GCF of 9204/112, 4540/3660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9204/112, 4540/3660 i.e 4/102480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9204/112, 4540/3660.
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 9204/112,4540/3660?
Given fractions are 9204/112,4540/3660
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 9204/112,4540/3660, numerators are 9204,4540
Denominators are 112,3660
The GCF of 9204,4540 is 4 .
LCM of 112,3660 is 102480.
The greatest common factor of 9204/112,4540/3660 = [GCF of 9204,4540]/[LCM of 112,3660]= 4/102480
Therefore, the GCF of 9204/112,4540/3660 is 4/102480.
To find the highest common factor of 9204,4540, we have to find the factors of both numbers and list the highest common factor.
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540
The HCF of 9204,4540 is 4.
Lets's calculate GCF of 9204,4540
| 2 | 9204, 4540 |
| 2 | 4602, 2270 |
| 2301, 1135 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9204,4540 By Matching Biggest Common Factor Method
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Now, list down the factors of 4540
:1,2,4,5,10,20,227,454,908,1135,2270,4540
Greatest Common Factor
We found the factors 9204,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,4540 is 4.
Lets's calculate LCM of 112,3660
| 2 | 112, 3660 |
| 2 | 56, 1830 |
| 28, 915 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 915 = 102480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/102480
Therefore, the GCF of Fractions 9204/112,4540/3660 is 4/102480
Least Common Multiple of 112,3660 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 112,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,3660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,3660) x common factors =4 x 1 = 4
LCM(112,3660) = ( 112 × 3660 ) / 4
LCM(112,3660) = 409920 / 4
LCM(112,3660) = 102480
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FAQs on GCF of Fractions of 9204/112, 4540/3660
1. What is the HCF of 9204,4540?
The HCF of 9204,4540 is 4
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 9204/112, 4540/3660?
Answer: GCF of Numerators as per given numbers 9204/112, 4540/3660 is
GCF of Numerators i.e. for 9204,4540 is 4
LCM of denominators i.e. for 112,3660 is 102480.
Thus, GCF of Fractions is 4/102480.Finally, GCF of Fractions for 9204/112, 4540/3660 is 4/102480.