Use our free GCF of Fractions Calculator tool to compute the GCF of 2924/276, 7718/9064 i.e 34/625416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2924/276, 7718/9064.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2924/276,7718/9064
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 2924/276,7718/9064, numerators are 2924,7718
Denominators are 276,9064
The GCF of 2924,7718 is 34 .
LCM of 276,9064 is 625416.
The greatest common factor of 2924/276,7718/9064 = [GCF of 2924,7718]/[LCM of 276,9064]= 34/625416
Therefore, the GCF of 2924/276,7718/9064 is 34/625416.
To find the highest common factor of 2924,7718, we have to find the factors of both numbers and list the highest common factor.
The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The HCF of 2924,7718 is 34.
Lets's calculate GCF of 2924,7718
2 | 2924, 7718 |
17 | 1462, 3859 |
86, 227 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Now, list down the factors of 2924
:1,2,4,17,34,43,68,86,172,731,1462,2924
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Greatest Common Factor
We found the factors 2924,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 2924,7718 is 34.
Lets's calculate LCM of 276,9064
2 | 276, 9064 |
2 | 138, 4532 |
69, 2266 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 2266 = 625416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/625416
Therefore, the GCF of Fractions 2924/276,7718/9064 is 34/625416
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 276,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,9064) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,9064) x common factors =4 x 1 = 4
LCM(276,9064) = ( 276 × 9064 ) / 4
LCM(276,9064) = 2501664 / 4
LCM(276,9064) = 625416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2924,7718?
The HCF of 2924,7718 is 34
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 2924/276, 7718/9064?
Answer: GCF of Numerators as per given numbers 2924/276, 7718/9064 is
GCF of Numerators i.e. for 2924,7718 is 34
LCM of denominators i.e. for 276,9064 is 625416.
Thus, GCF of Fractions is 34/625416.Finally, GCF of Fractions for 2924/276, 7718/9064 is 34/625416.