Use our free GCF of Fractions Calculator tool to compute the GCF of 38/696, 22/878, 137/522 i.e 1/916632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/696, 22/878, 137/522.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/696,22/878,137/522
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 38/696,22/878,137/522, numerators are 38,22,137
Denominators are 696,878,522
The GCF of 38,22,137 is 1 .
LCM of 696,878,522 is 916632.
The greatest common factor of 38/696,22/878,137/522 = [GCF of 38,22,137]/[LCM of 696,878,522]= 1/916632
Therefore, the GCF of 38/696,22/878,137/522 is 1/916632.
To find the highest common factor of 38,22,137, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 22 are 1, 2, 11, 22
The factors of 137 are 1, 137
The HCF of 38,22,137 is 1.
Lets's calculate GCF of 38,22,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 137
:1,137
Greatest Common Factor
We found the factors 38,22,137 . The biggest common factor number is the GCF number.
So the greatest common factor 38,22,137 is 1.
Lets's calculate LCM of 696,878,522
2 | 696, 878, 522 |
3 | 348, 439, 261 |
29 | 116, 439, 87 |
4, 439, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 4 x 439 x 3 = 916632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916632
Therefore, the GCF of Fractions 38/696,22/878,137/522 is 1/916632
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 696,878,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,878,522) = 2
common factors(in case of two or more numbers have common factors) = 174
GCF(696,878,522) x common factors =2 x 174 = 348
LCM(696,878,522) = ( 696 × 878 × 522 ) / 348
LCM(696,878,522) = 318987936 / 348
LCM(696,878,522) = 916632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,22,137?
The HCF of 38,22,137 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 38/696, 22/878, 137/522?
Answer: GCF of Numerators as per given numbers 38/696, 22/878, 137/522 is
GCF of Numerators i.e. for 38,22,137 is 1
LCM of denominators i.e. for 696,878,522 is 916632.
Thus, GCF of Fractions is 1/916632.Finally, GCF of Fractions for 38/696, 22/878, 137/522 is 1/916632.