GCF of 844/176, 6353/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/176, 6353/261 i.e 1/45936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/176, 6353/261.
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 844/176,6353/261?
Given fractions are 844/176,6353/261
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 844/176,6353/261, numerators are 844,6353
Denominators are 176,261
The GCF of 844,6353 is 1 .
LCM of 176,261 is 45936.
The greatest common factor of 844/176,6353/261 = [GCF of 844,6353]/[LCM of 176,261]= 1/45936
Therefore, the GCF of 844/176,6353/261 is 1/45936.
To find the highest common factor of 844,6353, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 6353 are 1, 6353
The HCF of 844,6353 is 1.
Lets's calculate GCF of 844,6353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 844,6353 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 6353
:1,6353
Greatest Common Factor
We found the factors 844,6353 . The biggest common factor number is the GCF number.
So the greatest common factor 844,6353 is 1.
Lets's calculate LCM of 176,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 45936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45936
Therefore, the GCF of Fractions 844/176,6353/261 is 1/45936
Least Common Multiple of 176,261 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 176,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,261) x common factors =1 x 1 = 1
LCM(176,261) = ( 176 × 261 ) / 1
LCM(176,261) = 45936 / 1
LCM(176,261) = 45936
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 844/176, 6353/261
1. What is the HCF of 844,6353?
The HCF of 844,6353 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 844/176, 6353/261?
Answer: GCF of Numerators as per given numbers 844/176, 6353/261 is
GCF of Numerators i.e. for 844,6353 is 1
LCM of denominators i.e. for 176,261 is 45936.
Thus, GCF of Fractions is 1/45936.Finally, GCF of Fractions for 844/176, 6353/261 is 1/45936.