Use our free GCF of Fractions Calculator tool to compute the GCF of 856/556, 169/101 i.e 1/56156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/556, 169/101.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/556,169/101
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 856/556,169/101, numerators are 856,169
Denominators are 556,101
The GCF of 856,169 is 1 .
LCM of 556,101 is 56156.
The greatest common factor of 856/556,169/101 = [GCF of 856,169]/[LCM of 556,101]= 1/56156
Therefore, the GCF of 856/556,169/101 is 1/56156.
To find the highest common factor of 856,169, 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 169 are 1, 13, 169
The HCF of 856,169 is 1.
Lets's calculate GCF of 856,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 856,169 . The biggest common factor number is the GCF number.
So the greatest common factor 856,169 is 1.
Lets's calculate LCM of 556,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 56156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56156
Therefore, the GCF of Fractions 856/556,169/101 is 1/56156
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 556,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,101) x common factors =1 x 1 = 1
LCM(556,101) = ( 556 × 101 ) / 1
LCM(556,101) = 56156 / 1
LCM(556,101) = 56156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 856,169?
The HCF of 856,169 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 856/556, 169/101?
Answer: GCF of Numerators as per given numbers 856/556, 169/101 is
GCF of Numerators i.e. for 856,169 is 1
LCM of denominators i.e. for 556,101 is 56156.
Thus, GCF of Fractions is 1/56156.Finally, GCF of Fractions for 856/556, 169/101 is 1/56156.