GCF of 4004/622, 7824/5688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4004/622, 7824/5688 i.e 4/1768968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4004/622, 7824/5688.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4004/622,7824/5688?
Given fractions are 4004/622,7824/5688
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 4004/622,7824/5688, numerators are 4004,7824
Denominators are 622,5688
The GCF of 4004,7824 is 4 .
LCM of 622,5688 is 1768968.
The greatest common factor of 4004/622,7824/5688 = [GCF of 4004,7824]/[LCM of 622,5688]= 4/1768968
Therefore, the GCF of 4004/622,7824/5688 is 4/1768968.
To find the highest common factor of 4004,7824, we have to find the factors of both numbers and list the highest common factor.
The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004
The factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
The HCF of 4004,7824 is 4.
Lets's calculate GCF of 4004,7824
| 2 | 4004, 7824 |
| 2 | 2002, 3912 |
| 1001, 1956 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4004,7824 By Matching Biggest Common Factor Method
Now, list down the factors of 4004
:1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004
Now, list down the factors of 7824
:1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824
Greatest Common Factor
We found the factors 4004,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 4004,7824 is 4.
Lets's calculate LCM of 622,5688
| 2 | 622, 5688 |
| 311, 2844 |
∴ So the LCM of the given numbers is 2 x 311 x 2844 = 1768968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1768968
Therefore, the GCF of Fractions 4004/622,7824/5688 is 4/1768968
Least Common Multiple of 622,5688 with GCF Formula
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 622,5688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,5688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,5688) x common factors =2 x 1 = 2
LCM(622,5688) = ( 622 × 5688 ) / 2
LCM(622,5688) = 3537936 / 2
LCM(622,5688) = 1768968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4004/622, 7824/5688
1. What is the HCF of 4004,7824?
The HCF of 4004,7824 is 4
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 4004/622, 7824/5688?
Answer: GCF of Numerators as per given numbers 4004/622, 7824/5688 is
GCF of Numerators i.e. for 4004,7824 is 4
LCM of denominators i.e. for 622,5688 is 1768968.
Thus, GCF of Fractions is 4/1768968.Finally, GCF of Fractions for 4004/622, 7824/5688 is 4/1768968.