GCF of 1010/984, 5870/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1010/984, 5870/3732 i.e 10/306024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1010/984, 5870/3732.
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 1010/984,5870/3732?
Given fractions are 1010/984,5870/3732
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 1010/984,5870/3732, numerators are 1010,5870
Denominators are 984,3732
The GCF of 1010,5870 is 10 .
LCM of 984,3732 is 306024.
The greatest common factor of 1010/984,5870/3732 = [GCF of 1010,5870]/[LCM of 984,3732]= 10/306024
Therefore, the GCF of 1010/984,5870/3732 is 10/306024.
To find the highest common factor of 1010,5870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010
The factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870
The HCF of 1010,5870 is 10.
Lets's calculate GCF of 1010,5870
| 2 | 1010, 5870 |
| 5 | 505, 2935 |
| 101, 587 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1010,5870 By Matching Biggest Common Factor Method
Now, list down the factors of 1010
:1,2,5,10,101,202,505,1010
Now, list down the factors of 5870
:1,2,5,10,587,1174,2935,5870
Greatest Common Factor
We found the factors 1010,5870 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,5870 is 10.
Lets's calculate LCM of 984,3732
| 2 | 984, 3732 |
| 2 | 492, 1866 |
| 3 | 246, 933 |
| 82, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 311 = 306024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/306024
Therefore, the GCF of Fractions 1010/984,5870/3732 is 10/306024
Least Common Multiple of 984,3732 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 984,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,3732) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(984,3732) x common factors =12 x 1 = 12
LCM(984,3732) = ( 984 × 3732 ) / 12
LCM(984,3732) = 3672288 / 12
LCM(984,3732) = 306024
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FAQs on GCF of Fractions of 1010/984, 5870/3732
1. What is the HCF of 1010,5870?
The HCF of 1010,5870 is 10
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 1010/984, 5870/3732?
Answer: GCF of Numerators as per given numbers 1010/984, 5870/3732 is
GCF of Numerators i.e. for 1010,5870 is 10
LCM of denominators i.e. for 984,3732 is 306024.
Thus, GCF of Fractions is 10/306024.Finally, GCF of Fractions for 1010/984, 5870/3732 is 10/306024.