GCF of 6684/768, 8262/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6684/768, 8262/978 i.e 6/125184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6684/768, 8262/978.
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 6684/768,8262/978?
Given fractions are 6684/768,8262/978
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 6684/768,8262/978, numerators are 6684,8262
Denominators are 768,978
The GCF of 6684,8262 is 6 .
LCM of 768,978 is 125184.
The greatest common factor of 6684/768,8262/978 = [GCF of 6684,8262]/[LCM of 768,978]= 6/125184
Therefore, the GCF of 6684/768,8262/978 is 6/125184.
To find the highest common factor of 6684,8262, we have to find the factors of both numbers and list the highest common factor.
The factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The HCF of 6684,8262 is 6.
Lets's calculate GCF of 6684,8262
| 2 | 6684, 8262 |
| 3 | 3342, 4131 |
| 1114, 1377 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6684,8262 By Matching Biggest Common Factor Method
Now, list down the factors of 6684
:1,2,3,4,6,12,557,1114,1671,2228,3342,6684
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors 6684,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 6684,8262 is 6.
Lets's calculate LCM of 768,978
| 2 | 768, 978 |
| 3 | 384, 489 |
| 128, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 163 = 125184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/125184
Therefore, the GCF of Fractions 6684/768,8262/978 is 6/125184
Least Common Multiple of 768,978 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 768,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,978) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,978) x common factors =6 x 1 = 6
LCM(768,978) = ( 768 × 978 ) / 6
LCM(768,978) = 751104 / 6
LCM(768,978) = 125184
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FAQs on GCF of Fractions of 6684/768, 8262/978
1. What is the HCF of 6684,8262?
The HCF of 6684,8262 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 6684/768, 8262/978?
Answer: GCF of Numerators as per given numbers 6684/768, 8262/978 is
GCF of Numerators i.e. for 6684,8262 is 6
LCM of denominators i.e. for 768,978 is 125184.
Thus, GCF of Fractions is 6/125184.Finally, GCF of Fractions for 6684/768, 8262/978 is 6/125184.