Use our free GCF of Fractions Calculator tool to compute the GCF of 42/88, 259/48, 438/837 i.e 1/147312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/88, 259/48, 438/837.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/88,259/48,438/837
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 42/88,259/48,438/837, numerators are 42,259,438
Denominators are 88,48,837
The GCF of 42,259,438 is 1 .
LCM of 88,48,837 is 147312.
The greatest common factor of 42/88,259/48,438/837 = [GCF of 42,259,438]/[LCM of 88,48,837]= 1/147312
Therefore, the GCF of 42/88,259/48,438/837 is 1/147312.
To find the highest common factor of 42,259,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 259 are 1, 7, 37, 259
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 42,259,438 is 1.
Lets's calculate GCF of 42,259,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 42,259,438 . The biggest common factor number is the GCF number.
So the greatest common factor 42,259,438 is 1.
Lets's calculate LCM of 88,48,837
2 | 88, 48, 837 |
2 | 44, 24, 837 |
2 | 22, 12, 837 |
3 | 11, 6, 837 |
11, 2, 279 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 2 x 279 = 147312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147312
Therefore, the GCF of Fractions 42/88,259/48,438/837 is 1/147312
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 88,48,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,48,837) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(88,48,837) x common factors =1 x 24 = 24
LCM(88,48,837) = ( 88 × 48 × 837 ) / 24
LCM(88,48,837) = 3535488 / 24
LCM(88,48,837) = 147312
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 42,259,438?
The HCF of 42,259,438 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 42/88, 259/48, 438/837?
Answer: GCF of Numerators as per given numbers 42/88, 259/48, 438/837 is
GCF of Numerators i.e. for 42,259,438 is 1
LCM of denominators i.e. for 88,48,837 is 147312.
Thus, GCF of Fractions is 1/147312.Finally, GCF of Fractions for 42/88, 259/48, 438/837 is 1/147312.