GCF of 4266/82, 1409/760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4266/82, 1409/760 i.e 1/31160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4266/82, 1409/760.
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 4266/82,1409/760?
Given fractions are 4266/82,1409/760
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 4266/82,1409/760, numerators are 4266,1409
Denominators are 82,760
The GCF of 4266,1409 is 1 .
LCM of 82,760 is 31160.
The greatest common factor of 4266/82,1409/760 = [GCF of 4266,1409]/[LCM of 82,760]= 1/31160
Therefore, the GCF of 4266/82,1409/760 is 1/31160.
To find the highest common factor of 4266,1409, we have to find the factors of both numbers and list the highest common factor.
The factors of 4266 are 1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133, 4266
The factors of 1409 are 1, 1409
The HCF of 4266,1409 is 1.
Lets's calculate GCF of 4266,1409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4266,1409 By Matching Biggest Common Factor Method
Now, list down the factors of 4266
:1,2,3,6,9,18,27,54,79,158,237,474,711,1422,2133,4266
Now, list down the factors of 1409
:1,1409
Greatest Common Factor
We found the factors 4266,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 4266,1409 is 1.
Lets's calculate LCM of 82,760
| 2 | 82, 760 |
| 41, 380 |
∴ So the LCM of the given numbers is 2 x 41 x 380 = 31160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31160
Therefore, the GCF of Fractions 4266/82,1409/760 is 1/31160
Least Common Multiple of 82,760 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 82,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,760) x common factors =2 x 1 = 2
LCM(82,760) = ( 82 × 760 ) / 2
LCM(82,760) = 62320 / 2
LCM(82,760) = 31160
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FAQs on GCF of Fractions of 4266/82, 1409/760
1. What is the HCF of 4266,1409?
The HCF of 4266,1409 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 4266/82, 1409/760?
Answer: GCF of Numerators as per given numbers 4266/82, 1409/760 is
GCF of Numerators i.e. for 4266,1409 is 1
LCM of denominators i.e. for 82,760 is 31160.
Thus, GCF of Fractions is 1/31160.Finally, GCF of Fractions for 4266/82, 1409/760 is 1/31160.