Use our free GCF of Fractions Calculator tool to compute the GCF of 651/351, 987/884 i.e 21/23868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/351, 987/884.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 651/351,987/884
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 651/351,987/884, numerators are 651,987
Denominators are 351,884
The GCF of 651,987 is 21 .
LCM of 351,884 is 23868.
The greatest common factor of 651/351,987/884 = [GCF of 651,987]/[LCM of 351,884]= 21/23868
Therefore, the GCF of 651/351,987/884 is 21/23868.
To find the highest common factor of 651,987, we have to find the factors of both numbers and list the highest common factor.
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987
The HCF of 651,987 is 21.
Lets's calculate GCF of 651,987
3 | 651, 987 |
7 | 217, 329 |
31, 47 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 987
:1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 651,987 . The biggest common factor number is the GCF number.
So the greatest common factor 651,987 is 21.
Lets's calculate LCM of 351,884
13 | 351, 884 |
27, 68 |
∴ So the LCM of the given numbers is 13 x 27 x 68 = 23868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/23868
Therefore, the GCF of Fractions 651/351,987/884 is 21/23868
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 351,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,884) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(351,884) x common factors =13 x 1 = 13
LCM(351,884) = ( 351 × 884 ) / 13
LCM(351,884) = 310284 / 13
LCM(351,884) = 23868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 651,987?
The HCF of 651,987 is 21
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 651/351, 987/884?
Answer: GCF of Numerators as per given numbers 651/351, 987/884 is
GCF of Numerators i.e. for 651,987 is 21
LCM of denominators i.e. for 351,884 is 23868.
Thus, GCF of Fractions is 21/23868.Finally, GCF of Fractions for 651/351, 987/884 is 21/23868.