GCF of 4646/965, 7015/2236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4646/965, 7015/2236 i.e 23/2157740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4646/965, 7015/2236.
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 4646/965,7015/2236?
Given fractions are 4646/965,7015/2236
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 4646/965,7015/2236, numerators are 4646,7015
Denominators are 965,2236
The GCF of 4646,7015 is 23 .
LCM of 965,2236 is 2157740.
The greatest common factor of 4646/965,7015/2236 = [GCF of 4646,7015]/[LCM of 965,2236]= 23/2157740
Therefore, the GCF of 4646/965,7015/2236 is 23/2157740.
To find the highest common factor of 4646,7015, we have to find the factors of both numbers and list the highest common factor.
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015
The HCF of 4646,7015 is 23.
Lets's calculate GCF of 4646,7015
| 23 | 4646, 7015 |
| 202, 305 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4646,7015 By Matching Biggest Common Factor Method
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Now, list down the factors of 7015
:1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors 4646,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 4646,7015 is 23.
Lets's calculate LCM of 965,2236
Given numbers has no common factors except 1. So, there LCM is their product i.e 2157740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2157740
Therefore, the GCF of Fractions 4646/965,7015/2236 is 23/2157740
Least Common Multiple of 965,2236 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 965,2236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,2236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,2236) x common factors =1 x 1 = 1
LCM(965,2236) = ( 965 × 2236 ) / 1
LCM(965,2236) = 2157740 / 1
LCM(965,2236) = 2157740
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FAQs on GCF of Fractions of 4646/965, 7015/2236
1. What is the HCF of 4646,7015?
The HCF of 4646,7015 is 23
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 4646/965, 7015/2236?
Answer: GCF of Numerators as per given numbers 4646/965, 7015/2236 is
GCF of Numerators i.e. for 4646,7015 is 23
LCM of denominators i.e. for 965,2236 is 2157740.
Thus, GCF of Fractions is 23/2157740.Finally, GCF of Fractions for 4646/965, 7015/2236 is 23/2157740.