GCF of 5552/867, 9400/4552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5552/867, 9400/4552 i.e 8/3946584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5552/867, 9400/4552.
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 5552/867,9400/4552?
Given fractions are 5552/867,9400/4552
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 5552/867,9400/4552, numerators are 5552,9400
Denominators are 867,4552
The GCF of 5552,9400 is 8 .
LCM of 867,4552 is 3946584.
The greatest common factor of 5552/867,9400/4552 = [GCF of 5552,9400]/[LCM of 867,4552]= 8/3946584
Therefore, the GCF of 5552/867,9400/4552 is 8/3946584.
To find the highest common factor of 5552,9400, we have to find the factors of both numbers and list the highest common factor.
The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552
The factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 5552,9400 is 8.
Lets's calculate GCF of 5552,9400
| 2 | 5552, 9400 |
| 2 | 2776, 4700 |
| 2 | 1388, 2350 |
| 694, 1175 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5552,9400 By Matching Biggest Common Factor Method
Now, list down the factors of 5552
:1,2,4,8,16,347,694,1388,2776,5552
Now, list down the factors of 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 5552,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 5552,9400 is 8.
Lets's calculate LCM of 867,4552
Given numbers has no common factors except 1. So, there LCM is their product i.e 3946584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3946584
Therefore, the GCF of Fractions 5552/867,9400/4552 is 8/3946584
Least Common Multiple of 867,4552 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 867,4552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,4552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,4552) x common factors =1 x 1 = 1
LCM(867,4552) = ( 867 × 4552 ) / 1
LCM(867,4552) = 3946584 / 1
LCM(867,4552) = 3946584
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FAQs on GCF of Fractions of 5552/867, 9400/4552
1. What is the HCF of 5552,9400?
The HCF of 5552,9400 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 5552/867, 9400/4552?
Answer: GCF of Numerators as per given numbers 5552/867, 9400/4552 is
GCF of Numerators i.e. for 5552,9400 is 8
LCM of denominators i.e. for 867,4552 is 3946584.
Thus, GCF of Fractions is 8/3946584.Finally, GCF of Fractions for 5552/867, 9400/4552 is 8/3946584.