Use our free GCF of Fractions Calculator tool to compute the GCF of 856/707, 822/269 i.e 2/190183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/707, 822/269.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/707,822/269
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 856/707,822/269, numerators are 856,822
Denominators are 707,269
The GCF of 856,822 is 2 .
LCM of 707,269 is 190183.
The greatest common factor of 856/707,822/269 = [GCF of 856,822]/[LCM of 707,269]= 2/190183
Therefore, the GCF of 856/707,822/269 is 2/190183.
To find the highest common factor of 856,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 856,822 is 2.
Lets's calculate GCF of 856,822
2 | 856, 822 |
428, 411 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 856,822 . The biggest common factor number is the GCF number.
So the greatest common factor 856,822 is 2.
Lets's calculate LCM of 707,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 190183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190183
Therefore, the GCF of Fractions 856/707,822/269 is 2/190183
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 707,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,269) x common factors =1 x 1 = 1
LCM(707,269) = ( 707 × 269 ) / 1
LCM(707,269) = 190183 / 1
LCM(707,269) = 190183
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 856,822?
The HCF of 856,822 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 856/707, 822/269?
Answer: GCF of Numerators as per given numbers 856/707, 822/269 is
GCF of Numerators i.e. for 856,822 is 2
LCM of denominators i.e. for 707,269 is 190183.
Thus, GCF of Fractions is 2/190183.Finally, GCF of Fractions for 856/707, 822/269 is 2/190183.