractions 666/282,684/184,971/644 is 1/181608
Least Common Multiple of 282,184,644 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 282,184,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,184,644) = 2
common factors(in case of two or more numbers have common factors) = 92
GCF(282,184,644) x common factors =2 x 92 = 184
LCM(282,184,644) = ( 282 × 184 × 644 ) / 184
LCM(282,184,644) = 33415872 / 184
LCM(282,184,644) = 181608
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FAQs on GCF of Fractions of 666/282, 684/184, 971/644
1. What is the HCF of 666,684,971?
The HCF of 666,684,971 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 666/282, 684/184, 971/644?
Answer: GCF of Numerators as per given numbers 666/282, 684/184, 971/644 is
GCF of Numerators i.e. for 666,684,971 is 1
LCM of denominators i.e. for 282,184,644 is 181608.
Thus, GCF of Fractions is 1/181608.Finally, GCF of Fractions for 666/282, 684/184, 971/644 is 1/181608.