GCF of 20/402, 5765/4239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/402, 5765/4239 i.e 5/568026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/402, 5765/4239.
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 20/402,5765/4239?
Given fractions are 20/402,5765/4239
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 20/402,5765/4239, numerators are 20,5765
Denominators are 402,4239
The GCF of 20,5765 is 5 .
LCM of 402,4239 is 568026.
The greatest common factor of 20/402,5765/4239 = [GCF of 20,5765]/[LCM of 402,4239]= 5/568026
Therefore, the GCF of 20/402,5765/4239 is 5/568026.
To find the highest common factor of 20,5765, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 5765 are 1, 5, 1153, 5765
The HCF of 20,5765 is 5.
Lets's calculate GCF of 20,5765
| 5 | 20, 5765 |
| 4, 1153 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 20,5765 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 5765
:1,5,1153,5765
Greatest Common Factor
We found the factors 20,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5765 is 5.
Lets's calculate LCM of 402,4239
| 3 | 402, 4239 |
| 134, 1413 |
∴ So the LCM of the given numbers is 3 x 134 x 1413 = 568026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/568026
Therefore, the GCF of Fractions 20/402,5765/4239 is 5/568026
Least Common Multiple of 402,4239 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 402,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,4239) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(402,4239) x common factors =3 x 1 = 3
LCM(402,4239) = ( 402 × 4239 ) / 3
LCM(402,4239) = 1704078 / 3
LCM(402,4239) = 568026
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FAQs on GCF of Fractions of 20/402, 5765/4239
1. What is the HCF of 20,5765?
The HCF of 20,5765 is 5
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 20/402, 5765/4239?
Answer: GCF of Numerators as per given numbers 20/402, 5765/4239 is
GCF of Numerators i.e. for 20,5765 is 5
LCM of denominators i.e. for 402,4239 is 568026.
Thus, GCF of Fractions is 5/568026.Finally, GCF of Fractions for 20/402, 5765/4239 is 5/568026.