GCF of 853/83, 1784/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 853/83, 1784/264 i.e 1/21912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/83, 1784/264.
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 853/83,1784/264?
Given fractions are 853/83,1784/264
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 853/83,1784/264, numerators are 853,1784
Denominators are 83,264
The GCF of 853,1784 is 1 .
LCM of 83,264 is 21912.
The greatest common factor of 853/83,1784/264 = [GCF of 853,1784]/[LCM of 83,264]= 1/21912
Therefore, the GCF of 853/83,1784/264 is 1/21912.
To find the highest common factor of 853,1784, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784
The HCF of 853,1784 is 1.
Lets's calculate GCF of 853,1784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 853,1784 By Matching Biggest Common Factor Method
Now, list down the factors of 853
:1,853
Now, list down the factors of 1784
:1,2,4,8,223,446,892,1784
Greatest Common Factor
We found the factors 853,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 853,1784 is 1.
Lets's calculate LCM of 83,264
Given numbers has no common factors except 1. So, there LCM is their product i.e 21912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21912
Therefore, the GCF of Fractions 853/83,1784/264 is 1/21912
Least Common Multiple of 83,264 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 83,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,264) x common factors =1 x 1 = 1
LCM(83,264) = ( 83 × 264 ) / 1
LCM(83,264) = 21912 / 1
LCM(83,264) = 21912
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 853/83, 1784/264
1. What is the HCF of 853,1784?
The HCF of 853,1784 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 853/83, 1784/264?
Answer: GCF of Numerators as per given numbers 853/83, 1784/264 is
GCF of Numerators i.e. for 853,1784 is 1
LCM of denominators i.e. for 83,264 is 21912.
Thus, GCF of Fractions is 1/21912.Finally, GCF of Fractions for 853/83, 1784/264 is 1/21912.