GCF of 311/19, 137/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 311/19, 137/896 i.e 1/17024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/19, 137/896.
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 311/19,137/896?
Given fractions are 311/19,137/896
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 311/19,137/896, numerators are 311,137
Denominators are 19,896
The GCF of 311,137 is 1 .
LCM of 19,896 is 17024.
The greatest common factor of 311/19,137/896 = [GCF of 311,137]/[LCM of 19,896]= 1/17024
Therefore, the GCF of 311/19,137/896 is 1/17024.
To find the highest common factor of 311,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 311 are 1, 311
The factors of 137 are 1, 137
The HCF of 311,137 is 1.
Lets's calculate GCF of 311,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 311,137 By Matching Biggest Common Factor Method
Now, list down the factors of 311
:1,311
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 311,137 . The biggest common factor number is the GCF number.
So the greatest common factor 311,137 is 1.
Lets's calculate LCM of 19,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 17024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17024
Therefore, the GCF of Fractions 311/19,137/896 is 1/17024
Least Common Multiple of 19,896 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 19,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,896) x common factors =1 x 1 = 1
LCM(19,896) = ( 19 × 896 ) / 1
LCM(19,896) = 17024 / 1
LCM(19,896) = 17024
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 311/19, 137/896
1. What is the HCF of 311,137?
The HCF of 311,137 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 311/19, 137/896?
Answer: GCF of Numerators as per given numbers 311/19, 137/896 is
GCF of Numerators i.e. for 311,137 is 1
LCM of denominators i.e. for 19,896 is 17024.
Thus, GCF of Fractions is 1/17024.Finally, GCF of Fractions for 311/19, 137/896 is 1/17024.