GCF of 6582/270, 5024/9850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6582/270, 5024/9850 i.e 2/265950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6582/270, 5024/9850.
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 6582/270,5024/9850?
Given fractions are 6582/270,5024/9850
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 6582/270,5024/9850, numerators are 6582,5024
Denominators are 270,9850
The GCF of 6582,5024 is 2 .
LCM of 270,9850 is 265950.
The greatest common factor of 6582/270,5024/9850 = [GCF of 6582,5024]/[LCM of 270,9850]= 2/265950
Therefore, the GCF of 6582/270,5024/9850 is 2/265950.
To find the highest common factor of 6582,5024, we have to find the factors of both numbers and list the highest common factor.
The factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The HCF of 6582,5024 is 2.
Lets's calculate GCF of 6582,5024
| 2 | 6582, 5024 |
| 3291, 2512 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6582,5024 By Matching Biggest Common Factor Method
Now, list down the factors of 6582
:1,2,3,6,1097,2194,3291,6582
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Greatest Common Factor
We found the factors 6582,5024 . The biggest common factor number is the GCF number.
So the greatest common factor 6582,5024 is 2.
Lets's calculate LCM of 270,9850
| 2 | 270, 9850 |
| 5 | 135, 4925 |
| 27, 985 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 985 = 265950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265950
Therefore, the GCF of Fractions 6582/270,5024/9850 is 2/265950
Least Common Multiple of 270,9850 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 270,9850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,9850) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(270,9850) x common factors =10 x 1 = 10
LCM(270,9850) = ( 270 × 9850 ) / 10
LCM(270,9850) = 2659500 / 10
LCM(270,9850) = 265950
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FAQs on GCF of Fractions of 6582/270, 5024/9850
1. What is the HCF of 6582,5024?
The HCF of 6582,5024 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 6582/270, 5024/9850?
Answer: GCF of Numerators as per given numbers 6582/270, 5024/9850 is
GCF of Numerators i.e. for 6582,5024 is 2
LCM of denominators i.e. for 270,9850 is 265950.
Thus, GCF of Fractions is 2/265950.Finally, GCF of Fractions for 6582/270, 5024/9850 is 2/265950.