GCF of 5182/980, 8402/1587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5182/980, 8402/1587 i.e 2/1555260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5182/980, 8402/1587.
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 5182/980,8402/1587?
Given fractions are 5182/980,8402/1587
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 5182/980,8402/1587, numerators are 5182,8402
Denominators are 980,1587
The GCF of 5182,8402 is 2 .
LCM of 980,1587 is 1555260.
The greatest common factor of 5182/980,8402/1587 = [GCF of 5182,8402]/[LCM of 980,1587]= 2/1555260
Therefore, the GCF of 5182/980,8402/1587 is 2/1555260.
To find the highest common factor of 5182,8402, we have to find the factors of both numbers and list the highest common factor.
The factors of 5182 are 1, 2, 2591, 5182
The factors of 8402 are 1, 2, 4201, 8402
The HCF of 5182,8402 is 2.
Lets's calculate GCF of 5182,8402
| 2 | 5182, 8402 |
| 2591, 4201 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5182,8402 By Matching Biggest Common Factor Method
Now, list down the factors of 5182
:1,2,2591,5182
Now, list down the factors of 8402
:1,2,4201,8402
Greatest Common Factor
We found the factors 5182,8402 . The biggest common factor number is the GCF number.
So the greatest common factor 5182,8402 is 2.
Lets's calculate LCM of 980,1587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1555260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1555260
Therefore, the GCF of Fractions 5182/980,8402/1587 is 2/1555260
Least Common Multiple of 980,1587 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 980,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,1587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(980,1587) x common factors =1 x 1 = 1
LCM(980,1587) = ( 980 × 1587 ) / 1
LCM(980,1587) = 1555260 / 1
LCM(980,1587) = 1555260
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FAQs on GCF of Fractions of 5182/980, 8402/1587
1. What is the HCF of 5182,8402?
The HCF of 5182,8402 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 5182/980, 8402/1587?
Answer: GCF of Numerators as per given numbers 5182/980, 8402/1587 is
GCF of Numerators i.e. for 5182,8402 is 2
LCM of denominators i.e. for 980,1587 is 1555260.
Thus, GCF of Fractions is 2/1555260.Finally, GCF of Fractions for 5182/980, 8402/1587 is 2/1555260.