GCF of 2217/194, 1520/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2217/194, 1520/200 i.e 1/19400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2217/194, 1520/200.
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 2217/194,1520/200?
Given fractions are 2217/194,1520/200
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 2217/194,1520/200, numerators are 2217,1520
Denominators are 194,200
The GCF of 2217,1520 is 1 .
LCM of 194,200 is 19400.
The greatest common factor of 2217/194,1520/200 = [GCF of 2217,1520]/[LCM of 194,200]= 1/19400
Therefore, the GCF of 2217/194,1520/200 is 1/19400.
To find the highest common factor of 2217,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 2217 are 1, 3, 739, 2217
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 2217,1520 is 1.
Lets's calculate GCF of 2217,1520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2217,1520 By Matching Biggest Common Factor Method
Now, list down the factors of 2217
:1,3,739,2217
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 2217,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 2217,1520 is 1.
Lets's calculate LCM of 194,200
| 2 | 194, 200 |
| 97, 100 |
∴ So the LCM of the given numbers is 2 x 97 x 100 = 19400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19400
Therefore, the GCF of Fractions 2217/194,1520/200 is 1/19400
Least Common Multiple of 194,200 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 194,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,200) x common factors =2 x 1 = 2
LCM(194,200) = ( 194 × 200 ) / 2
LCM(194,200) = 38800 / 2
LCM(194,200) = 19400
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FAQs on GCF of Fractions of 2217/194, 1520/200
1. What is the HCF of 2217,1520?
The HCF of 2217,1520 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 2217/194, 1520/200?
Answer: GCF of Numerators as per given numbers 2217/194, 1520/200 is
GCF of Numerators i.e. for 2217,1520 is 1
LCM of denominators i.e. for 194,200 is 19400.
Thus, GCF of Fractions is 1/19400.Finally, GCF of Fractions for 2217/194, 1520/200 is 1/19400.