GCF of 400/221, 973/410, 406/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 400/221, 973/410, 406/671 i.e 1/60799310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/221, 973/410, 406/671.
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 400/221,973/410,406/671?
Given fractions are 400/221,973/410,406/671
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 400/221,973/410,406/671, numerators are 400,973,406
Denominators are 221,410,671
The GCF of 400,973,406 is 1 .
LCM of 221,410,671 is 60799310.
The greatest common factor of 400/221,973/410,406/671 = [GCF of 400,973,406]/[LCM of 221,410,671]= 1/60799310
Therefore, the GCF of 400/221,973/410,406/671 is 1/60799310.
To find the highest common factor of 400,973,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 973 are 1, 7, 139, 973
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 400,973,406 is 1.
Lets's calculate GCF of 400,973,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 400,973,406 By Matching Biggest Common Factor Method
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 400,973,406 . The biggest common factor number is the GCF number.
So the greatest common factor 400,973,406 is 1.
Lets's calculate LCM of 221,410,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 60799310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60799310
Therefore, the GCF of Fractions 400/221,973/410,406/671 is 1/60799310
Least Common Multiple of 221,410,671 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 221,410,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,410,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,410,671) x common factors =1 x 1 = 1
LCM(221,410,671) = ( 221 × 410 × 671 ) / 1
LCM(221,410,671) = 60799310 / 1
LCM(221,410,671) = 60799310
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FAQs on GCF of Fractions of 400/221, 973/410, 406/671
1. What is the HCF of 400,973,406?
The HCF of 400,973,406 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 400/221, 973/410, 406/671?
Answer: GCF of Numerators as per given numbers 400/221, 973/410, 406/671 is
GCF of Numerators i.e. for 400,973,406 is 1
LCM of denominators i.e. for 221,410,671 is 60799310.
Thus, GCF of Fractions is 1/60799310.Finally, GCF of Fractions for 400/221, 973/410, 406/671 is 1/60799310.