Use our free GCF of Fractions Calculator tool to compute the GCF of 828/602, 842/158 i.e 2/47558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/602, 842/158.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 828/602,842/158
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 828/602,842/158, numerators are 828,842
Denominators are 602,158
The GCF of 828,842 is 2 .
LCM of 602,158 is 47558.
The greatest common factor of 828/602,842/158 = [GCF of 828,842]/[LCM of 602,158]= 2/47558
Therefore, the GCF of 828/602,842/158 is 2/47558.
To find the highest common factor of 828,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The factors of 842 are 1, 2, 421, 842
The HCF of 828,842 is 2.
Lets's calculate GCF of 828,842
2 | 828, 842 |
414, 421 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 828,842 . The biggest common factor number is the GCF number.
So the greatest common factor 828,842 is 2.
Lets's calculate LCM of 602,158
2 | 602, 158 |
301, 79 |
∴ So the LCM of the given numbers is 2 x 301 x 79 = 47558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47558
Therefore, the GCF of Fractions 828/602,842/158 is 2/47558
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 602,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,158) x common factors =2 x 1 = 2
LCM(602,158) = ( 602 × 158 ) / 2
LCM(602,158) = 95116 / 2
LCM(602,158) = 47558
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 828,842?
The HCF of 828,842 is 2
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 828/602, 842/158?
Answer: GCF of Numerators as per given numbers 828/602, 842/158 is
GCF of Numerators i.e. for 828,842 is 2
LCM of denominators i.e. for 602,158 is 47558.
Thus, GCF of Fractions is 2/47558.Finally, GCF of Fractions for 828/602, 842/158 is 2/47558.