GCF of 5096/285, 5207/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5096/285, 5207/571 i.e 1/162735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5096/285, 5207/571.
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 5096/285,5207/571?
Given fractions are 5096/285,5207/571
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 5096/285,5207/571, numerators are 5096,5207
Denominators are 285,571
The GCF of 5096,5207 is 1 .
LCM of 285,571 is 162735.
The greatest common factor of 5096/285,5207/571 = [GCF of 5096,5207]/[LCM of 285,571]= 1/162735
Therefore, the GCF of 5096/285,5207/571 is 1/162735.
To find the highest common factor of 5096,5207, we have to find the factors of both numbers and list the highest common factor.
The factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096
The factors of 5207 are 1, 41, 127, 5207
The HCF of 5096,5207 is 1.
Lets's calculate GCF of 5096,5207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5096,5207 By Matching Biggest Common Factor Method
Now, list down the factors of 5096
:1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096
Now, list down the factors of 5207
:1,41,127,5207
Greatest Common Factor
We found the factors 5096,5207 . The biggest common factor number is the GCF number.
So the greatest common factor 5096,5207 is 1.
Lets's calculate LCM of 285,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 162735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162735
Therefore, the GCF of Fractions 5096/285,5207/571 is 1/162735
Least Common Multiple of 285,571 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 285,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,571) x common factors =1 x 1 = 1
LCM(285,571) = ( 285 × 571 ) / 1
LCM(285,571) = 162735 / 1
LCM(285,571) = 162735
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FAQs on GCF of Fractions of 5096/285, 5207/571
1. What is the HCF of 5096,5207?
The HCF of 5096,5207 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 5096/285, 5207/571?
Answer: GCF of Numerators as per given numbers 5096/285, 5207/571 is
GCF of Numerators i.e. for 5096,5207 is 1
LCM of denominators i.e. for 285,571 is 162735.
Thus, GCF of Fractions is 1/162735.Finally, GCF of Fractions for 5096/285, 5207/571 is 1/162735.