GCF of 6502/158, 3245/9032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6502/158, 3245/9032 i.e 1/713528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6502/158, 3245/9032.
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 6502/158,3245/9032?
Given fractions are 6502/158,3245/9032
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 6502/158,3245/9032, numerators are 6502,3245
Denominators are 158,9032
The GCF of 6502,3245 is 1 .
LCM of 158,9032 is 713528.
The greatest common factor of 6502/158,3245/9032 = [GCF of 6502,3245]/[LCM of 158,9032]= 1/713528
Therefore, the GCF of 6502/158,3245/9032 is 1/713528.
To find the highest common factor of 6502,3245, 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 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The HCF of 6502,3245 is 1.
Lets's calculate GCF of 6502,3245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6502,3245 By Matching Biggest Common Factor Method
Now, list down the factors of 6502
:1,2,3251,6502
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Greatest Common Factor
We found the factors 6502,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 6502,3245 is 1.
Lets's calculate LCM of 158,9032
| 2 | 158, 9032 |
| 79, 4516 |
∴ So the LCM of the given numbers is 2 x 79 x 4516 = 713528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713528
Therefore, the GCF of Fractions 6502/158,3245/9032 is 1/713528
Least Common Multiple of 158,9032 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 158,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,9032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,9032) x common factors =2 x 1 = 2
LCM(158,9032) = ( 158 × 9032 ) / 2
LCM(158,9032) = 1427056 / 2
LCM(158,9032) = 713528
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FAQs on GCF of Fractions of 6502/158, 3245/9032
1. What is the HCF of 6502,3245?
The HCF of 6502,3245 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 6502/158, 3245/9032?
Answer: GCF of Numerators as per given numbers 6502/158, 3245/9032 is
GCF of Numerators i.e. for 6502,3245 is 1
LCM of denominators i.e. for 158,9032 is 713528.
Thus, GCF of Fractions is 1/713528.Finally, GCF of Fractions for 6502/158, 3245/9032 is 1/713528.