GCF of 8570/568, 2974/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8570/568, 2974/544 i.e 2/38624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8570/568, 2974/544.
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 8570/568,2974/544?
Given fractions are 8570/568,2974/544
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 8570/568,2974/544, numerators are 8570,2974
Denominators are 568,544
The GCF of 8570,2974 is 2 .
LCM of 568,544 is 38624.
The greatest common factor of 8570/568,2974/544 = [GCF of 8570,2974]/[LCM of 568,544]= 2/38624
Therefore, the GCF of 8570/568,2974/544 is 2/38624.
To find the highest common factor of 8570,2974, we have to find the factors of both numbers and list the highest common factor.
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The factors of 2974 are 1, 2, 1487, 2974
The HCF of 8570,2974 is 2.
Lets's calculate GCF of 8570,2974
| 2 | 8570, 2974 |
| 4285, 1487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8570,2974 By Matching Biggest Common Factor Method
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Now, list down the factors of 2974
:1,2,1487,2974
Greatest Common Factor
We found the factors 8570,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 8570,2974 is 2.
Lets's calculate LCM of 568,544
| 2 | 568, 544 |
| 2 | 284, 272 |
| 2 | 142, 136 |
| 71, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 68 = 38624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38624
Therefore, the GCF of Fractions 8570/568,2974/544 is 2/38624
Least Common Multiple of 568,544 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 568,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,544) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(568,544) x common factors =8 x 1 = 8
LCM(568,544) = ( 568 × 544 ) / 8
LCM(568,544) = 308992 / 8
LCM(568,544) = 38624
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FAQs on GCF of Fractions of 8570/568, 2974/544
1. What is the HCF of 8570,2974?
The HCF of 8570,2974 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 8570/568, 2974/544?
Answer: GCF of Numerators as per given numbers 8570/568, 2974/544 is
GCF of Numerators i.e. for 8570,2974 is 2
LCM of denominators i.e. for 568,544 is 38624.
Thus, GCF of Fractions is 2/38624.Finally, GCF of Fractions for 8570/568, 2974/544 is 2/38624.