GCF of 341/784, 816/901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/784, 816/901 i.e 1/706384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/784, 816/901.
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 341/784,816/901?
Given fractions are 341/784,816/901
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 341/784,816/901, numerators are 341,816
Denominators are 784,901
The GCF of 341,816 is 1 .
LCM of 784,901 is 706384.
The greatest common factor of 341/784,816/901 = [GCF of 341,816]/[LCM of 784,901]= 1/706384
Therefore, the GCF of 341/784,816/901 is 1/706384.
To find the highest common factor of 341,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The HCF of 341,816 is 1.
Lets's calculate GCF of 341,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 341,816 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 341,816 . The biggest common factor number is the GCF number.
So the greatest common factor 341,816 is 1.
Lets's calculate LCM of 784,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 706384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706384
Therefore, the GCF of Fractions 341/784,816/901 is 1/706384
Least Common Multiple of 784,901 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 784,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,901) x common factors =1 x 1 = 1
LCM(784,901) = ( 784 × 901 ) / 1
LCM(784,901) = 706384 / 1
LCM(784,901) = 706384
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FAQs on GCF of Fractions of 341/784, 816/901
1. What is the HCF of 341,816?
The HCF of 341,816 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 341/784, 816/901?
Answer: GCF of Numerators as per given numbers 341/784, 816/901 is
GCF of Numerators i.e. for 341,816 is 1
LCM of denominators i.e. for 784,901 is 706384.
Thus, GCF of Fractions is 1/706384.Finally, GCF of Fractions for 341/784, 816/901 is 1/706384.