GCF of 4210/869, 3367/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4210/869, 3367/153 i.e 1/132957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4210/869, 3367/153.
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 4210/869,3367/153?
Given fractions are 4210/869,3367/153
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 4210/869,3367/153, numerators are 4210,3367
Denominators are 869,153
The GCF of 4210,3367 is 1 .
LCM of 869,153 is 132957.
The greatest common factor of 4210/869,3367/153 = [GCF of 4210,3367]/[LCM of 869,153]= 1/132957
Therefore, the GCF of 4210/869,3367/153 is 1/132957.
To find the highest common factor of 4210,3367, we have to find the factors of both numbers and list the highest common factor.
The factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210
The factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367
The HCF of 4210,3367 is 1.
Lets's calculate GCF of 4210,3367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4210,3367 By Matching Biggest Common Factor Method
Now, list down the factors of 4210
:1,2,5,10,421,842,2105,4210
Now, list down the factors of 3367
:1,7,13,37,91,259,481,3367
Greatest Common Factor
We found the factors 4210,3367 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,3367 is 1.
Lets's calculate LCM of 869,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 132957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132957
Therefore, the GCF of Fractions 4210/869,3367/153 is 1/132957
Least Common Multiple of 869,153 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 869,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,153) x common factors =1 x 1 = 1
LCM(869,153) = ( 869 × 153 ) / 1
LCM(869,153) = 132957 / 1
LCM(869,153) = 132957
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4210/869, 3367/153
1. What is the HCF of 4210,3367?
The HCF of 4210,3367 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 4210/869, 3367/153?
Answer: GCF of Numerators as per given numbers 4210/869, 3367/153 is
GCF of Numerators i.e. for 4210,3367 is 1
LCM of denominators i.e. for 869,153 is 132957.
Thus, GCF of Fractions is 1/132957.Finally, GCF of Fractions for 4210/869, 3367/153 is 1/132957.