GCF of 3614/787, 6584/7251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3614/787, 6584/7251 i.e 2/5706537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3614/787, 6584/7251.
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 3614/787,6584/7251?
Given fractions are 3614/787,6584/7251
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 3614/787,6584/7251, numerators are 3614,6584
Denominators are 787,7251
The GCF of 3614,6584 is 2 .
LCM of 787,7251 is 5706537.
The greatest common factor of 3614/787,6584/7251 = [GCF of 3614,6584]/[LCM of 787,7251]= 2/5706537
Therefore, the GCF of 3614/787,6584/7251 is 2/5706537.
To find the highest common factor of 3614,6584, we have to find the factors of both numbers and list the highest common factor.
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
The HCF of 3614,6584 is 2.
Lets's calculate GCF of 3614,6584
| 2 | 3614, 6584 |
| 1807, 3292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3614,6584 By Matching Biggest Common Factor Method
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 3614,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,6584 is 2.
Lets's calculate LCM of 787,7251
Given numbers has no common factors except 1. So, there LCM is their product i.e 5706537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5706537
Therefore, the GCF of Fractions 3614/787,6584/7251 is 2/5706537
Least Common Multiple of 787,7251 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 787,7251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,7251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,7251) x common factors =1 x 1 = 1
LCM(787,7251) = ( 787 × 7251 ) / 1
LCM(787,7251) = 5706537 / 1
LCM(787,7251) = 5706537
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FAQs on GCF of Fractions of 3614/787, 6584/7251
1. What is the HCF of 3614,6584?
The HCF of 3614,6584 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 3614/787, 6584/7251?
Answer: GCF of Numerators as per given numbers 3614/787, 6584/7251 is
GCF of Numerators i.e. for 3614,6584 is 2
LCM of denominators i.e. for 787,7251 is 5706537.
Thus, GCF of Fractions is 2/5706537.Finally, GCF of Fractions for 3614/787, 6584/7251 is 2/5706537.