GCF of 2214/505, 9610/7274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2214/505, 9610/7274 i.e 2/3673370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2214/505, 9610/7274.
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 2214/505,9610/7274?
Given fractions are 2214/505,9610/7274
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 2214/505,9610/7274, numerators are 2214,9610
Denominators are 505,7274
The GCF of 2214,9610 is 2 .
LCM of 505,7274 is 3673370.
The greatest common factor of 2214/505,9610/7274 = [GCF of 2214,9610]/[LCM of 505,7274]= 2/3673370
Therefore, the GCF of 2214/505,9610/7274 is 2/3673370.
To find the highest common factor of 2214,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 2214,9610 is 2.
Lets's calculate GCF of 2214,9610
| 2 | 2214, 9610 |
| 1107, 4805 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2214,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 2214
:1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 2214,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 2214,9610 is 2.
Lets's calculate LCM of 505,7274
Given numbers has no common factors except 1. So, there LCM is their product i.e 3673370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3673370
Therefore, the GCF of Fractions 2214/505,9610/7274 is 2/3673370
Least Common Multiple of 505,7274 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 505,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,7274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,7274) x common factors =1 x 1 = 1
LCM(505,7274) = ( 505 × 7274 ) / 1
LCM(505,7274) = 3673370 / 1
LCM(505,7274) = 3673370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2214/505, 9610/7274
1. What is the HCF of 2214,9610?
The HCF of 2214,9610 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 2214/505, 9610/7274?
Answer: GCF of Numerators as per given numbers 2214/505, 9610/7274 is
GCF of Numerators i.e. for 2214,9610 is 2
LCM of denominators i.e. for 505,7274 is 3673370.
Thus, GCF of Fractions is 2/3673370.Finally, GCF of Fractions for 2214/505, 9610/7274 is 2/3673370.