GCF of 8756/758, 3000/4286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8756/758, 3000/4286 i.e 4/1624394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8756/758, 3000/4286.
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 8756/758,3000/4286?
Given fractions are 8756/758,3000/4286
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 8756/758,3000/4286, numerators are 8756,3000
Denominators are 758,4286
The GCF of 8756,3000 is 4 .
LCM of 758,4286 is 1624394.
The greatest common factor of 8756/758,3000/4286 = [GCF of 8756,3000]/[LCM of 758,4286]= 4/1624394
Therefore, the GCF of 8756/758,3000/4286 is 4/1624394.
To find the highest common factor of 8756,3000, we have to find the factors of both numbers and list the highest common factor.
The factors of 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The HCF of 8756,3000 is 4.
Lets's calculate GCF of 8756,3000
| 2 | 8756, 3000 |
| 2 | 4378, 1500 |
| 2189, 750 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8756,3000 By Matching Biggest Common Factor Method
Now, list down the factors of 8756
:1,2,4,11,22,44,199,398,796,2189,4378,8756
Now, list down the factors of 3000
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 8756,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 8756,3000 is 4.
Lets's calculate LCM of 758,4286
| 2 | 758, 4286 |
| 379, 2143 |
∴ So the LCM of the given numbers is 2 x 379 x 2143 = 1624394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1624394
Therefore, the GCF of Fractions 8756/758,3000/4286 is 4/1624394
Least Common Multiple of 758,4286 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 758,4286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,4286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,4286) x common factors =2 x 1 = 2
LCM(758,4286) = ( 758 × 4286 ) / 2
LCM(758,4286) = 3248788 / 2
LCM(758,4286) = 1624394
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FAQs on GCF of Fractions of 8756/758, 3000/4286
1. What is the HCF of 8756,3000?
The HCF of 8756,3000 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 8756/758, 3000/4286?
Answer: GCF of Numerators as per given numbers 8756/758, 3000/4286 is
GCF of Numerators i.e. for 8756,3000 is 4
LCM of denominators i.e. for 758,4286 is 1624394.
Thus, GCF of Fractions is 4/1624394.Finally, GCF of Fractions for 8756/758, 3000/4286 is 4/1624394.