GCF of 4630/869, 7238/8173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4630/869, 7238/8173 i.e 2/645667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4630/869, 7238/8173.
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 4630/869,7238/8173?
Given fractions are 4630/869,7238/8173
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 4630/869,7238/8173, numerators are 4630,7238
Denominators are 869,8173
The GCF of 4630,7238 is 2 .
LCM of 869,8173 is 645667.
The greatest common factor of 4630/869,7238/8173 = [GCF of 4630,7238]/[LCM of 869,8173]= 2/645667
Therefore, the GCF of 4630/869,7238/8173 is 2/645667.
To find the highest common factor of 4630,7238, we have to find the factors of both numbers and list the highest common factor.
The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630
The factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238
The HCF of 4630,7238 is 2.
Lets's calculate GCF of 4630,7238
| 2 | 4630, 7238 |
| 2315, 3619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4630,7238 By Matching Biggest Common Factor Method
Now, list down the factors of 4630
:1,2,5,10,463,926,2315,4630
Now, list down the factors of 7238
:1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Greatest Common Factor
We found the factors 4630,7238 . The biggest common factor number is the GCF number.
So the greatest common factor 4630,7238 is 2.
Lets's calculate LCM of 869,8173
| 11 | 869, 8173 |
| 79, 743 |
∴ So the LCM of the given numbers is 11 x 79 x 743 = 645667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/645667
Therefore, the GCF of Fractions 4630/869,7238/8173 is 2/645667
Least Common Multiple of 869,8173 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 869,8173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,8173) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(869,8173) x common factors =11 x 1 = 11
LCM(869,8173) = ( 869 × 8173 ) / 11
LCM(869,8173) = 7102337 / 11
LCM(869,8173) = 645667
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FAQs on GCF of Fractions of 4630/869, 7238/8173
1. What is the HCF of 4630,7238?
The HCF of 4630,7238 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 4630/869, 7238/8173?
Answer: GCF of Numerators as per given numbers 4630/869, 7238/8173 is
GCF of Numerators i.e. for 4630,7238 is 2
LCM of denominators i.e. for 869,8173 is 645667.
Thus, GCF of Fractions is 2/645667.Finally, GCF of Fractions for 4630/869, 7238/8173 is 2/645667.