GCF of 4165/783, 9784/1611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4165/783, 9784/1611 i.e 1/140157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4165/783, 9784/1611.
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 4165/783,9784/1611?
Given fractions are 4165/783,9784/1611
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 4165/783,9784/1611, numerators are 4165,9784
Denominators are 783,1611
The GCF of 4165,9784 is 1 .
LCM of 783,1611 is 140157.
The greatest common factor of 4165/783,9784/1611 = [GCF of 4165,9784]/[LCM of 783,1611]= 1/140157
Therefore, the GCF of 4165/783,9784/1611 is 1/140157.
To find the highest common factor of 4165,9784, we have to find the factors of both numbers and list the highest common factor.
The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165
The factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784
The HCF of 4165,9784 is 1.
Lets's calculate GCF of 4165,9784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4165,9784 By Matching Biggest Common Factor Method
Now, list down the factors of 4165
:1,5,7,17,35,49,85,119,245,595,833,4165
Now, list down the factors of 9784
:1,2,4,8,1223,2446,4892,9784
Greatest Common Factor
We found the factors 4165,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 4165,9784 is 1.
Lets's calculate LCM of 783,1611
| 3 | 783, 1611 |
| 3 | 261, 537 |
| 87, 179 |
∴ So the LCM of the given numbers is 3 x 3 x 87 x 179 = 140157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140157
Therefore, the GCF of Fractions 4165/783,9784/1611 is 1/140157
Least Common Multiple of 783,1611 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 783,1611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,1611) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(783,1611) x common factors =9 x 1 = 9
LCM(783,1611) = ( 783 × 1611 ) / 9
LCM(783,1611) = 1261413 / 9
LCM(783,1611) = 140157
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FAQs on GCF of Fractions of 4165/783, 9784/1611
1. What is the HCF of 4165,9784?
The HCF of 4165,9784 is 1
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 4165/783, 9784/1611?
Answer: GCF of Numerators as per given numbers 4165/783, 9784/1611 is
GCF of Numerators i.e. for 4165,9784 is 1
LCM of denominators i.e. for 783,1611 is 140157.
Thus, GCF of Fractions is 1/140157.Finally, GCF of Fractions for 4165/783, 9784/1611 is 1/140157.