GCF of 2205/573, 9970/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2205/573, 9970/467 i.e 5/267591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2205/573, 9970/467.
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 2205/573,9970/467?
Given fractions are 2205/573,9970/467
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 2205/573,9970/467, numerators are 2205,9970
Denominators are 573,467
The GCF of 2205,9970 is 5 .
LCM of 573,467 is 267591.
The greatest common factor of 2205/573,9970/467 = [GCF of 2205,9970]/[LCM of 573,467]= 5/267591
Therefore, the GCF of 2205/573,9970/467 is 5/267591.
To find the highest common factor of 2205,9970, we have to find the factors of both numbers and list the highest common factor.
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The HCF of 2205,9970 is 5.
Lets's calculate GCF of 2205,9970
| 5 | 2205, 9970 |
| 441, 1994 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2205,9970 By Matching Biggest Common Factor Method
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 2205,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 2205,9970 is 5.
Lets's calculate LCM of 573,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 267591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/267591
Therefore, the GCF of Fractions 2205/573,9970/467 is 5/267591
Least Common Multiple of 573,467 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 573,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,467) x common factors =1 x 1 = 1
LCM(573,467) = ( 573 × 467 ) / 1
LCM(573,467) = 267591 / 1
LCM(573,467) = 267591
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FAQs on GCF of Fractions of 2205/573, 9970/467
1. What is the HCF of 2205,9970?
The HCF of 2205,9970 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 2205/573, 9970/467?
Answer: GCF of Numerators as per given numbers 2205/573, 9970/467 is
GCF of Numerators i.e. for 2205,9970 is 5
LCM of denominators i.e. for 573,467 is 267591.
Thus, GCF of Fractions is 5/267591.Finally, GCF of Fractions for 2205/573, 9970/467 is 5/267591.