GCF of 2436/501, 1015/7646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2436/501, 1015/7646 i.e 203/3830646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/501, 1015/7646.
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 2436/501,1015/7646?
Given fractions are 2436/501,1015/7646
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 2436/501,1015/7646, numerators are 2436,1015
Denominators are 501,7646
The GCF of 2436,1015 is 203 .
LCM of 501,7646 is 3830646.
The greatest common factor of 2436/501,1015/7646 = [GCF of 2436,1015]/[LCM of 501,7646]= 203/3830646
Therefore, the GCF of 2436/501,1015/7646 is 203/3830646.
To find the highest common factor of 2436,1015, we have to find the factors of both numbers and list the highest common factor.
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
The factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015
The HCF of 2436,1015 is 203.
Lets's calculate GCF of 2436,1015
| 7 | 2436, 1015 |
| 29 | 348, 145 |
| 12, 5 |
∴ So the GCF of the given numbers is 7 x 29 = 203
Greatest Common Factor of 2436,1015 By Matching Biggest Common Factor Method
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Now, list down the factors of 1015
:1,5,7,29,35,145,203,1015
Greatest Common Factor
We found the factors 2436,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,1015 is 203.
Lets's calculate LCM of 501,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 3830646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 203/3830646
Therefore, the GCF of Fractions 2436/501,1015/7646 is 203/3830646
Least Common Multiple of 501,7646 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 501,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,7646) x common factors =1 x 1 = 1
LCM(501,7646) = ( 501 × 7646 ) / 1
LCM(501,7646) = 3830646 / 1
LCM(501,7646) = 3830646
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FAQs on GCF of Fractions of 2436/501, 1015/7646
1. What is the HCF of 2436,1015?
The HCF of 2436,1015 is 203
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 2436/501, 1015/7646?
Answer: GCF of Numerators as per given numbers 2436/501, 1015/7646 is
GCF of Numerators i.e. for 2436,1015 is 203
LCM of denominators i.e. for 501,7646 is 3830646.
Thus, GCF of Fractions is 203/3830646.Finally, GCF of Fractions for 2436/501, 1015/7646 is 203/3830646.