Use our free GCF of Fractions Calculator tool to compute the GCF of 488/699, 527/237 i.e 1/55221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/699, 527/237.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/699,527/237
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 488/699,527/237, numerators are 488,527
Denominators are 699,237
The GCF of 488,527 is 1 .
LCM of 699,237 is 55221.
The greatest common factor of 488/699,527/237 = [GCF of 488,527]/[LCM of 699,237]= 1/55221
Therefore, the GCF of 488/699,527/237 is 1/55221.
To find the highest common factor of 488,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 527 are 1, 17, 31, 527
The HCF of 488,527 is 1.
Lets's calculate GCF of 488,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 488,527 . The biggest common factor number is the GCF number.
So the greatest common factor 488,527 is 1.
Lets's calculate LCM of 699,237
3 | 699, 237 |
233, 79 |
∴ So the LCM of the given numbers is 3 x 233 x 79 = 55221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55221
Therefore, the GCF of Fractions 488/699,527/237 is 1/55221
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 699,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,237) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,237) x common factors =3 x 1 = 3
LCM(699,237) = ( 699 × 237 ) / 3
LCM(699,237) = 165663 / 3
LCM(699,237) = 55221
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 488,527?
The HCF of 488,527 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 488/699, 527/237?
Answer: GCF of Numerators as per given numbers 488/699, 527/237 is
GCF of Numerators i.e. for 488,527 is 1
LCM of denominators i.e. for 699,237 is 55221.
Thus, GCF of Fractions is 1/55221.Finally, GCF of Fractions for 488/699, 527/237 is 1/55221.