GCF of 8394/770, 3591/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8394/770, 3591/314 i.e 3/120890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8394/770, 3591/314.
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 8394/770,3591/314?
Given fractions are 8394/770,3591/314
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 8394/770,3591/314, numerators are 8394,3591
Denominators are 770,314
The GCF of 8394,3591 is 3 .
LCM of 770,314 is 120890.
The greatest common factor of 8394/770,3591/314 = [GCF of 8394,3591]/[LCM of 770,314]= 3/120890
Therefore, the GCF of 8394/770,3591/314 is 3/120890.
To find the highest common factor of 8394,3591, we have to find the factors of both numbers and list the highest common factor.
The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394
The factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
The HCF of 8394,3591 is 3.
Lets's calculate GCF of 8394,3591
| 3 | 8394, 3591 |
| 2798, 1197 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8394,3591 By Matching Biggest Common Factor Method
Now, list down the factors of 8394
:1,2,3,6,1399,2798,4197,8394
Now, list down the factors of 3591
:1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591
Greatest Common Factor
We found the factors 8394,3591 . The biggest common factor number is the GCF number.
So the greatest common factor 8394,3591 is 3.
Lets's calculate LCM of 770,314
| 2 | 770, 314 |
| 385, 157 |
∴ So the LCM of the given numbers is 2 x 385 x 157 = 120890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/120890
Therefore, the GCF of Fractions 8394/770,3591/314 is 3/120890
Least Common Multiple of 770,314 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 770,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,314) x common factors =2 x 1 = 2
LCM(770,314) = ( 770 × 314 ) / 2
LCM(770,314) = 241780 / 2
LCM(770,314) = 120890
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FAQs on GCF of Fractions of 8394/770, 3591/314
1. What is the HCF of 8394,3591?
The HCF of 8394,3591 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 8394/770, 3591/314?
Answer: GCF of Numerators as per given numbers 8394/770, 3591/314 is
GCF of Numerators i.e. for 8394,3591 is 3
LCM of denominators i.e. for 770,314 is 120890.
Thus, GCF of Fractions is 3/120890.Finally, GCF of Fractions for 8394/770, 3591/314 is 3/120890.