GCF of 121/67, 419/372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 121/67, 419/372 i.e 1/24924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/67, 419/372.
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 121/67,419/372?
Given fractions are 121/67,419/372
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 121/67,419/372, numerators are 121,419
Denominators are 67,372
The GCF of 121,419 is 1 .
LCM of 67,372 is 24924.
The greatest common factor of 121/67,419/372 = [GCF of 121,419]/[LCM of 67,372]= 1/24924
Therefore, the GCF of 121/67,419/372 is 1/24924.
To find the highest common factor of 121,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 419 are 1, 419
The HCF of 121,419 is 1.
Lets's calculate GCF of 121,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 121,419 By Matching Biggest Common Factor Method
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 121,419 . The biggest common factor number is the GCF number.
So the greatest common factor 121,419 is 1.
Lets's calculate LCM of 67,372
Given numbers has no common factors except 1. So, there LCM is their product i.e 24924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24924
Therefore, the GCF of Fractions 121/67,419/372 is 1/24924
Least Common Multiple of 67,372 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 67,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,372) x common factors =1 x 1 = 1
LCM(67,372) = ( 67 × 372 ) / 1
LCM(67,372) = 24924 / 1
LCM(67,372) = 24924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 121/67, 419/372
1. What is the HCF of 121,419?
The HCF of 121,419 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 121/67, 419/372?
Answer: GCF of Numerators as per given numbers 121/67, 419/372 is
GCF of Numerators i.e. for 121,419 is 1
LCM of denominators i.e. for 67,372 is 24924.
Thus, GCF of Fractions is 1/24924.Finally, GCF of Fractions for 121/67, 419/372 is 1/24924.