GCF of 3015/416, 8618/7244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3015/416, 8618/7244 i.e 1/753376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3015/416, 8618/7244.
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 3015/416,8618/7244?
Given fractions are 3015/416,8618/7244
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 3015/416,8618/7244, numerators are 3015,8618
Denominators are 416,7244
The GCF of 3015,8618 is 1 .
LCM of 416,7244 is 753376.
The greatest common factor of 3015/416,8618/7244 = [GCF of 3015,8618]/[LCM of 416,7244]= 1/753376
Therefore, the GCF of 3015/416,8618/7244 is 1/753376.
To find the highest common factor of 3015,8618, we have to find the factors of both numbers and list the highest common factor.
The factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
The factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618
The HCF of 3015,8618 is 1.
Lets's calculate GCF of 3015,8618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3015,8618 By Matching Biggest Common Factor Method
Now, list down the factors of 3015
:1,3,5,9,15,45,67,201,335,603,1005,3015
Now, list down the factors of 8618
:1,2,31,62,139,278,4309,8618
Greatest Common Factor
We found the factors 3015,8618 . The biggest common factor number is the GCF number.
So the greatest common factor 3015,8618 is 1.
Lets's calculate LCM of 416,7244
| 2 | 416, 7244 |
| 2 | 208, 3622 |
| 104, 1811 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 1811 = 753376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753376
Therefore, the GCF of Fractions 3015/416,8618/7244 is 1/753376
Least Common Multiple of 416,7244 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 416,7244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,7244) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,7244) x common factors =4 x 1 = 4
LCM(416,7244) = ( 416 × 7244 ) / 4
LCM(416,7244) = 3013504 / 4
LCM(416,7244) = 753376
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FAQs on GCF of Fractions of 3015/416, 8618/7244
1. What is the HCF of 3015,8618?
The HCF of 3015,8618 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 3015/416, 8618/7244?
Answer: GCF of Numerators as per given numbers 3015/416, 8618/7244 is
GCF of Numerators i.e. for 3015,8618 is 1
LCM of denominators i.e. for 416,7244 is 753376.
Thus, GCF of Fractions is 1/753376.Finally, GCF of Fractions for 3015/416, 8618/7244 is 1/753376.