GCF of 2818/214, 2660/9204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2818/214, 2660/9204 i.e 2/984828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2818/214, 2660/9204.
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 2818/214,2660/9204?
Given fractions are 2818/214,2660/9204
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 2818/214,2660/9204, numerators are 2818,2660
Denominators are 214,9204
The GCF of 2818,2660 is 2 .
LCM of 214,9204 is 984828.
The greatest common factor of 2818/214,2660/9204 = [GCF of 2818,2660]/[LCM of 214,9204]= 2/984828
Therefore, the GCF of 2818/214,2660/9204 is 2/984828.
To find the highest common factor of 2818,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 2818 are 1, 2, 1409, 2818
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 2818,2660 is 2.
Lets's calculate GCF of 2818,2660
| 2 | 2818, 2660 |
| 1409, 1330 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2818,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 2818
:1,2,1409,2818
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 2818,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 2818,2660 is 2.
Lets's calculate LCM of 214,9204
| 2 | 214, 9204 |
| 107, 4602 |
∴ So the LCM of the given numbers is 2 x 107 x 4602 = 984828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/984828
Therefore, the GCF of Fractions 2818/214,2660/9204 is 2/984828
Least Common Multiple of 214,9204 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 214,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,9204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,9204) x common factors =2 x 1 = 2
LCM(214,9204) = ( 214 × 9204 ) / 2
LCM(214,9204) = 1969656 / 2
LCM(214,9204) = 984828
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FAQs on GCF of Fractions of 2818/214, 2660/9204
1. What is the HCF of 2818,2660?
The HCF of 2818,2660 is 2
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 2818/214, 2660/9204?
Answer: GCF of Numerators as per given numbers 2818/214, 2660/9204 is
GCF of Numerators i.e. for 2818,2660 is 2
LCM of denominators i.e. for 214,9204 is 984828.
Thus, GCF of Fractions is 2/984828.Finally, GCF of Fractions for 2818/214, 2660/9204 is 2/984828.