GCF of 10/645, 230/810, 418/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 10/645, 230/810, 418/400 i.e 2/1393200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/645, 230/810, 418/400.
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 10/645,230/810,418/400?
Given fractions are 10/645,230/810,418/400
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 10/645,230/810,418/400, numerators are 10,230,418
Denominators are 645,810,400
The GCF of 10,230,418 is 2 .
LCM of 645,810,400 is 1393200.
The greatest common factor of 10/645,230/810,418/400 = [GCF of 10,230,418]/[LCM of 645,810,400]= 2/1393200
Therefore, the GCF of 10/645,230/810,418/400 is 2/1393200.
To find the highest common factor of 10,230,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 10,230,418 is 2.
Lets's calculate GCF of 10,230,418
| 2 | 10, 230, 418 |
| 5, 115, 209 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 10,230,418 By Matching Biggest Common Factor Method
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 10,230,418 . The biggest common factor number is the GCF number.
So the greatest common factor 10,230,418 is 2.
Lets's calculate LCM of 645,810,400
| 2 | 645, 810, 400 |
| 3 | 645, 405, 200 |
| 5 | 215, 135, 200 |
| 43, 27, 40 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 27 x 40 = 1393200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1393200
Therefore, the GCF of Fractions 10/645,230/810,418/400 is 2/1393200
Least Common Multiple of 645,810,400 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 645,810,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,810,400) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(645,810,400) x common factors =5 x 30 = 150
LCM(645,810,400) = ( 645 × 810 × 400 ) / 150
LCM(645,810,400) = 208980000 / 150
LCM(645,810,400) = 1393200
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FAQs on GCF of Fractions of 10/645, 230/810, 418/400
1. What is the HCF of 10,230,418?
The HCF of 10,230,418 is 2
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 10/645, 230/810, 418/400?
Answer: GCF of Numerators as per given numbers 10/645, 230/810, 418/400 is
GCF of Numerators i.e. for 10,230,418 is 2
LCM of denominators i.e. for 645,810,400 is 1393200.
Thus, GCF of Fractions is 2/1393200.Finally, GCF of Fractions for 10/645, 230/810, 418/400 is 2/1393200.