GCF of 977/311, 238/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 977/311, 238/214 i.e 1/66554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/311, 238/214.
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 977/311,238/214?
Given fractions are 977/311,238/214
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 977/311,238/214, numerators are 977,238
Denominators are 311,214
The GCF of 977,238 is 1 .
LCM of 311,214 is 66554.
The greatest common factor of 977/311,238/214 = [GCF of 977,238]/[LCM of 311,214]= 1/66554
Therefore, the GCF of 977/311,238/214 is 1/66554.
To find the highest common factor of 977,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 977 are 1, 977
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 977,238 is 1.
Lets's calculate GCF of 977,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 977,238 By Matching Biggest Common Factor Method
Now, list down the factors of 977
:1,977
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 977,238 . The biggest common factor number is the GCF number.
So the greatest common factor 977,238 is 1.
Lets's calculate LCM of 311,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 66554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66554
Therefore, the GCF of Fractions 977/311,238/214 is 1/66554
Least Common Multiple of 311,214 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 311,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,214) x common factors =1 x 1 = 1
LCM(311,214) = ( 311 × 214 ) / 1
LCM(311,214) = 66554 / 1
LCM(311,214) = 66554
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 977/311, 238/214
1. What is the HCF of 977,238?
The HCF of 977,238 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 977/311, 238/214?
Answer: GCF of Numerators as per given numbers 977/311, 238/214 is
GCF of Numerators i.e. for 977,238 is 1
LCM of denominators i.e. for 311,214 is 66554.
Thus, GCF of Fractions is 1/66554.Finally, GCF of Fractions for 977/311, 238/214 is 1/66554.