Use our free GCF of Fractions Calculator tool to compute the GCF of 838/558, 151/506 i.e 1/141174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/558, 151/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/558,151/506
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 838/558,151/506, numerators are 838,151
Denominators are 558,506
The GCF of 838,151 is 1 .
LCM of 558,506 is 141174.
The greatest common factor of 838/558,151/506 = [GCF of 838,151]/[LCM of 558,506]= 1/141174
Therefore, the GCF of 838/558,151/506 is 1/141174.
To find the highest common factor of 838,151, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 151 are 1, 151
The HCF of 838,151 is 1.
Lets's calculate GCF of 838,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 151
:1,151
Greatest Common Factor
We found the factors 838,151 . The biggest common factor number is the GCF number.
So the greatest common factor 838,151 is 1.
Lets's calculate LCM of 558,506
2 | 558, 506 |
279, 253 |
∴ So the LCM of the given numbers is 2 x 279 x 253 = 141174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141174
Therefore, the GCF of Fractions 838/558,151/506 is 1/141174
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 558,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,506) x common factors =2 x 1 = 2
LCM(558,506) = ( 558 × 506 ) / 2
LCM(558,506) = 282348 / 2
LCM(558,506) = 141174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,151?
The HCF of 838,151 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 838/558, 151/506?
Answer: GCF of Numerators as per given numbers 838/558, 151/506 is
GCF of Numerators i.e. for 838,151 is 1
LCM of denominators i.e. for 558,506 is 141174.
Thus, GCF of Fractions is 1/141174.Finally, GCF of Fractions for 838/558, 151/506 is 1/141174.