GCF of 2202/585, 2421/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2202/585, 2421/669 i.e 3/130455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2202/585, 2421/669.
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 2202/585,2421/669?
Given fractions are 2202/585,2421/669
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 2202/585,2421/669, numerators are 2202,2421
Denominators are 585,669
The GCF of 2202,2421 is 3 .
LCM of 585,669 is 130455.
The greatest common factor of 2202/585,2421/669 = [GCF of 2202,2421]/[LCM of 585,669]= 3/130455
Therefore, the GCF of 2202/585,2421/669 is 3/130455.
To find the highest common factor of 2202,2421, we have to find the factors of both numbers and list the highest common factor.
The factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The HCF of 2202,2421 is 3.
Lets's calculate GCF of 2202,2421
| 3 | 2202, 2421 |
| 734, 807 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2202,2421 By Matching Biggest Common Factor Method
Now, list down the factors of 2202
:1,2,3,6,367,734,1101,2202
Now, list down the factors of 2421
:1,3,9,269,807,2421
Greatest Common Factor
We found the factors 2202,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 2202,2421 is 3.
Lets's calculate LCM of 585,669
| 3 | 585, 669 |
| 195, 223 |
∴ So the LCM of the given numbers is 3 x 195 x 223 = 130455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130455
Therefore, the GCF of Fractions 2202/585,2421/669 is 3/130455
Least Common Multiple of 585,669 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 585,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,669) x common factors =3 x 1 = 3
LCM(585,669) = ( 585 × 669 ) / 3
LCM(585,669) = 391365 / 3
LCM(585,669) = 130455
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FAQs on GCF of Fractions of 2202/585, 2421/669
1. What is the HCF of 2202,2421?
The HCF of 2202,2421 is 3
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 2202/585, 2421/669?
Answer: GCF of Numerators as per given numbers 2202/585, 2421/669 is
GCF of Numerators i.e. for 2202,2421 is 3
LCM of denominators i.e. for 585,669 is 130455.
Thus, GCF of Fractions is 3/130455.Finally, GCF of Fractions for 2202/585, 2421/669 is 3/130455.