GCF of 2015/505, 8742/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2015/505, 8742/987 i.e 31/498435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2015/505, 8742/987.
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 2015/505,8742/987?
Given fractions are 2015/505,8742/987
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 2015/505,8742/987, numerators are 2015,8742
Denominators are 505,987
The GCF of 2015,8742 is 31 .
LCM of 505,987 is 498435.
The greatest common factor of 2015/505,8742/987 = [GCF of 2015,8742]/[LCM of 505,987]= 31/498435
Therefore, the GCF of 2015/505,8742/987 is 31/498435.
To find the highest common factor of 2015,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 2015,8742 is 31.
Lets's calculate GCF of 2015,8742
| 31 | 2015, 8742 |
| 65, 282 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2015,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 2015
:1,5,13,31,65,155,403,2015
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 2015,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 2015,8742 is 31.
Lets's calculate LCM of 505,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 498435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/498435
Therefore, the GCF of Fractions 2015/505,8742/987 is 31/498435
Least Common Multiple of 505,987 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 505,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,987) x common factors =1 x 1 = 1
LCM(505,987) = ( 505 × 987 ) / 1
LCM(505,987) = 498435 / 1
LCM(505,987) = 498435
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FAQs on GCF of Fractions of 2015/505, 8742/987
1. What is the HCF of 2015,8742?
The HCF of 2015,8742 is 31
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 2015/505, 8742/987?
Answer: GCF of Numerators as per given numbers 2015/505, 8742/987 is
GCF of Numerators i.e. for 2015,8742 is 31
LCM of denominators i.e. for 505,987 is 498435.
Thus, GCF of Fractions is 31/498435.Finally, GCF of Fractions for 2015/505, 8742/987 is 31/498435.