GCF of 7218/838, 2671/2246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7218/838, 2671/2246 i.e 1/941074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7218/838, 2671/2246.
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 7218/838,2671/2246?
Given fractions are 7218/838,2671/2246
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 7218/838,2671/2246, numerators are 7218,2671
Denominators are 838,2246
The GCF of 7218,2671 is 1 .
LCM of 838,2246 is 941074.
The greatest common factor of 7218/838,2671/2246 = [GCF of 7218,2671]/[LCM of 838,2246]= 1/941074
Therefore, the GCF of 7218/838,2671/2246 is 1/941074.
To find the highest common factor of 7218,2671, we have to find the factors of both numbers and list the highest common factor.
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The factors of 2671 are 1, 2671
The HCF of 7218,2671 is 1.
Lets's calculate GCF of 7218,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7218,2671 By Matching Biggest Common Factor Method
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Now, list down the factors of 2671
:1,2671
Greatest Common Factor
We found the factors 7218,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,2671 is 1.
Lets's calculate LCM of 838,2246
| 2 | 838, 2246 |
| 419, 1123 |
∴ So the LCM of the given numbers is 2 x 419 x 1123 = 941074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/941074
Therefore, the GCF of Fractions 7218/838,2671/2246 is 1/941074
Least Common Multiple of 838,2246 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 838,2246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,2246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,2246) x common factors =2 x 1 = 2
LCM(838,2246) = ( 838 × 2246 ) / 2
LCM(838,2246) = 1882148 / 2
LCM(838,2246) = 941074
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FAQs on GCF of Fractions of 7218/838, 2671/2246
1. What is the HCF of 7218,2671?
The HCF of 7218,2671 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 7218/838, 2671/2246?
Answer: GCF of Numerators as per given numbers 7218/838, 2671/2246 is
GCF of Numerators i.e. for 7218,2671 is 1
LCM of denominators i.e. for 838,2246 is 941074.
Thus, GCF of Fractions is 1/941074.Finally, GCF of Fractions for 7218/838, 2671/2246 is 1/941074.