GCF of 6366/502, 7819/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6366/502, 7819/438 i.e 1/109938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6366/502, 7819/438.
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 6366/502,7819/438?
Given fractions are 6366/502,7819/438
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 6366/502,7819/438, numerators are 6366,7819
Denominators are 502,438
The GCF of 6366,7819 is 1 .
LCM of 502,438 is 109938.
The greatest common factor of 6366/502,7819/438 = [GCF of 6366,7819]/[LCM of 502,438]= 1/109938
Therefore, the GCF of 6366/502,7819/438 is 1/109938.
To find the highest common factor of 6366,7819, we have to find the factors of both numbers and list the highest common factor.
The factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366
The factors of 7819 are 1, 7, 1117, 7819
The HCF of 6366,7819 is 1.
Lets's calculate GCF of 6366,7819
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6366,7819 By Matching Biggest Common Factor Method
Now, list down the factors of 6366
:1,2,3,6,1061,2122,3183,6366
Now, list down the factors of 7819
:1,7,1117,7819
Greatest Common Factor
We found the factors 6366,7819 . The biggest common factor number is the GCF number.
So the greatest common factor 6366,7819 is 1.
Lets's calculate LCM of 502,438
| 2 | 502, 438 |
| 251, 219 |
∴ So the LCM of the given numbers is 2 x 251 x 219 = 109938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109938
Therefore, the GCF of Fractions 6366/502,7819/438 is 1/109938
Least Common Multiple of 502,438 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 502,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,438) x common factors =2 x 1 = 2
LCM(502,438) = ( 502 × 438 ) / 2
LCM(502,438) = 219876 / 2
LCM(502,438) = 109938
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FAQs on GCF of Fractions of 6366/502, 7819/438
1. What is the HCF of 6366,7819?
The HCF of 6366,7819 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 6366/502, 7819/438?
Answer: GCF of Numerators as per given numbers 6366/502, 7819/438 is
GCF of Numerators i.e. for 6366,7819 is 1
LCM of denominators i.e. for 502,438 is 109938.
Thus, GCF of Fractions is 1/109938.Finally, GCF of Fractions for 6366/502, 7819/438 is 1/109938.