GCF of 4632/463, 7186/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4632/463, 7186/764 i.e 2/353732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4632/463, 7186/764.
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 4632/463,7186/764?
Given fractions are 4632/463,7186/764
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 4632/463,7186/764, numerators are 4632,7186
Denominators are 463,764
The GCF of 4632,7186 is 2 .
LCM of 463,764 is 353732.
The greatest common factor of 4632/463,7186/764 = [GCF of 4632,7186]/[LCM of 463,764]= 2/353732
Therefore, the GCF of 4632/463,7186/764 is 2/353732.
To find the highest common factor of 4632,7186, we have to find the factors of both numbers and list the highest common factor.
The factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
The factors of 7186 are 1, 2, 3593, 7186
The HCF of 4632,7186 is 2.
Lets's calculate GCF of 4632,7186
| 2 | 4632, 7186 |
| 2316, 3593 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4632,7186 By Matching Biggest Common Factor Method
Now, list down the factors of 4632
:1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Now, list down the factors of 7186
:1,2,3593,7186
Greatest Common Factor
We found the factors 4632,7186 . The biggest common factor number is the GCF number.
So the greatest common factor 4632,7186 is 2.
Lets's calculate LCM of 463,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 353732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353732
Therefore, the GCF of Fractions 4632/463,7186/764 is 2/353732
Least Common Multiple of 463,764 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 463,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,764) x common factors =1 x 1 = 1
LCM(463,764) = ( 463 × 764 ) / 1
LCM(463,764) = 353732 / 1
LCM(463,764) = 353732
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FAQs on GCF of Fractions of 4632/463, 7186/764
1. What is the HCF of 4632,7186?
The HCF of 4632,7186 is 2
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 4632/463, 7186/764?
Answer: GCF of Numerators as per given numbers 4632/463, 7186/764 is
GCF of Numerators i.e. for 4632,7186 is 2
LCM of denominators i.e. for 463,764 is 353732.
Thus, GCF of Fractions is 2/353732.Finally, GCF of Fractions for 4632/463, 7186/764 is 2/353732.