GCF of 7217/994, 6394/1910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7217/994, 6394/1910 i.e 1/949270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7217/994, 6394/1910.
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 7217/994,6394/1910?
Given fractions are 7217/994,6394/1910
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 7217/994,6394/1910, numerators are 7217,6394
Denominators are 994,1910
The GCF of 7217,6394 is 1 .
LCM of 994,1910 is 949270.
The greatest common factor of 7217/994,6394/1910 = [GCF of 7217,6394]/[LCM of 994,1910]= 1/949270
Therefore, the GCF of 7217/994,6394/1910 is 1/949270.
To find the highest common factor of 7217,6394, we have to find the factors of both numbers and list the highest common factor.
The factors of 7217 are 1, 7, 1031, 7217
The factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394
The HCF of 7217,6394 is 1.
Lets's calculate GCF of 7217,6394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7217,6394 By Matching Biggest Common Factor Method
Now, list down the factors of 7217
:1,7,1031,7217
Now, list down the factors of 6394
:1,2,23,46,139,278,3197,6394
Greatest Common Factor
We found the factors 7217,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 7217,6394 is 1.
Lets's calculate LCM of 994,1910
| 2 | 994, 1910 |
| 497, 955 |
∴ So the LCM of the given numbers is 2 x 497 x 955 = 949270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/949270
Therefore, the GCF of Fractions 7217/994,6394/1910 is 1/949270
Least Common Multiple of 994,1910 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 994,1910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,1910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,1910) x common factors =2 x 1 = 2
LCM(994,1910) = ( 994 × 1910 ) / 2
LCM(994,1910) = 1898540 / 2
LCM(994,1910) = 949270
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FAQs on GCF of Fractions of 7217/994, 6394/1910
1. What is the HCF of 7217,6394?
The HCF of 7217,6394 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 7217/994, 6394/1910?
Answer: GCF of Numerators as per given numbers 7217/994, 6394/1910 is
GCF of Numerators i.e. for 7217,6394 is 1
LCM of denominators i.e. for 994,1910 is 949270.
Thus, GCF of Fractions is 1/949270.Finally, GCF of Fractions for 7217/994, 6394/1910 is 1/949270.