GCF of 4392/438, 9699/8130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4392/438, 9699/8130 i.e 183/593490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4392/438, 9699/8130.
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 4392/438,9699/8130?
Given fractions are 4392/438,9699/8130
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 4392/438,9699/8130, numerators are 4392,9699
Denominators are 438,8130
The GCF of 4392,9699 is 183 .
LCM of 438,8130 is 593490.
The greatest common factor of 4392/438,9699/8130 = [GCF of 4392,9699]/[LCM of 438,8130]= 183/593490
Therefore, the GCF of 4392/438,9699/8130 is 183/593490.
To find the highest common factor of 4392,9699, we have to find the factors of both numbers and list the highest common factor.
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699
The HCF of 4392,9699 is 183.
Lets's calculate GCF of 4392,9699
| 3 | 4392, 9699 |
| 61 | 1464, 3233 |
| 24, 53 |
∴ So the GCF of the given numbers is 3 x 61 = 183
Greatest Common Factor of 4392,9699 By Matching Biggest Common Factor Method
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Now, list down the factors of 9699
:1,3,53,61,159,183,3233,9699
Greatest Common Factor
We found the factors 4392,9699 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,9699 is 183.
Lets's calculate LCM of 438,8130
| 2 | 438, 8130 |
| 3 | 219, 4065 |
| 73, 1355 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 1355 = 593490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 183/593490
Therefore, the GCF of Fractions 4392/438,9699/8130 is 183/593490
Least Common Multiple of 438,8130 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 438,8130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,8130) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,8130) x common factors =6 x 1 = 6
LCM(438,8130) = ( 438 × 8130 ) / 6
LCM(438,8130) = 3560940 / 6
LCM(438,8130) = 593490
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FAQs on GCF of Fractions of 4392/438, 9699/8130
1. What is the HCF of 4392,9699?
The HCF of 4392,9699 is 183
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 4392/438, 9699/8130?
Answer: GCF of Numerators as per given numbers 4392/438, 9699/8130 is
GCF of Numerators i.e. for 4392,9699 is 183
LCM of denominators i.e. for 438,8130 is 593490.
Thus, GCF of Fractions is 183/593490.Finally, GCF of Fractions for 4392/438, 9699/8130 is 183/593490.