GCF of 2988/768, 8215/3932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2988/768, 8215/3932 i.e 1/754944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2988/768, 8215/3932.
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 2988/768,8215/3932?
Given fractions are 2988/768,8215/3932
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 2988/768,8215/3932, numerators are 2988,8215
Denominators are 768,3932
The GCF of 2988,8215 is 1 .
LCM of 768,3932 is 754944.
The greatest common factor of 2988/768,8215/3932 = [GCF of 2988,8215]/[LCM of 768,3932]= 1/754944
Therefore, the GCF of 2988/768,8215/3932 is 1/754944.
To find the highest common factor of 2988,8215, we have to find the factors of both numbers and list the highest common factor.
The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The HCF of 2988,8215 is 1.
Lets's calculate GCF of 2988,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2988,8215 By Matching Biggest Common Factor Method
Now, list down the factors of 2988
:1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 2988,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 2988,8215 is 1.
Lets's calculate LCM of 768,3932
| 2 | 768, 3932 |
| 2 | 384, 1966 |
| 192, 983 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 983 = 754944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754944
Therefore, the GCF of Fractions 2988/768,8215/3932 is 1/754944
Least Common Multiple of 768,3932 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 768,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,3932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,3932) x common factors =4 x 1 = 4
LCM(768,3932) = ( 768 × 3932 ) / 4
LCM(768,3932) = 3019776 / 4
LCM(768,3932) = 754944
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FAQs on GCF of Fractions of 2988/768, 8215/3932
1. What is the HCF of 2988,8215?
The HCF of 2988,8215 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 2988/768, 8215/3932?
Answer: GCF of Numerators as per given numbers 2988/768, 8215/3932 is
GCF of Numerators i.e. for 2988,8215 is 1
LCM of denominators i.e. for 768,3932 is 754944.
Thus, GCF of Fractions is 1/754944.Finally, GCF of Fractions for 2988/768, 8215/3932 is 1/754944.