Use our free GCF of Fractions Calculator tool to compute the GCF of 2126/422, 4544/1134 i.e 2/239274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2126/422, 4544/1134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2126/422,4544/1134
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 2126/422,4544/1134, numerators are 2126,4544
Denominators are 422,1134
The GCF of 2126,4544 is 2 .
LCM of 422,1134 is 239274.
The greatest common factor of 2126/422,4544/1134 = [GCF of 2126,4544]/[LCM of 422,1134]= 2/239274
Therefore, the GCF of 2126/422,4544/1134 is 2/239274.
To find the highest common factor of 2126,4544, we have to find the factors of both numbers and list the highest common factor.
The factors of 2126 are 1, 2, 1063, 2126
The factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544
The HCF of 2126,4544 is 2.
Lets's calculate GCF of 2126,4544
2 | 2126, 4544 |
1063, 2272 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2126
:1,2,1063,2126
Now, list down the factors of 4544
:1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544
Greatest Common Factor
We found the factors 2126,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 2126,4544 is 2.
Lets's calculate LCM of 422,1134
2 | 422, 1134 |
211, 567 |
∴ So the LCM of the given numbers is 2 x 211 x 567 = 239274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239274
Therefore, the GCF of Fractions 2126/422,4544/1134 is 2/239274
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 422,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,1134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,1134) x common factors =2 x 1 = 2
LCM(422,1134) = ( 422 × 1134 ) / 2
LCM(422,1134) = 478548 / 2
LCM(422,1134) = 239274
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2126,4544?
The HCF of 2126,4544 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 2126/422, 4544/1134?
Answer: GCF of Numerators as per given numbers 2126/422, 4544/1134 is
GCF of Numerators i.e. for 2126,4544 is 2
LCM of denominators i.e. for 422,1134 is 239274.
Thus, GCF of Fractions is 2/239274.Finally, GCF of Fractions for 2126/422, 4544/1134 is 2/239274.