GCF of 4993/430, 7064/3642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4993/430, 7064/3642 i.e 1/783030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4993/430, 7064/3642.
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 4993/430,7064/3642?
Given fractions are 4993/430,7064/3642
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 4993/430,7064/3642, numerators are 4993,7064
Denominators are 430,3642
The GCF of 4993,7064 is 1 .
LCM of 430,3642 is 783030.
The greatest common factor of 4993/430,7064/3642 = [GCF of 4993,7064]/[LCM of 430,3642]= 1/783030
Therefore, the GCF of 4993/430,7064/3642 is 1/783030.
To find the highest common factor of 4993,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 4993 are 1, 4993
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 4993,7064 is 1.
Lets's calculate GCF of 4993,7064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4993,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 4993
:1,4993
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 4993,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 4993,7064 is 1.
Lets's calculate LCM of 430,3642
| 2 | 430, 3642 |
| 215, 1821 |
∴ So the LCM of the given numbers is 2 x 215 x 1821 = 783030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783030
Therefore, the GCF of Fractions 4993/430,7064/3642 is 1/783030
Least Common Multiple of 430,3642 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 430,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,3642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,3642) x common factors =2 x 1 = 2
LCM(430,3642) = ( 430 × 3642 ) / 2
LCM(430,3642) = 1566060 / 2
LCM(430,3642) = 783030
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FAQs on GCF of Fractions of 4993/430, 7064/3642
1. What is the HCF of 4993,7064?
The HCF of 4993,7064 is 1
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 4993/430, 7064/3642?
Answer: GCF of Numerators as per given numbers 4993/430, 7064/3642 is
GCF of Numerators i.e. for 4993,7064 is 1
LCM of denominators i.e. for 430,3642 is 783030.
Thus, GCF of Fractions is 1/783030.Finally, GCF of Fractions for 4993/430, 7064/3642 is 1/783030.