GCF of 5702/459, 8601/583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5702/459, 8601/583 i.e 1/267597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5702/459, 8601/583.
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 5702/459,8601/583?
Given fractions are 5702/459,8601/583
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 5702/459,8601/583, numerators are 5702,8601
Denominators are 459,583
The GCF of 5702,8601 is 1 .
LCM of 459,583 is 267597.
The greatest common factor of 5702/459,8601/583 = [GCF of 5702,8601]/[LCM of 459,583]= 1/267597
Therefore, the GCF of 5702/459,8601/583 is 1/267597.
To find the highest common factor of 5702,8601, we have to find the factors of both numbers and list the highest common factor.
The factors of 5702 are 1, 2, 2851, 5702
The factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601
The HCF of 5702,8601 is 1.
Lets's calculate GCF of 5702,8601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5702,8601 By Matching Biggest Common Factor Method
Now, list down the factors of 5702
:1,2,2851,5702
Now, list down the factors of 8601
:1,3,47,61,141,183,2867,8601
Greatest Common Factor
We found the factors 5702,8601 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,8601 is 1.
Lets's calculate LCM of 459,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 267597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267597
Therefore, the GCF of Fractions 5702/459,8601/583 is 1/267597
Least Common Multiple of 459,583 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 459,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,583) x common factors =1 x 1 = 1
LCM(459,583) = ( 459 × 583 ) / 1
LCM(459,583) = 267597 / 1
LCM(459,583) = 267597
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FAQs on GCF of Fractions of 5702/459, 8601/583
1. What is the HCF of 5702,8601?
The HCF of 5702,8601 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 5702/459, 8601/583?
Answer: GCF of Numerators as per given numbers 5702/459, 8601/583 is
GCF of Numerators i.e. for 5702,8601 is 1
LCM of denominators i.e. for 459,583 is 267597.
Thus, GCF of Fractions is 1/267597.Finally, GCF of Fractions for 5702/459, 8601/583 is 1/267597.