Use our free GCF of Fractions Calculator tool to compute the GCF of 2887/838, 4704/4186 i.e 1/1753934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2887/838, 4704/4186.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2887/838,4704/4186
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 2887/838,4704/4186, numerators are 2887,4704
Denominators are 838,4186
The GCF of 2887,4704 is 1 .
LCM of 838,4186 is 1753934.
The greatest common factor of 2887/838,4704/4186 = [GCF of 2887,4704]/[LCM of 838,4186]= 1/1753934
Therefore, the GCF of 2887/838,4704/4186 is 1/1753934.
To find the highest common factor of 2887,4704, we have to find the factors of both numbers and list the highest common factor.
The factors of 2887 are 1, 2887
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The HCF of 2887,4704 is 1.
Lets's calculate GCF of 2887,4704
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2887
:1,2887
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Greatest Common Factor
We found the factors 2887,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 2887,4704 is 1.
Lets's calculate LCM of 838,4186
2 | 838, 4186 |
419, 2093 |
∴ So the LCM of the given numbers is 2 x 419 x 2093 = 1753934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1753934
Therefore, the GCF of Fractions 2887/838,4704/4186 is 1/1753934
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 838,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4186) x common factors =2 x 1 = 2
LCM(838,4186) = ( 838 × 4186 ) / 2
LCM(838,4186) = 3507868 / 2
LCM(838,4186) = 1753934
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2887,4704?
The HCF of 2887,4704 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 2887/838, 4704/4186?
Answer: GCF of Numerators as per given numbers 2887/838, 4704/4186 is
GCF of Numerators i.e. for 2887,4704 is 1
LCM of denominators i.e. for 838,4186 is 1753934.
Thus, GCF of Fractions is 1/1753934.Finally, GCF of Fractions for 2887/838, 4704/4186 is 1/1753934.