GCF of 8702/293, 6287/5109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8702/293, 6287/5109 i.e 1/1496937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8702/293, 6287/5109.
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 8702/293,6287/5109?
Given fractions are 8702/293,6287/5109
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 8702/293,6287/5109, numerators are 8702,6287
Denominators are 293,5109
The GCF of 8702,6287 is 1 .
LCM of 293,5109 is 1496937.
The greatest common factor of 8702/293,6287/5109 = [GCF of 8702,6287]/[LCM of 293,5109]= 1/1496937
Therefore, the GCF of 8702/293,6287/5109 is 1/1496937.
To find the highest common factor of 8702,6287, we have to find the factors of both numbers and list the highest common factor.
The factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The factors of 6287 are 1, 6287
The HCF of 8702,6287 is 1.
Lets's calculate GCF of 8702,6287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8702,6287 By Matching Biggest Common Factor Method
Now, list down the factors of 8702
:1,2,19,38,229,458,4351,8702
Now, list down the factors of 6287
:1,6287
Greatest Common Factor
We found the factors 8702,6287 . The biggest common factor number is the GCF number.
So the greatest common factor 8702,6287 is 1.
Lets's calculate LCM of 293,5109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1496937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1496937
Therefore, the GCF of Fractions 8702/293,6287/5109 is 1/1496937
Least Common Multiple of 293,5109 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 293,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,5109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,5109) x common factors =1 x 1 = 1
LCM(293,5109) = ( 293 × 5109 ) / 1
LCM(293,5109) = 1496937 / 1
LCM(293,5109) = 1496937
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FAQs on GCF of Fractions of 8702/293, 6287/5109
1. What is the HCF of 8702,6287?
The HCF of 8702,6287 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 8702/293, 6287/5109?
Answer: GCF of Numerators as per given numbers 8702/293, 6287/5109 is
GCF of Numerators i.e. for 8702,6287 is 1
LCM of denominators i.e. for 293,5109 is 1496937.
Thus, GCF of Fractions is 1/1496937.Finally, GCF of Fractions for 8702/293, 6287/5109 is 1/1496937.