GCF of 1463/361, 2274/6596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1463/361, 2274/6596 i.e 1/2381156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/361, 2274/6596.
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 1463/361,2274/6596?
Given fractions are 1463/361,2274/6596
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 1463/361,2274/6596, numerators are 1463,2274
Denominators are 361,6596
The GCF of 1463,2274 is 1 .
LCM of 361,6596 is 2381156.
The greatest common factor of 1463/361,2274/6596 = [GCF of 1463,2274]/[LCM of 361,6596]= 1/2381156
Therefore, the GCF of 1463/361,2274/6596 is 1/2381156.
To find the highest common factor of 1463,2274, we have to find the factors of both numbers and list the highest common factor.
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 1463,2274 is 1.
Lets's calculate GCF of 1463,2274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1463,2274 By Matching Biggest Common Factor Method
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 1463,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,2274 is 1.
Lets's calculate LCM of 361,6596
Given numbers has no common factors except 1. So, there LCM is their product i.e 2381156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2381156
Therefore, the GCF of Fractions 1463/361,2274/6596 is 1/2381156
Least Common Multiple of 361,6596 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 361,6596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,6596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,6596) x common factors =1 x 1 = 1
LCM(361,6596) = ( 361 × 6596 ) / 1
LCM(361,6596) = 2381156 / 1
LCM(361,6596) = 2381156
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FAQs on GCF of Fractions of 1463/361, 2274/6596
1. What is the HCF of 1463,2274?
The HCF of 1463,2274 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 1463/361, 2274/6596?
Answer: GCF of Numerators as per given numbers 1463/361, 2274/6596 is
GCF of Numerators i.e. for 1463,2274 is 1
LCM of denominators i.e. for 361,6596 is 2381156.
Thus, GCF of Fractions is 1/2381156.Finally, GCF of Fractions for 1463/361, 2274/6596 is 1/2381156.