GCF of 7614/656, 3286/7539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7614/656, 3286/7539 i.e 2/4945584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7614/656, 3286/7539.
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 7614/656,3286/7539?
Given fractions are 7614/656,3286/7539
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 7614/656,3286/7539, numerators are 7614,3286
Denominators are 656,7539
The GCF of 7614,3286 is 2 .
LCM of 656,7539 is 4945584.
The greatest common factor of 7614/656,3286/7539 = [GCF of 7614,3286]/[LCM of 656,7539]= 2/4945584
Therefore, the GCF of 7614/656,3286/7539 is 2/4945584.
To find the highest common factor of 7614,3286, we have to find the factors of both numbers and list the highest common factor.
The factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614
The factors of 3286 are 1, 2, 31, 53, 62, 106, 1643, 3286
The HCF of 7614,3286 is 2.
Lets's calculate GCF of 7614,3286
| 2 | 7614, 3286 |
| 3807, 1643 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7614,3286 By Matching Biggest Common Factor Method
Now, list down the factors of 7614
:1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Now, list down the factors of 3286
:1,2,31,53,62,106,1643,3286
Greatest Common Factor
We found the factors 7614,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 7614,3286 is 2.
Lets's calculate LCM of 656,7539
Given numbers has no common factors except 1. So, there LCM is their product i.e 4945584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4945584
Therefore, the GCF of Fractions 7614/656,3286/7539 is 2/4945584
Least Common Multiple of 656,7539 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 656,7539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,7539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,7539) x common factors =1 x 1 = 1
LCM(656,7539) = ( 656 × 7539 ) / 1
LCM(656,7539) = 4945584 / 1
LCM(656,7539) = 4945584
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FAQs on GCF of Fractions of 7614/656, 3286/7539
1. What is the HCF of 7614,3286?
The HCF of 7614,3286 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 7614/656, 3286/7539?
Answer: GCF of Numerators as per given numbers 7614/656, 3286/7539 is
GCF of Numerators i.e. for 7614,3286 is 2
LCM of denominators i.e. for 656,7539 is 4945584.
Thus, GCF of Fractions is 2/4945584.Finally, GCF of Fractions for 7614/656, 3286/7539 is 2/4945584.