GCF of 6502/647, 6578/3488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6502/647, 6578/3488 i.e 2/2256736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6502/647, 6578/3488.
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 6502/647,6578/3488?
Given fractions are 6502/647,6578/3488
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 6502/647,6578/3488, numerators are 6502,6578
Denominators are 647,3488
The GCF of 6502,6578 is 2 .
LCM of 647,3488 is 2256736.
The greatest common factor of 6502/647,6578/3488 = [GCF of 6502,6578]/[LCM of 647,3488]= 2/2256736
Therefore, the GCF of 6502/647,6578/3488 is 2/2256736.
To find the highest common factor of 6502,6578, we have to find the factors of both numbers and list the highest common factor.
The factors of 6502 are 1, 2, 3251, 6502
The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
The HCF of 6502,6578 is 2.
Lets's calculate GCF of 6502,6578
| 2 | 6502, 6578 |
| 3251, 3289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6502,6578 By Matching Biggest Common Factor Method
Now, list down the factors of 6502
:1,2,3251,6502
Now, list down the factors of 6578
:1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors 6502,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 6502,6578 is 2.
Lets's calculate LCM of 647,3488
Given numbers has no common factors except 1. So, there LCM is their product i.e 2256736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2256736
Therefore, the GCF of Fractions 6502/647,6578/3488 is 2/2256736
Least Common Multiple of 647,3488 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 647,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,3488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,3488) x common factors =1 x 1 = 1
LCM(647,3488) = ( 647 × 3488 ) / 1
LCM(647,3488) = 2256736 / 1
LCM(647,3488) = 2256736
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FAQs on GCF of Fractions of 6502/647, 6578/3488
1. What is the HCF of 6502,6578?
The HCF of 6502,6578 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 6502/647, 6578/3488?
Answer: GCF of Numerators as per given numbers 6502/647, 6578/3488 is
GCF of Numerators i.e. for 6502,6578 is 2
LCM of denominators i.e. for 647,3488 is 2256736.
Thus, GCF of Fractions is 2/2256736.Finally, GCF of Fractions for 6502/647, 6578/3488 is 2/2256736.