Use our free GCF of Fractions Calculator tool to compute the GCF of 4/937, 4/639 i.e 4/598743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/937, 4/639.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/937,4/639
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 4/937,4/639, numerators are 4,4
Denominators are 937,639
The GCF of 4,4 is 4 .
LCM of 937,639 is 598743.
The greatest common factor of 4/937,4/639 = [GCF of 4,4]/[LCM of 937,639]= 4/598743
Therefore, the GCF of 4/937,4/639 is 4/598743.
To find the highest common factor of 4,4, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 4 are 1, 2, 4
The HCF of 4,4 is 4.
Lets's calculate GCF of 4,4
2 | 4, 4 |
2 | 2, 2 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Lets's calculate LCM of 937,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 598743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/598743
Therefore, the GCF of Fractions 4/937,4/639 is 4/598743
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 937,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,639) x common factors =1 x 1 = 1
LCM(937,639) = ( 937 × 639 ) / 1
LCM(937,639) = 598743 / 1
LCM(937,639) = 598743
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,4?
The HCF of 4,4 is 4
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 4/937, 4/639?
Answer: GCF of Numerators as per given numbers 4/937, 4/639 is
GCF of Numerators i.e. for 4,4 is 4
LCM of denominators i.e. for 937,639 is 598743.
Thus, GCF of Fractions is 4/598743.Finally, GCF of Fractions for 4/937, 4/639 is 4/598743.