GCF of 236/709, 470/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/709, 470/413 i.e 2/292817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/709, 470/413.
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 236/709,470/413?
Given fractions are 236/709,470/413
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 236/709,470/413, numerators are 236,470
Denominators are 709,413
The GCF of 236,470 is 2 .
LCM of 709,413 is 292817.
The greatest common factor of 236/709,470/413 = [GCF of 236,470]/[LCM of 709,413]= 2/292817
Therefore, the GCF of 236/709,470/413 is 2/292817.
To find the highest common factor of 236,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 236,470 is 2.
Lets's calculate GCF of 236,470
| 2 | 236, 470 |
| 118, 235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 236,470 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 236,470 . The biggest common factor number is the GCF number.
So the greatest common factor 236,470 is 2.
Lets's calculate LCM of 709,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 292817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/292817
Therefore, the GCF of Fractions 236/709,470/413 is 2/292817
Least Common Multiple of 709,413 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 709,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,413) x common factors =1 x 1 = 1
LCM(709,413) = ( 709 × 413 ) / 1
LCM(709,413) = 292817 / 1
LCM(709,413) = 292817
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FAQs on GCF of Fractions of 236/709, 470/413
1. What is the HCF of 236,470?
The HCF of 236,470 is 2
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 236/709, 470/413?
Answer: GCF of Numerators as per given numbers 236/709, 470/413 is
GCF of Numerators i.e. for 236,470 is 2
LCM of denominators i.e. for 709,413 is 292817.
Thus, GCF of Fractions is 2/292817.Finally, GCF of Fractions for 236/709, 470/413 is 2/292817.