GCF of 3893/112, 2570/1772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3893/112, 2570/1772 i.e 1/49616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3893/112, 2570/1772.
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 3893/112,2570/1772?
Given fractions are 3893/112,2570/1772
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 3893/112,2570/1772, numerators are 3893,2570
Denominators are 112,1772
The GCF of 3893,2570 is 1 .
LCM of 112,1772 is 49616.
The greatest common factor of 3893/112,2570/1772 = [GCF of 3893,2570]/[LCM of 112,1772]= 1/49616
Therefore, the GCF of 3893/112,2570/1772 is 1/49616.
To find the highest common factor of 3893,2570, we have to find the factors of both numbers and list the highest common factor.
The factors of 3893 are 1, 17, 229, 3893
The factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570
The HCF of 3893,2570 is 1.
Lets's calculate GCF of 3893,2570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3893,2570 By Matching Biggest Common Factor Method
Now, list down the factors of 3893
:1,17,229,3893
Now, list down the factors of 2570
:1,2,5,10,257,514,1285,2570
Greatest Common Factor
We found the factors 3893,2570 . The biggest common factor number is the GCF number.
So the greatest common factor 3893,2570 is 1.
Lets's calculate LCM of 112,1772
| 2 | 112, 1772 |
| 2 | 56, 886 |
| 28, 443 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 443 = 49616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49616
Therefore, the GCF of Fractions 3893/112,2570/1772 is 1/49616
Least Common Multiple of 112,1772 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 112,1772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,1772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,1772) x common factors =4 x 1 = 4
LCM(112,1772) = ( 112 × 1772 ) / 4
LCM(112,1772) = 198464 / 4
LCM(112,1772) = 49616
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FAQs on GCF of Fractions of 3893/112, 2570/1772
1. What is the HCF of 3893,2570?
The HCF of 3893,2570 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 3893/112, 2570/1772?
Answer: GCF of Numerators as per given numbers 3893/112, 2570/1772 is
GCF of Numerators i.e. for 3893,2570 is 1
LCM of denominators i.e. for 112,1772 is 49616.
Thus, GCF of Fractions is 1/49616.Finally, GCF of Fractions for 3893/112, 2570/1772 is 1/49616.