GCF of 9128/400, 5292/3748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9128/400, 5292/3748 i.e 28/374800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/400, 5292/3748.
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 9128/400,5292/3748?
Given fractions are 9128/400,5292/3748
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 9128/400,5292/3748, numerators are 9128,5292
Denominators are 400,3748
The GCF of 9128,5292 is 28 .
LCM of 400,3748 is 374800.
The greatest common factor of 9128/400,5292/3748 = [GCF of 9128,5292]/[LCM of 400,3748]= 28/374800
Therefore, the GCF of 9128/400,5292/3748 is 28/374800.
To find the highest common factor of 9128,5292, we have to find the factors of both numbers and list the highest common factor.
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292
The HCF of 9128,5292 is 28.
Lets's calculate GCF of 9128,5292
| 2 | 9128, 5292 |
| 2 | 4564, 2646 |
| 7 | 2282, 1323 |
| 326, 189 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9128,5292 By Matching Biggest Common Factor Method
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Now, list down the factors of 5292
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Greatest Common Factor
We found the factors 9128,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,5292 is 28.
Lets's calculate LCM of 400,3748
| 2 | 400, 3748 |
| 2 | 200, 1874 |
| 100, 937 |
∴ So the LCM of the given numbers is 2 x 2 x 100 x 937 = 374800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/374800
Therefore, the GCF of Fractions 9128/400,5292/3748 is 28/374800
Least Common Multiple of 400,3748 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 400,3748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,3748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(400,3748) x common factors =4 x 1 = 4
LCM(400,3748) = ( 400 × 3748 ) / 4
LCM(400,3748) = 1499200 / 4
LCM(400,3748) = 374800
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9128/400, 5292/3748
1. What is the HCF of 9128,5292?
The HCF of 9128,5292 is 28
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 9128/400, 5292/3748?
Answer: GCF of Numerators as per given numbers 9128/400, 5292/3748 is
GCF of Numerators i.e. for 9128,5292 is 28
LCM of denominators i.e. for 400,3748 is 374800.
Thus, GCF of Fractions is 28/374800.Finally, GCF of Fractions for 9128/400, 5292/3748 is 28/374800.