GCF of 4574/684, 4559/7017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4574/684, 4559/7017 i.e 1/1599876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4574/684, 4559/7017.
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 4574/684,4559/7017?
Given fractions are 4574/684,4559/7017
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 4574/684,4559/7017, numerators are 4574,4559
Denominators are 684,7017
The GCF of 4574,4559 is 1 .
LCM of 684,7017 is 1599876.
The greatest common factor of 4574/684,4559/7017 = [GCF of 4574,4559]/[LCM of 684,7017]= 1/1599876
Therefore, the GCF of 4574/684,4559/7017 is 1/1599876.
To find the highest common factor of 4574,4559, we have to find the factors of both numbers and list the highest common factor.
The factors of 4574 are 1, 2, 2287, 4574
The factors of 4559 are 1, 47, 97, 4559
The HCF of 4574,4559 is 1.
Lets's calculate GCF of 4574,4559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4574,4559 By Matching Biggest Common Factor Method
Now, list down the factors of 4574
:1,2,2287,4574
Now, list down the factors of 4559
:1,47,97,4559
Greatest Common Factor
We found the factors 4574,4559 . The biggest common factor number is the GCF number.
So the greatest common factor 4574,4559 is 1.
Lets's calculate LCM of 684,7017
| 3 | 684, 7017 |
| 228, 2339 |
∴ So the LCM of the given numbers is 3 x 228 x 2339 = 1599876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1599876
Therefore, the GCF of Fractions 4574/684,4559/7017 is 1/1599876
Least Common Multiple of 684,7017 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 684,7017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,7017) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(684,7017) x common factors =3 x 1 = 3
LCM(684,7017) = ( 684 × 7017 ) / 3
LCM(684,7017) = 4799628 / 3
LCM(684,7017) = 1599876
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FAQs on GCF of Fractions of 4574/684, 4559/7017
1. What is the HCF of 4574,4559?
The HCF of 4574,4559 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 4574/684, 4559/7017?
Answer: GCF of Numerators as per given numbers 4574/684, 4559/7017 is
GCF of Numerators i.e. for 4574,4559 is 1
LCM of denominators i.e. for 684,7017 is 1599876.
Thus, GCF of Fractions is 1/1599876.Finally, GCF of Fractions for 4574/684, 4559/7017 is 1/1599876.