GCF of 5592/419, 7400/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5592/419, 7400/318 i.e 8/133242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5592/419, 7400/318.
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 5592/419,7400/318?
Given fractions are 5592/419,7400/318
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 5592/419,7400/318, numerators are 5592,7400
Denominators are 419,318
The GCF of 5592,7400 is 8 .
LCM of 419,318 is 133242.
The greatest common factor of 5592/419,7400/318 = [GCF of 5592,7400]/[LCM of 419,318]= 8/133242
Therefore, the GCF of 5592/419,7400/318 is 8/133242.
To find the highest common factor of 5592,7400, we have to find the factors of both numbers and list the highest common factor.
The factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The HCF of 5592,7400 is 8.
Lets's calculate GCF of 5592,7400
| 2 | 5592, 7400 |
| 2 | 2796, 3700 |
| 2 | 1398, 1850 |
| 699, 925 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5592,7400 By Matching Biggest Common Factor Method
Now, list down the factors of 5592
:1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 5592,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 5592,7400 is 8.
Lets's calculate LCM of 419,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 133242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/133242
Therefore, the GCF of Fractions 5592/419,7400/318 is 8/133242
Least Common Multiple of 419,318 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 419,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,318) x common factors =1 x 1 = 1
LCM(419,318) = ( 419 × 318 ) / 1
LCM(419,318) = 133242 / 1
LCM(419,318) = 133242
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FAQs on GCF of Fractions of 5592/419, 7400/318
1. What is the HCF of 5592,7400?
The HCF of 5592,7400 is 8
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 5592/419, 7400/318?
Answer: GCF of Numerators as per given numbers 5592/419, 7400/318 is
GCF of Numerators i.e. for 5592,7400 is 8
LCM of denominators i.e. for 419,318 is 133242.
Thus, GCF of Fractions is 8/133242.Finally, GCF of Fractions for 5592/419, 7400/318 is 8/133242.