GCF of 977/67, 194/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 977/67, 194/311 i.e 1/20837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/67, 194/311.
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 977/67,194/311?
Given fractions are 977/67,194/311
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 977/67,194/311, numerators are 977,194
Denominators are 67,311
The GCF of 977,194 is 1 .
LCM of 67,311 is 20837.
The greatest common factor of 977/67,194/311 = [GCF of 977,194]/[LCM of 67,311]= 1/20837
Therefore, the GCF of 977/67,194/311 is 1/20837.
To find the highest common factor of 977,194, 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 194 are 1, 2, 97, 194
The HCF of 977,194 is 1.
Lets's calculate GCF of 977,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 977,194 By Matching Biggest Common Factor Method
Now, list down the factors of 977
:1,977
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 977,194 . The biggest common factor number is the GCF number.
So the greatest common factor 977,194 is 1.
Lets's calculate LCM of 67,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 20837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20837
Therefore, the GCF of Fractions 977/67,194/311 is 1/20837
Least Common Multiple of 67,311 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 67,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,311) x common factors =1 x 1 = 1
LCM(67,311) = ( 67 × 311 ) / 1
LCM(67,311) = 20837 / 1
LCM(67,311) = 20837
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 977/67, 194/311
1. What is the HCF of 977,194?
The HCF of 977,194 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 977/67, 194/311?
Answer: GCF of Numerators as per given numbers 977/67, 194/311 is
GCF of Numerators i.e. for 977,194 is 1
LCM of denominators i.e. for 67,311 is 20837.
Thus, GCF of Fractions is 1/20837.Finally, GCF of Fractions for 977/67, 194/311 is 1/20837.