GCF of 5187/945, 7214/2238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5187/945, 7214/2238 i.e 1/704970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5187/945, 7214/2238.
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 5187/945,7214/2238?
Given fractions are 5187/945,7214/2238
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 5187/945,7214/2238, numerators are 5187,7214
Denominators are 945,2238
The GCF of 5187,7214 is 1 .
LCM of 945,2238 is 704970.
The greatest common factor of 5187/945,7214/2238 = [GCF of 5187,7214]/[LCM of 945,2238]= 1/704970
Therefore, the GCF of 5187/945,7214/2238 is 1/704970.
To find the highest common factor of 5187,7214, we have to find the factors of both numbers and list the highest common factor.
The factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
The factors of 7214 are 1, 2, 3607, 7214
The HCF of 5187,7214 is 1.
Lets's calculate GCF of 5187,7214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5187,7214 By Matching Biggest Common Factor Method
Now, list down the factors of 5187
:1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Now, list down the factors of 7214
:1,2,3607,7214
Greatest Common Factor
We found the factors 5187,7214 . The biggest common factor number is the GCF number.
So the greatest common factor 5187,7214 is 1.
Lets's calculate LCM of 945,2238
| 3 | 945, 2238 |
| 315, 746 |
∴ So the LCM of the given numbers is 3 x 315 x 746 = 704970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704970
Therefore, the GCF of Fractions 5187/945,7214/2238 is 1/704970
Least Common Multiple of 945,2238 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 945,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,2238) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(945,2238) x common factors =3 x 1 = 3
LCM(945,2238) = ( 945 × 2238 ) / 3
LCM(945,2238) = 2114910 / 3
LCM(945,2238) = 704970
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FAQs on GCF of Fractions of 5187/945, 7214/2238
1. What is the HCF of 5187,7214?
The HCF of 5187,7214 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 5187/945, 7214/2238?
Answer: GCF of Numerators as per given numbers 5187/945, 7214/2238 is
GCF of Numerators i.e. for 5187,7214 is 1
LCM of denominators i.e. for 945,2238 is 704970.
Thus, GCF of Fractions is 1/704970.Finally, GCF of Fractions for 5187/945, 7214/2238 is 1/704970.