GCF of 3690/973, 5340/9555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3690/973, 5340/9555 i.e 30/1328145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3690/973, 5340/9555.
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 3690/973,5340/9555?
Given fractions are 3690/973,5340/9555
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 3690/973,5340/9555, numerators are 3690,5340
Denominators are 973,9555
The GCF of 3690,5340 is 30 .
LCM of 973,9555 is 1328145.
The greatest common factor of 3690/973,5340/9555 = [GCF of 3690,5340]/[LCM of 973,9555]= 30/1328145
Therefore, the GCF of 3690/973,5340/9555 is 30/1328145.
To find the highest common factor of 3690,5340, we have to find the factors of both numbers and list the highest common factor.
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The HCF of 3690,5340 is 30.
Lets's calculate GCF of 3690,5340
| 2 | 3690, 5340 |
| 3 | 1845, 2670 |
| 5 | 615, 890 |
| 123, 178 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3690,5340 By Matching Biggest Common Factor Method
Now, list down the factors of 3690
:1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 3690,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,5340 is 30.
Lets's calculate LCM of 973,9555
| 7 | 973, 9555 |
| 139, 1365 |
∴ So the LCM of the given numbers is 7 x 139 x 1365 = 1328145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1328145
Therefore, the GCF of Fractions 3690/973,5340/9555 is 30/1328145
Least Common Multiple of 973,9555 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 973,9555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,9555) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,9555) x common factors =7 x 1 = 7
LCM(973,9555) = ( 973 × 9555 ) / 7
LCM(973,9555) = 9297015 / 7
LCM(973,9555) = 1328145
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FAQs on GCF of Fractions of 3690/973, 5340/9555
1. What is the HCF of 3690,5340?
The HCF of 3690,5340 is 30
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 3690/973, 5340/9555?
Answer: GCF of Numerators as per given numbers 3690/973, 5340/9555 is
GCF of Numerators i.e. for 3690,5340 is 30
LCM of denominators i.e. for 973,9555 is 1328145.
Thus, GCF of Fractions is 30/1328145.Finally, GCF of Fractions for 3690/973, 5340/9555 is 30/1328145.