GCF of 1743/684, 9216/1597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1743/684, 9216/1597 i.e 3/1092348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1743/684, 9216/1597.
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 1743/684,9216/1597?
Given fractions are 1743/684,9216/1597
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 1743/684,9216/1597, numerators are 1743,9216
Denominators are 684,1597
The GCF of 1743,9216 is 3 .
LCM of 684,1597 is 1092348.
The greatest common factor of 1743/684,9216/1597 = [GCF of 1743,9216]/[LCM of 684,1597]= 3/1092348
Therefore, the GCF of 1743/684,9216/1597 is 3/1092348.
To find the highest common factor of 1743,9216, we have to find the factors of both numbers and list the highest common factor.
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 1743,9216 is 3.
Lets's calculate GCF of 1743,9216
| 3 | 1743, 9216 |
| 581, 3072 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1743,9216 By Matching Biggest Common Factor Method
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Now, list down the factors of 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 1743,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 1743,9216 is 3.
Lets's calculate LCM of 684,1597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1092348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1092348
Therefore, the GCF of Fractions 1743/684,9216/1597 is 3/1092348
Least Common Multiple of 684,1597 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 684,1597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,1597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,1597) x common factors =1 x 1 = 1
LCM(684,1597) = ( 684 × 1597 ) / 1
LCM(684,1597) = 1092348 / 1
LCM(684,1597) = 1092348
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FAQs on GCF of Fractions of 1743/684, 9216/1597
1. What is the HCF of 1743,9216?
The HCF of 1743,9216 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 1743/684, 9216/1597?
Answer: GCF of Numerators as per given numbers 1743/684, 9216/1597 is
GCF of Numerators i.e. for 1743,9216 is 3
LCM of denominators i.e. for 684,1597 is 1092348.
Thus, GCF of Fractions is 3/1092348.Finally, GCF of Fractions for 1743/684, 9216/1597 is 3/1092348.