GCF of 7324/522, 3360/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7324/522, 3360/992 i.e 4/258912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7324/522, 3360/992.
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 7324/522,3360/992?
Given fractions are 7324/522,3360/992
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 7324/522,3360/992, numerators are 7324,3360
Denominators are 522,992
The GCF of 7324,3360 is 4 .
LCM of 522,992 is 258912.
The greatest common factor of 7324/522,3360/992 = [GCF of 7324,3360]/[LCM of 522,992]= 4/258912
Therefore, the GCF of 7324/522,3360/992 is 4/258912.
To find the highest common factor of 7324,3360, we have to find the factors of both numbers and list the highest common factor.
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360
The HCF of 7324,3360 is 4.
Lets's calculate GCF of 7324,3360
| 2 | 7324, 3360 |
| 2 | 3662, 1680 |
| 1831, 840 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7324,3360 By Matching Biggest Common Factor Method
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Now, list down the factors of 3360
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Greatest Common Factor
We found the factors 7324,3360 . The biggest common factor number is the GCF number.
So the greatest common factor 7324,3360 is 4.
Lets's calculate LCM of 522,992
| 2 | 522, 992 |
| 261, 496 |
∴ So the LCM of the given numbers is 2 x 261 x 496 = 258912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/258912
Therefore, the GCF of Fractions 7324/522,3360/992 is 4/258912
Least Common Multiple of 522,992 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 522,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,992) x common factors =2 x 1 = 2
LCM(522,992) = ( 522 × 992 ) / 2
LCM(522,992) = 517824 / 2
LCM(522,992) = 258912
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FAQs on GCF of Fractions of 7324/522, 3360/992
1. What is the HCF of 7324,3360?
The HCF of 7324,3360 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 7324/522, 3360/992?
Answer: GCF of Numerators as per given numbers 7324/522, 3360/992 is
GCF of Numerators i.e. for 7324,3360 is 4
LCM of denominators i.e. for 522,992 is 258912.
Thus, GCF of Fractions is 4/258912.Finally, GCF of Fractions for 7324/522, 3360/992 is 4/258912.