GCF of 3900/578, 5756/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3900/578, 5756/5956 i.e 4/1721284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3900/578, 5756/5956.
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 3900/578,5756/5956?
Given fractions are 3900/578,5756/5956
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 3900/578,5756/5956, numerators are 3900,5756
Denominators are 578,5956
The GCF of 3900,5756 is 4 .
LCM of 578,5956 is 1721284.
The greatest common factor of 3900/578,5756/5956 = [GCF of 3900,5756]/[LCM of 578,5956]= 4/1721284
Therefore, the GCF of 3900/578,5756/5956 is 4/1721284.
To find the highest common factor of 3900,5756, we have to find the factors of both numbers and list the highest common factor.
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The factors of 5756 are 1, 2, 4, 1439, 2878, 5756
The HCF of 3900,5756 is 4.
Lets's calculate GCF of 3900,5756
| 2 | 3900, 5756 |
| 2 | 1950, 2878 |
| 975, 1439 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3900,5756 By Matching Biggest Common Factor Method
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Now, list down the factors of 5756
:1,2,4,1439,2878,5756
Greatest Common Factor
We found the factors 3900,5756 . The biggest common factor number is the GCF number.
So the greatest common factor 3900,5756 is 4.
Lets's calculate LCM of 578,5956
| 2 | 578, 5956 |
| 289, 2978 |
∴ So the LCM of the given numbers is 2 x 289 x 2978 = 1721284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1721284
Therefore, the GCF of Fractions 3900/578,5756/5956 is 4/1721284
Least Common Multiple of 578,5956 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 578,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,5956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,5956) x common factors =2 x 1 = 2
LCM(578,5956) = ( 578 × 5956 ) / 2
LCM(578,5956) = 3442568 / 2
LCM(578,5956) = 1721284
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FAQs on GCF of Fractions of 3900/578, 5756/5956
1. What is the HCF of 3900,5756?
The HCF of 3900,5756 is 4
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 3900/578, 5756/5956?
Answer: GCF of Numerators as per given numbers 3900/578, 5756/5956 is
GCF of Numerators i.e. for 3900,5756 is 4
LCM of denominators i.e. for 578,5956 is 1721284.
Thus, GCF of Fractions is 4/1721284.Finally, GCF of Fractions for 3900/578, 5756/5956 is 4/1721284.