GCF of 4586/102, 9221/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4586/102, 9221/220 i.e 1/11220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4586/102, 9221/220.
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 4586/102,9221/220?
Given fractions are 4586/102,9221/220
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 4586/102,9221/220, numerators are 4586,9221
Denominators are 102,220
The GCF of 4586,9221 is 1 .
LCM of 102,220 is 11220.
The greatest common factor of 4586/102,9221/220 = [GCF of 4586,9221]/[LCM of 102,220]= 1/11220
Therefore, the GCF of 4586/102,9221/220 is 1/11220.
To find the highest common factor of 4586,9221, we have to find the factors of both numbers and list the highest common factor.
The factors of 4586 are 1, 2, 2293, 4586
The factors of 9221 are 1, 9221
The HCF of 4586,9221 is 1.
Lets's calculate GCF of 4586,9221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4586,9221 By Matching Biggest Common Factor Method
Now, list down the factors of 4586
:1,2,2293,4586
Now, list down the factors of 9221
:1,9221
Greatest Common Factor
We found the factors 4586,9221 . The biggest common factor number is the GCF number.
So the greatest common factor 4586,9221 is 1.
Lets's calculate LCM of 102,220
| 2 | 102, 220 |
| 51, 110 |
∴ So the LCM of the given numbers is 2 x 51 x 110 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11220
Therefore, the GCF of Fractions 4586/102,9221/220 is 1/11220
Least Common Multiple of 102,220 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 102,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,220) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,220) x common factors =2 x 1 = 2
LCM(102,220) = ( 102 × 220 ) / 2
LCM(102,220) = 22440 / 2
LCM(102,220) = 11220
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FAQs on GCF of Fractions of 4586/102, 9221/220
1. What is the HCF of 4586,9221?
The HCF of 4586,9221 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 4586/102, 9221/220?
Answer: GCF of Numerators as per given numbers 4586/102, 9221/220 is
GCF of Numerators i.e. for 4586,9221 is 1
LCM of denominators i.e. for 102,220 is 11220.
Thus, GCF of Fractions is 1/11220.Finally, GCF of Fractions for 4586/102, 9221/220 is 1/11220.