GCF of 530/509, 2870/2564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 530/509, 2870/2564 i.e 10/1305076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/509, 2870/2564.
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 530/509,2870/2564?
Given fractions are 530/509,2870/2564
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 530/509,2870/2564, numerators are 530,2870
Denominators are 509,2564
The GCF of 530,2870 is 10 .
LCM of 509,2564 is 1305076.
The greatest common factor of 530/509,2870/2564 = [GCF of 530,2870]/[LCM of 509,2564]= 10/1305076
Therefore, the GCF of 530/509,2870/2564 is 10/1305076.
To find the highest common factor of 530,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 530,2870 is 10.
Lets's calculate GCF of 530,2870
| 2 | 530, 2870 |
| 5 | 265, 1435 |
| 53, 287 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 530,2870 By Matching Biggest Common Factor Method
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 530,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 530,2870 is 10.
Lets's calculate LCM of 509,2564
Given numbers has no common factors except 1. So, there LCM is their product i.e 1305076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1305076
Therefore, the GCF of Fractions 530/509,2870/2564 is 10/1305076
Least Common Multiple of 509,2564 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 509,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,2564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,2564) x common factors =1 x 1 = 1
LCM(509,2564) = ( 509 × 2564 ) / 1
LCM(509,2564) = 1305076 / 1
LCM(509,2564) = 1305076
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FAQs on GCF of Fractions of 530/509, 2870/2564
1. What is the HCF of 530,2870?
The HCF of 530,2870 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 530/509, 2870/2564?
Answer: GCF of Numerators as per given numbers 530/509, 2870/2564 is
GCF of Numerators i.e. for 530,2870 is 10
LCM of denominators i.e. for 509,2564 is 1305076.
Thus, GCF of Fractions is 10/1305076.Finally, GCF of Fractions for 530/509, 2870/2564 is 10/1305076.