GCF of 468/382, 557/550, 336/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 468/382, 557/550, 336/850 i.e 1/1785850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/382, 557/550, 336/850.
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 468/382,557/550,336/850?
Given fractions are 468/382,557/550,336/850
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 468/382,557/550,336/850, numerators are 468,557,336
Denominators are 382,550,850
The GCF of 468,557,336 is 1 .
LCM of 382,550,850 is 1785850.
The greatest common factor of 468/382,557/550,336/850 = [GCF of 468,557,336]/[LCM of 382,550,850]= 1/1785850
Therefore, the GCF of 468/382,557/550,336/850 is 1/1785850.
To find the highest common factor of 468,557,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The factors of 557 are 1, 557
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 468,557,336 is 1.
Lets's calculate GCF of 468,557,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 468,557,336 By Matching Biggest Common Factor Method
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Now, list down the factors of 557
:1,557
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 468,557,336 . The biggest common factor number is the GCF number.
So the greatest common factor 468,557,336 is 1.
Lets's calculate LCM of 382,550,850
| 2 | 382, 550, 850 |
| 5 | 191, 275, 425 |
| 5 | 191, 55, 85 |
| 191, 11, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 191 x 11 x 17 = 1785850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785850
Therefore, the GCF of Fractions 468/382,557/550,336/850 is 1/1785850
Least Common Multiple of 382,550,850 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 382,550,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,550,850) = 2
common factors(in case of two or more numbers have common factors) = 50
GCF(382,550,850) x common factors =2 x 50 = 100
LCM(382,550,850) = ( 382 × 550 × 850 ) / 100
LCM(382,550,850) = 178585000 / 100
LCM(382,550,850) = 1785850
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FAQs on GCF of Fractions of 468/382, 557/550, 336/850
1. What is the HCF of 468,557,336?
The HCF of 468,557,336 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 468/382, 557/550, 336/850?
Answer: GCF of Numerators as per given numbers 468/382, 557/550, 336/850 is
GCF of Numerators i.e. for 468,557,336 is 1
LCM of denominators i.e. for 382,550,850 is 1785850.
Thus, GCF of Fractions is 1/1785850.Finally, GCF of Fractions for 468/382, 557/550, 336/850 is 1/1785850.