Use our free GCF of Fractions Calculator tool to compute the GCF of 5714/375, 4870/9244 i.e 2/3466500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5714/375, 4870/9244.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5714/375,4870/9244
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 5714/375,4870/9244, numerators are 5714,4870
Denominators are 375,9244
The GCF of 5714,4870 is 2 .
LCM of 375,9244 is 3466500.
The greatest common factor of 5714/375,4870/9244 = [GCF of 5714,4870]/[LCM of 375,9244]= 2/3466500
Therefore, the GCF of 5714/375,4870/9244 is 2/3466500.
To find the highest common factor of 5714,4870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5714 are 1, 2, 2857, 5714
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The HCF of 5714,4870 is 2.
Lets's calculate GCF of 5714,4870
2 | 5714, 4870 |
2857, 2435 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5714
:1,2,2857,5714
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 5714,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 5714,4870 is 2.
Lets's calculate LCM of 375,9244
Given numbers has no common factors except 1. So, there LCM is their product i.e 3466500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3466500
Therefore, the GCF of Fractions 5714/375,4870/9244 is 2/3466500
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 375,9244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,9244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,9244) x common factors =1 x 1 = 1
LCM(375,9244) = ( 375 × 9244 ) / 1
LCM(375,9244) = 3466500 / 1
LCM(375,9244) = 3466500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5714,4870?
The HCF of 5714,4870 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 5714/375, 4870/9244?
Answer: GCF of Numerators as per given numbers 5714/375, 4870/9244 is
GCF of Numerators i.e. for 5714,4870 is 2
LCM of denominators i.e. for 375,9244 is 3466500.
Thus, GCF of Fractions is 2/3466500.Finally, GCF of Fractions for 5714/375, 4870/9244 is 2/3466500.