GCF of 8284/312, 7386/9607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8284/312, 7386/9607 i.e 2/230568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8284/312, 7386/9607.
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 8284/312,7386/9607?
Given fractions are 8284/312,7386/9607
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 8284/312,7386/9607, numerators are 8284,7386
Denominators are 312,9607
The GCF of 8284,7386 is 2 .
LCM of 312,9607 is 230568.
The greatest common factor of 8284/312,7386/9607 = [GCF of 8284,7386]/[LCM of 312,9607]= 2/230568
Therefore, the GCF of 8284/312,7386/9607 is 2/230568.
To find the highest common factor of 8284,7386, we have to find the factors of both numbers and list the highest common factor.
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386
The HCF of 8284,7386 is 2.
Lets's calculate GCF of 8284,7386
| 2 | 8284, 7386 |
| 4142, 3693 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8284,7386 By Matching Biggest Common Factor Method
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Now, list down the factors of 7386
:1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors 8284,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,7386 is 2.
Lets's calculate LCM of 312,9607
| 13 | 312, 9607 |
| 24, 739 |
∴ So the LCM of the given numbers is 13 x 24 x 739 = 230568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230568
Therefore, the GCF of Fractions 8284/312,7386/9607 is 2/230568
Least Common Multiple of 312,9607 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 312,9607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,9607) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(312,9607) x common factors =13 x 1 = 13
LCM(312,9607) = ( 312 × 9607 ) / 13
LCM(312,9607) = 2997384 / 13
LCM(312,9607) = 230568
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FAQs on GCF of Fractions of 8284/312, 7386/9607
1. What is the HCF of 8284,7386?
The HCF of 8284,7386 is 2
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 8284/312, 7386/9607?
Answer: GCF of Numerators as per given numbers 8284/312, 7386/9607 is
GCF of Numerators i.e. for 8284,7386 is 2
LCM of denominators i.e. for 312,9607 is 230568.
Thus, GCF of Fractions is 2/230568.Finally, GCF of Fractions for 8284/312, 7386/9607 is 2/230568.