GCF of 5772/975, 9436/1803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5772/975, 9436/1803 i.e 4/585975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5772/975, 9436/1803.
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 5772/975,9436/1803?
Given fractions are 5772/975,9436/1803
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 5772/975,9436/1803, numerators are 5772,9436
Denominators are 975,1803
The GCF of 5772,9436 is 4 .
LCM of 975,1803 is 585975.
The greatest common factor of 5772/975,9436/1803 = [GCF of 5772,9436]/[LCM of 975,1803]= 4/585975
Therefore, the GCF of 5772/975,9436/1803 is 4/585975.
To find the highest common factor of 5772,9436, we have to find the factors of both numbers and list the highest common factor.
The factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The HCF of 5772,9436 is 4.
Lets's calculate GCF of 5772,9436
| 2 | 5772, 9436 |
| 2 | 2886, 4718 |
| 1443, 2359 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5772,9436 By Matching Biggest Common Factor Method
Now, list down the factors of 5772
:1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 5772,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,9436 is 4.
Lets's calculate LCM of 975,1803
| 3 | 975, 1803 |
| 325, 601 |
∴ So the LCM of the given numbers is 3 x 325 x 601 = 585975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/585975
Therefore, the GCF of Fractions 5772/975,9436/1803 is 4/585975
Least Common Multiple of 975,1803 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 975,1803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,1803) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,1803) x common factors =3 x 1 = 3
LCM(975,1803) = ( 975 × 1803 ) / 3
LCM(975,1803) = 1757925 / 3
LCM(975,1803) = 585975
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FAQs on GCF of Fractions of 5772/975, 9436/1803
1. What is the HCF of 5772,9436?
The HCF of 5772,9436 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 5772/975, 9436/1803?
Answer: GCF of Numerators as per given numbers 5772/975, 9436/1803 is
GCF of Numerators i.e. for 5772,9436 is 4
LCM of denominators i.e. for 975,1803 is 585975.
Thus, GCF of Fractions is 4/585975.Finally, GCF of Fractions for 5772/975, 9436/1803 is 4/585975.