GCF of 6315/774, 3947/8990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6315/774, 3947/8990 i.e 1/3479130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6315/774, 3947/8990.
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 6315/774,3947/8990?
Given fractions are 6315/774,3947/8990
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 6315/774,3947/8990, numerators are 6315,3947
Denominators are 774,8990
The GCF of 6315,3947 is 1 .
LCM of 774,8990 is 3479130.
The greatest common factor of 6315/774,3947/8990 = [GCF of 6315,3947]/[LCM of 774,8990]= 1/3479130
Therefore, the GCF of 6315/774,3947/8990 is 1/3479130.
To find the highest common factor of 6315,3947, we have to find the factors of both numbers and list the highest common factor.
The factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315
The factors of 3947 are 1, 3947
The HCF of 6315,3947 is 1.
Lets's calculate GCF of 6315,3947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6315,3947 By Matching Biggest Common Factor Method
Now, list down the factors of 6315
:1,3,5,15,421,1263,2105,6315
Now, list down the factors of 3947
:1,3947
Greatest Common Factor
We found the factors 6315,3947 . The biggest common factor number is the GCF number.
So the greatest common factor 6315,3947 is 1.
Lets's calculate LCM of 774,8990
| 2 | 774, 8990 |
| 387, 4495 |
∴ So the LCM of the given numbers is 2 x 387 x 4495 = 3479130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3479130
Therefore, the GCF of Fractions 6315/774,3947/8990 is 1/3479130
Least Common Multiple of 774,8990 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 774,8990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8990) x common factors =2 x 1 = 2
LCM(774,8990) = ( 774 × 8990 ) / 2
LCM(774,8990) = 6958260 / 2
LCM(774,8990) = 3479130
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FAQs on GCF of Fractions of 6315/774, 3947/8990
1. What is the HCF of 6315,3947?
The HCF of 6315,3947 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 6315/774, 3947/8990?
Answer: GCF of Numerators as per given numbers 6315/774, 3947/8990 is
GCF of Numerators i.e. for 6315,3947 is 1
LCM of denominators i.e. for 774,8990 is 3479130.
Thus, GCF of Fractions is 1/3479130.Finally, GCF of Fractions for 6315/774, 3947/8990 is 1/3479130.