GCF of 1972/446, 5867/3511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1972/446, 5867/3511 i.e 1/1565906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1972/446, 5867/3511.
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 1972/446,5867/3511?
Given fractions are 1972/446,5867/3511
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 1972/446,5867/3511, numerators are 1972,5867
Denominators are 446,3511
The GCF of 1972,5867 is 1 .
LCM of 446,3511 is 1565906.
The greatest common factor of 1972/446,5867/3511 = [GCF of 1972,5867]/[LCM of 446,3511]= 1/1565906
Therefore, the GCF of 1972/446,5867/3511 is 1/1565906.
To find the highest common factor of 1972,5867, we have to find the factors of both numbers and list the highest common factor.
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The factors of 5867 are 1, 5867
The HCF of 1972,5867 is 1.
Lets's calculate GCF of 1972,5867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1972,5867 By Matching Biggest Common Factor Method
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Now, list down the factors of 5867
:1,5867
Greatest Common Factor
We found the factors 1972,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 1972,5867 is 1.
Lets's calculate LCM of 446,3511
Given numbers has no common factors except 1. So, there LCM is their product i.e 1565906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1565906
Therefore, the GCF of Fractions 1972/446,5867/3511 is 1/1565906
Least Common Multiple of 446,3511 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 446,3511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,3511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,3511) x common factors =1 x 1 = 1
LCM(446,3511) = ( 446 × 3511 ) / 1
LCM(446,3511) = 1565906 / 1
LCM(446,3511) = 1565906
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1972/446, 5867/3511
1. What is the HCF of 1972,5867?
The HCF of 1972,5867 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 1972/446, 5867/3511?
Answer: GCF of Numerators as per given numbers 1972/446, 5867/3511 is
GCF of Numerators i.e. for 1972,5867 is 1
LCM of denominators i.e. for 446,3511 is 1565906.
Thus, GCF of Fractions is 1/1565906.Finally, GCF of Fractions for 1972/446, 5867/3511 is 1/1565906.