Use our free GCF of Fractions Calculator tool to compute the GCF of 884/531, 217/429 i.e 1/75933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/531, 217/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/531,217/429
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 884/531,217/429, numerators are 884,217
Denominators are 531,429
The GCF of 884,217 is 1 .
LCM of 531,429 is 75933.
The greatest common factor of 884/531,217/429 = [GCF of 884,217]/[LCM of 531,429]= 1/75933
Therefore, the GCF of 884/531,217/429 is 1/75933.
To find the highest common factor of 884,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 217 are 1, 7, 31, 217
The HCF of 884,217 is 1.
Lets's calculate GCF of 884,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 884,217 . The biggest common factor number is the GCF number.
So the greatest common factor 884,217 is 1.
Lets's calculate LCM of 531,429
3 | 531, 429 |
177, 143 |
∴ So the LCM of the given numbers is 3 x 177 x 143 = 75933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75933
Therefore, the GCF of Fractions 884/531,217/429 is 1/75933
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 531,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,429) x common factors =3 x 1 = 3
LCM(531,429) = ( 531 × 429 ) / 3
LCM(531,429) = 227799 / 3
LCM(531,429) = 75933
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 884,217?
The HCF of 884,217 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 884/531, 217/429?
Answer: GCF of Numerators as per given numbers 884/531, 217/429 is
GCF of Numerators i.e. for 884,217 is 1
LCM of denominators i.e. for 531,429 is 75933.
Thus, GCF of Fractions is 1/75933.Finally, GCF of Fractions for 884/531, 217/429 is 1/75933.