GCF of 2894/436, 8570/4012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2894/436, 8570/4012 i.e 2/437308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2894/436, 8570/4012.
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 2894/436,8570/4012?
Given fractions are 2894/436,8570/4012
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 2894/436,8570/4012, numerators are 2894,8570
Denominators are 436,4012
The GCF of 2894,8570 is 2 .
LCM of 436,4012 is 437308.
The greatest common factor of 2894/436,8570/4012 = [GCF of 2894,8570]/[LCM of 436,4012]= 2/437308
Therefore, the GCF of 2894/436,8570/4012 is 2/437308.
To find the highest common factor of 2894,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2894 are 1, 2, 1447, 2894
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 2894,8570 is 2.
Lets's calculate GCF of 2894,8570
| 2 | 2894, 8570 |
| 1447, 4285 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2894,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 2894
:1,2,1447,2894
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 2894,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 2894,8570 is 2.
Lets's calculate LCM of 436,4012
| 2 | 436, 4012 |
| 2 | 218, 2006 |
| 109, 1003 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 1003 = 437308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/437308
Therefore, the GCF of Fractions 2894/436,8570/4012 is 2/437308
Least Common Multiple of 436,4012 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 436,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,4012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,4012) x common factors =4 x 1 = 4
LCM(436,4012) = ( 436 × 4012 ) / 4
LCM(436,4012) = 1749232 / 4
LCM(436,4012) = 437308
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FAQs on GCF of Fractions of 2894/436, 8570/4012
1. What is the HCF of 2894,8570?
The HCF of 2894,8570 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 2894/436, 8570/4012?
Answer: GCF of Numerators as per given numbers 2894/436, 8570/4012 is
GCF of Numerators i.e. for 2894,8570 is 2
LCM of denominators i.e. for 436,4012 is 437308.
Thus, GCF of Fractions is 2/437308.Finally, GCF of Fractions for 2894/436, 8570/4012 is 2/437308.