GCF of 7548/909, 9590/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7548/909, 9590/216 i.e 2/21816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7548/909, 9590/216.
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 7548/909,9590/216?
Given fractions are 7548/909,9590/216
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 7548/909,9590/216, numerators are 7548,9590
Denominators are 909,216
The GCF of 7548,9590 is 2 .
LCM of 909,216 is 21816.
The greatest common factor of 7548/909,9590/216 = [GCF of 7548,9590]/[LCM of 909,216]= 2/21816
Therefore, the GCF of 7548/909,9590/216 is 2/21816.
To find the highest common factor of 7548,9590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 7548,9590 is 2.
Lets's calculate GCF of 7548,9590
| 2 | 7548, 9590 |
| 3774, 4795 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7548,9590 By Matching Biggest Common Factor Method
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 7548,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 7548,9590 is 2.
Lets's calculate LCM of 909,216
| 3 | 909, 216 |
| 3 | 303, 72 |
| 101, 24 |
∴ So the LCM of the given numbers is 3 x 3 x 101 x 24 = 21816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21816
Therefore, the GCF of Fractions 7548/909,9590/216 is 2/21816
Least Common Multiple of 909,216 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 909,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,216) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(909,216) x common factors =9 x 1 = 9
LCM(909,216) = ( 909 × 216 ) / 9
LCM(909,216) = 196344 / 9
LCM(909,216) = 21816
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FAQs on GCF of Fractions of 7548/909, 9590/216
1. What is the HCF of 7548,9590?
The HCF of 7548,9590 is 2
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 7548/909, 9590/216?
Answer: GCF of Numerators as per given numbers 7548/909, 9590/216 is
GCF of Numerators i.e. for 7548,9590 is 2
LCM of denominators i.e. for 909,216 is 21816.
Thus, GCF of Fractions is 2/21816.Finally, GCF of Fractions for 7548/909, 9590/216 is 2/21816.