Use our free GCF of Fractions Calculator tool to compute the GCF of 924/262, 979/928 i.e 11/121568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/262, 979/928.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/262,979/928
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 924/262,979/928, numerators are 924,979
Denominators are 262,928
The GCF of 924,979 is 11 .
LCM of 262,928 is 121568.
The greatest common factor of 924/262,979/928 = [GCF of 924,979]/[LCM of 262,928]= 11/121568
Therefore, the GCF of 924/262,979/928 is 11/121568.
To find the highest common factor of 924,979, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 979 are 1, 11, 89, 979
The HCF of 924,979 is 11.
Lets's calculate GCF of 924,979
11 | 924, 979 |
84, 89 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 979
:1,11,89,979
Greatest Common Factor
We found the factors 924,979 . The biggest common factor number is the GCF number.
So the greatest common factor 924,979 is 11.
Lets's calculate LCM of 262,928
2 | 262, 928 |
131, 464 |
∴ So the LCM of the given numbers is 2 x 131 x 464 = 121568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121568
Therefore, the GCF of Fractions 924/262,979/928 is 11/121568
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 262,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,928) x common factors =2 x 1 = 2
LCM(262,928) = ( 262 × 928 ) / 2
LCM(262,928) = 243136 / 2
LCM(262,928) = 121568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 924,979?
The HCF of 924,979 is 11
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 924/262, 979/928?
Answer: GCF of Numerators as per given numbers 924/262, 979/928 is
GCF of Numerators i.e. for 924,979 is 11
LCM of denominators i.e. for 262,928 is 121568.
Thus, GCF of Fractions is 11/121568.Finally, GCF of Fractions for 924/262, 979/928 is 11/121568.