GCF of 5872/337, 9392/5890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5872/337, 9392/5890 i.e 16/1984930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5872/337, 9392/5890.
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 5872/337,9392/5890?
Given fractions are 5872/337,9392/5890
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 5872/337,9392/5890, numerators are 5872,9392
Denominators are 337,5890
The GCF of 5872,9392 is 16 .
LCM of 337,5890 is 1984930.
The greatest common factor of 5872/337,9392/5890 = [GCF of 5872,9392]/[LCM of 337,5890]= 16/1984930
Therefore, the GCF of 5872/337,9392/5890 is 16/1984930.
To find the highest common factor of 5872,9392, we have to find the factors of both numbers and list the highest common factor.
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The factors of 9392 are 1, 2, 4, 8, 16, 587, 1174, 2348, 4696, 9392
The HCF of 5872,9392 is 16.
Lets's calculate GCF of 5872,9392
| 2 | 5872, 9392 |
| 2 | 2936, 4696 |
| 2 | 1468, 2348 |
| 2 | 734, 1174 |
| 367, 587 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5872,9392 By Matching Biggest Common Factor Method
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Now, list down the factors of 9392
:1,2,4,8,16,587,1174,2348,4696,9392
Greatest Common Factor
We found the factors 5872,9392 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,9392 is 16.
Lets's calculate LCM of 337,5890
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1984930
Therefore, the GCF of Fractions 5872/337,9392/5890 is 16/1984930
Least Common Multiple of 337,5890 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 337,5890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,5890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,5890) x common factors =1 x 1 = 1
LCM(337,5890) = ( 337 × 5890 ) / 1
LCM(337,5890) = 1984930 / 1
LCM(337,5890) = 1984930
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FAQs on GCF of Fractions of 5872/337, 9392/5890
1. What is the HCF of 5872,9392?
The HCF of 5872,9392 is 16
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 5872/337, 9392/5890?
Answer: GCF of Numerators as per given numbers 5872/337, 9392/5890 is
GCF of Numerators i.e. for 5872,9392 is 16
LCM of denominators i.e. for 337,5890 is 1984930.
Thus, GCF of Fractions is 16/1984930.Finally, GCF of Fractions for 5872/337, 9392/5890 is 16/1984930.