GCF of 211/91, 697/9924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 211/91, 697/9924 i.e 1/903084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/91, 697/9924.
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 211/91,697/9924?
Given fractions are 211/91,697/9924
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 211/91,697/9924, numerators are 211,697
Denominators are 91,9924
The GCF of 211,697 is 1 .
LCM of 91,9924 is 903084.
The greatest common factor of 211/91,697/9924 = [GCF of 211,697]/[LCM of 91,9924]= 1/903084
Therefore, the GCF of 211/91,697/9924 is 1/903084.
To find the highest common factor of 211,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 697 are 1, 17, 41, 697
The HCF of 211,697 is 1.
Lets's calculate GCF of 211,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 211,697 By Matching Biggest Common Factor Method
Now, list down the factors of 211
:1,211
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 211,697 . The biggest common factor number is the GCF number.
So the greatest common factor 211,697 is 1.
Lets's calculate LCM of 91,9924
Given numbers has no common factors except 1. So, there LCM is their product i.e 903084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903084
Therefore, the GCF of Fractions 211/91,697/9924 is 1/903084
Least Common Multiple of 91,9924 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 91,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,9924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,9924) x common factors =1 x 1 = 1
LCM(91,9924) = ( 91 × 9924 ) / 1
LCM(91,9924) = 903084 / 1
LCM(91,9924) = 903084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 211/91, 697/9924
1. What is the HCF of 211,697?
The HCF of 211,697 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 211/91, 697/9924?
Answer: GCF of Numerators as per given numbers 211/91, 697/9924 is
GCF of Numerators i.e. for 211,697 is 1
LCM of denominators i.e. for 91,9924 is 903084.
Thus, GCF of Fractions is 1/903084.Finally, GCF of Fractions for 211/91, 697/9924 is 1/903084.