GCF of 457/66, 220/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/66, 220/261 i.e 1/5742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/66, 220/261.
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 457/66,220/261?
Given fractions are 457/66,220/261
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 457/66,220/261, numerators are 457,220
Denominators are 66,261
The GCF of 457,220 is 1 .
LCM of 66,261 is 5742.
The greatest common factor of 457/66,220/261 = [GCF of 457,220]/[LCM of 66,261]= 1/5742
Therefore, the GCF of 457/66,220/261 is 1/5742.
To find the highest common factor of 457,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 457,220 is 1.
Lets's calculate GCF of 457,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,220 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 457,220 . The biggest common factor number is the GCF number.
So the greatest common factor 457,220 is 1.
Lets's calculate LCM of 66,261
| 3 | 66, 261 |
| 22, 87 |
∴ So the LCM of the given numbers is 3 x 22 x 87 = 5742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5742
Therefore, the GCF of Fractions 457/66,220/261 is 1/5742
Least Common Multiple of 66,261 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 66,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,261) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(66,261) x common factors =3 x 1 = 3
LCM(66,261) = ( 66 × 261 ) / 3
LCM(66,261) = 17226 / 3
LCM(66,261) = 5742
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 457/66, 220/261
1. What is the HCF of 457,220?
The HCF of 457,220 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 457/66, 220/261?
Answer: GCF of Numerators as per given numbers 457/66, 220/261 is
GCF of Numerators i.e. for 457,220 is 1
LCM of denominators i.e. for 66,261 is 5742.
Thus, GCF of Fractions is 1/5742.Finally, GCF of Fractions for 457/66, 220/261 is 1/5742.