GCF of 40/453, 221/802, 116/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/453, 221/802, 116/140 i.e 1/25431420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/453, 221/802, 116/140.
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 40/453,221/802,116/140?
Given fractions are 40/453,221/802,116/140
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 40/453,221/802,116/140, numerators are 40,221,116
Denominators are 453,802,140
The GCF of 40,221,116 is 1 .
LCM of 453,802,140 is 25431420.
The greatest common factor of 40/453,221/802,116/140 = [GCF of 40,221,116]/[LCM of 453,802,140]= 1/25431420
Therefore, the GCF of 40/453,221/802,116/140 is 1/25431420.
To find the highest common factor of 40,221,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 221 are 1, 13, 17, 221
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 40,221,116 is 1.
Lets's calculate GCF of 40,221,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,221,116 By Matching Biggest Common Factor Method
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 221
:1,13,17,221
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 40,221,116 . The biggest common factor number is the GCF number.
So the greatest common factor 40,221,116 is 1.
Lets's calculate LCM of 453,802,140
| 2 | 453, 802, 140 |
| 453, 401, 70 |
∴ So the LCM of the given numbers is 2 x 453 x 401 x 70 = 25431420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25431420
Therefore, the GCF of Fractions 40/453,221/802,116/140 is 1/25431420
Least Common Multiple of 453,802,140 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 453,802,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,802,140) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(453,802,140) x common factors =1 x 2 = 2
LCM(453,802,140) = ( 453 × 802 × 140 ) / 2
LCM(453,802,140) = 50862840 / 2
LCM(453,802,140) = 25431420
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FAQs on GCF of Fractions of 40/453, 221/802, 116/140
1. What is the HCF of 40,221,116?
The HCF of 40,221,116 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 40/453, 221/802, 116/140?
Answer: GCF of Numerators as per given numbers 40/453, 221/802, 116/140 is
GCF of Numerators i.e. for 40,221,116 is 1
LCM of denominators i.e. for 453,802,140 is 25431420.
Thus, GCF of Fractions is 1/25431420.Finally, GCF of Fractions for 40/453, 221/802, 116/140 is 1/25431420.