GCF of 7653/206, 7064/4472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7653/206, 7064/4472 i.e 1/460616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7653/206, 7064/4472.
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 7653/206,7064/4472?
Given fractions are 7653/206,7064/4472
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 7653/206,7064/4472, numerators are 7653,7064
Denominators are 206,4472
The GCF of 7653,7064 is 1 .
LCM of 206,4472 is 460616.
The greatest common factor of 7653/206,7064/4472 = [GCF of 7653,7064]/[LCM of 206,4472]= 1/460616
Therefore, the GCF of 7653/206,7064/4472 is 1/460616.
To find the highest common factor of 7653,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 7653 are 1, 3, 2551, 7653
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 7653,7064 is 1.
Lets's calculate GCF of 7653,7064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7653,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 7653
:1,3,2551,7653
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 7653,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 7653,7064 is 1.
Lets's calculate LCM of 206,4472
| 2 | 206, 4472 |
| 103, 2236 |
∴ So the LCM of the given numbers is 2 x 103 x 2236 = 460616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460616
Therefore, the GCF of Fractions 7653/206,7064/4472 is 1/460616
Least Common Multiple of 206,4472 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 206,4472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,4472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,4472) x common factors =2 x 1 = 2
LCM(206,4472) = ( 206 × 4472 ) / 2
LCM(206,4472) = 921232 / 2
LCM(206,4472) = 460616
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FAQs on GCF of Fractions of 7653/206, 7064/4472
1. What is the HCF of 7653,7064?
The HCF of 7653,7064 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 7653/206, 7064/4472?
Answer: GCF of Numerators as per given numbers 7653/206, 7064/4472 is
GCF of Numerators i.e. for 7653,7064 is 1
LCM of denominators i.e. for 206,4472 is 460616.
Thus, GCF of Fractions is 1/460616.Finally, GCF of Fractions for 7653/206, 7064/4472 is 1/460616.