Use our free GCF of Fractions Calculator tool to compute the GCF of 167/201, 782/824 i.e 1/165624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/201, 782/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 167/201,782/824
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 167/201,782/824, numerators are 167,782
Denominators are 201,824
The GCF of 167,782 is 1 .
LCM of 201,824 is 165624.
The greatest common factor of 167/201,782/824 = [GCF of 167,782]/[LCM of 201,824]= 1/165624
Therefore, the GCF of 167/201,782/824 is 1/165624.
To find the highest common factor of 167,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 167 are 1, 167
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 167,782 is 1.
Lets's calculate GCF of 167,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 167
:1,167
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 167,782 . The biggest common factor number is the GCF number.
So the greatest common factor 167,782 is 1.
Lets's calculate LCM of 201,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 165624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165624
Therefore, the GCF of Fractions 167/201,782/824 is 1/165624
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 201,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,824) x common factors =1 x 1 = 1
LCM(201,824) = ( 201 × 824 ) / 1
LCM(201,824) = 165624 / 1
LCM(201,824) = 165624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 167,782?
The HCF of 167,782 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 167/201, 782/824?
Answer: GCF of Numerators as per given numbers 167/201, 782/824 is
GCF of Numerators i.e. for 167,782 is 1
LCM of denominators i.e. for 201,824 is 165624.
Thus, GCF of Fractions is 1/165624.Finally, GCF of Fractions for 167/201, 782/824 is 1/165624.