Use our free GCF of Fractions Calculator tool to compute the GCF of 239/846, 948/757 i.e 1/640422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/846, 948/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/846,948/757
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 239/846,948/757, numerators are 239,948
Denominators are 846,757
The GCF of 239,948 is 1 .
LCM of 846,757 is 640422.
The greatest common factor of 239/846,948/757 = [GCF of 239,948]/[LCM of 846,757]= 1/640422
Therefore, the GCF of 239/846,948/757 is 1/640422.
To find the highest common factor of 239,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 239,948 is 1.
Lets's calculate GCF of 239,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 239
:1,239
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 239,948 . The biggest common factor number is the GCF number.
So the greatest common factor 239,948 is 1.
Lets's calculate LCM of 846,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 640422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640422
Therefore, the GCF of Fractions 239/846,948/757 is 1/640422
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 846,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(846,757) x common factors =1 x 1 = 1
LCM(846,757) = ( 846 × 757 ) / 1
LCM(846,757) = 640422 / 1
LCM(846,757) = 640422
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 239,948?
The HCF of 239,948 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 239/846, 948/757?
Answer: GCF of Numerators as per given numbers 239/846, 948/757 is
GCF of Numerators i.e. for 239,948 is 1
LCM of denominators i.e. for 846,757 is 640422.
Thus, GCF of Fractions is 1/640422.Finally, GCF of Fractions for 239/846, 948/757 is 1/640422.