GCF of 9468/205, 1767/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9468/205, 1767/937 i.e 3/192085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9468/205, 1767/937.
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 9468/205,1767/937?
Given fractions are 9468/205,1767/937
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 9468/205,1767/937, numerators are 9468,1767
Denominators are 205,937
The GCF of 9468,1767 is 3 .
LCM of 205,937 is 192085.
The greatest common factor of 9468/205,1767/937 = [GCF of 9468,1767]/[LCM of 205,937]= 3/192085
Therefore, the GCF of 9468/205,1767/937 is 3/192085.
To find the highest common factor of 9468,1767, we have to find the factors of both numbers and list the highest common factor.
The factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The HCF of 9468,1767 is 3.
Lets's calculate GCF of 9468,1767
| 3 | 9468, 1767 |
| 3156, 589 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9468,1767 By Matching Biggest Common Factor Method
Now, list down the factors of 9468
:1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors 9468,1767 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,1767 is 3.
Lets's calculate LCM of 205,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 192085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/192085
Therefore, the GCF of Fractions 9468/205,1767/937 is 3/192085
Least Common Multiple of 205,937 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 205,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,937) x common factors =1 x 1 = 1
LCM(205,937) = ( 205 × 937 ) / 1
LCM(205,937) = 192085 / 1
LCM(205,937) = 192085
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FAQs on GCF of Fractions of 9468/205, 1767/937
1. What is the HCF of 9468,1767?
The HCF of 9468,1767 is 3
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 9468/205, 1767/937?
Answer: GCF of Numerators as per given numbers 9468/205, 1767/937 is
GCF of Numerators i.e. for 9468,1767 is 3
LCM of denominators i.e. for 205,937 is 192085.
Thus, GCF of Fractions is 3/192085.Finally, GCF of Fractions for 9468/205, 1767/937 is 3/192085.