Use our free GCF of Fractions Calculator tool to compute the GCF of 5134/126, 4749/9962 i.e 1/627606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/126, 4749/9962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5134/126,4749/9962
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 5134/126,4749/9962, numerators are 5134,4749
Denominators are 126,9962
The GCF of 5134,4749 is 1 .
LCM of 126,9962 is 627606.
The greatest common factor of 5134/126,4749/9962 = [GCF of 5134,4749]/[LCM of 126,9962]= 1/627606
Therefore, the GCF of 5134/126,4749/9962 is 1/627606.
To find the highest common factor of 5134,4749, we have to find the factors of both numbers and list the highest common factor.
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The factors of 4749 are 1, 3, 1583, 4749
The HCF of 5134,4749 is 1.
Lets's calculate GCF of 5134,4749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Now, list down the factors of 4749
:1,3,1583,4749
Greatest Common Factor
We found the factors 5134,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,4749 is 1.
Lets's calculate LCM of 126,9962
2 | 126, 9962 |
63, 4981 |
∴ So the LCM of the given numbers is 2 x 63 x 4981 = 627606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627606
Therefore, the GCF of Fractions 5134/126,4749/9962 is 1/627606
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 126,9962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,9962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(126,9962) x common factors =2 x 1 = 2
LCM(126,9962) = ( 126 × 9962 ) / 2
LCM(126,9962) = 1255212 / 2
LCM(126,9962) = 627606
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5134,4749?
The HCF of 5134,4749 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 5134/126, 4749/9962?
Answer: GCF of Numerators as per given numbers 5134/126, 4749/9962 is
GCF of Numerators i.e. for 5134,4749 is 1
LCM of denominators i.e. for 126,9962 is 627606.
Thus, GCF of Fractions is 1/627606.Finally, GCF of Fractions for 5134/126, 4749/9962 is 1/627606.