GCF of 4597/406, 2797/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4597/406, 2797/704 i.e 1/142912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4597/406, 2797/704.
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 4597/406,2797/704?
Given fractions are 4597/406,2797/704
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 4597/406,2797/704, numerators are 4597,2797
Denominators are 406,704
The GCF of 4597,2797 is 1 .
LCM of 406,704 is 142912.
The greatest common factor of 4597/406,2797/704 = [GCF of 4597,2797]/[LCM of 406,704]= 1/142912
Therefore, the GCF of 4597/406,2797/704 is 1/142912.
To find the highest common factor of 4597,2797, we have to find the factors of both numbers and list the highest common factor.
The factors of 4597 are 1, 4597
The factors of 2797 are 1, 2797
The HCF of 4597,2797 is 1.
Lets's calculate GCF of 4597,2797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4597,2797 By Matching Biggest Common Factor Method
Now, list down the factors of 4597
:1,4597
Now, list down the factors of 2797
:1,2797
Greatest Common Factor
We found the factors 4597,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 4597,2797 is 1.
Lets's calculate LCM of 406,704
| 2 | 406, 704 |
| 203, 352 |
∴ So the LCM of the given numbers is 2 x 203 x 352 = 142912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142912
Therefore, the GCF of Fractions 4597/406,2797/704 is 1/142912
Least Common Multiple of 406,704 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 406,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,704) x common factors =2 x 1 = 2
LCM(406,704) = ( 406 × 704 ) / 2
LCM(406,704) = 285824 / 2
LCM(406,704) = 142912
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FAQs on GCF of Fractions of 4597/406, 2797/704
1. What is the HCF of 4597,2797?
The HCF of 4597,2797 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 4597/406, 2797/704?
Answer: GCF of Numerators as per given numbers 4597/406, 2797/704 is
GCF of Numerators i.e. for 4597,2797 is 1
LCM of denominators i.e. for 406,704 is 142912.
Thus, GCF of Fractions is 1/142912.Finally, GCF of Fractions for 4597/406, 2797/704 is 1/142912.