GCF of 220/202, 461/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/202, 461/248 i.e 1/25048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/202, 461/248.
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 220/202,461/248?
Given fractions are 220/202,461/248
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 220/202,461/248, numerators are 220,461
Denominators are 202,248
The GCF of 220,461 is 1 .
LCM of 202,248 is 25048.
The greatest common factor of 220/202,461/248 = [GCF of 220,461]/[LCM of 202,248]= 1/25048
Therefore, the GCF of 220/202,461/248 is 1/25048.
To find the highest common factor of 220,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 461 are 1, 461
The HCF of 220,461 is 1.
Lets's calculate GCF of 220,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 220,461 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 220,461 . The biggest common factor number is the GCF number.
So the greatest common factor 220,461 is 1.
Lets's calculate LCM of 202,248
| 2 | 202, 248 |
| 101, 124 |
∴ So the LCM of the given numbers is 2 x 101 x 124 = 25048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25048
Therefore, the GCF of Fractions 220/202,461/248 is 1/25048
Least Common Multiple of 202,248 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 202,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,248) x common factors =2 x 1 = 2
LCM(202,248) = ( 202 × 248 ) / 2
LCM(202,248) = 50096 / 2
LCM(202,248) = 25048
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FAQs on GCF of Fractions of 220/202, 461/248
1. What is the HCF of 220,461?
The HCF of 220,461 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 220/202, 461/248?
Answer: GCF of Numerators as per given numbers 220/202, 461/248 is
GCF of Numerators i.e. for 220,461 is 1
LCM of denominators i.e. for 202,248 is 25048.
Thus, GCF of Fractions is 1/25048.Finally, GCF of Fractions for 220/202, 461/248 is 1/25048.