GCF of 8354/779, 9164/3667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8354/779, 9164/3667 i.e 2/150347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8354/779, 9164/3667.
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 8354/779,9164/3667?
Given fractions are 8354/779,9164/3667
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 8354/779,9164/3667, numerators are 8354,9164
Denominators are 779,3667
The GCF of 8354,9164 is 2 .
LCM of 779,3667 is 150347.
The greatest common factor of 8354/779,9164/3667 = [GCF of 8354,9164]/[LCM of 779,3667]= 2/150347
Therefore, the GCF of 8354/779,9164/3667 is 2/150347.
To find the highest common factor of 8354,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 8354 are 1, 2, 4177, 8354
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 8354,9164 is 2.
Lets's calculate GCF of 8354,9164
| 2 | 8354, 9164 |
| 4177, 4582 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8354,9164 By Matching Biggest Common Factor Method
Now, list down the factors of 8354
:1,2,4177,8354
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 8354,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 8354,9164 is 2.
Lets's calculate LCM of 779,3667
| 19 | 779, 3667 |
| 41, 193 |
∴ So the LCM of the given numbers is 19 x 41 x 193 = 150347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150347
Therefore, the GCF of Fractions 8354/779,9164/3667 is 2/150347
Least Common Multiple of 779,3667 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 779,3667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,3667) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(779,3667) x common factors =19 x 1 = 19
LCM(779,3667) = ( 779 × 3667 ) / 19
LCM(779,3667) = 2856593 / 19
LCM(779,3667) = 150347
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FAQs on GCF of Fractions of 8354/779, 9164/3667
1. What is the HCF of 8354,9164?
The HCF of 8354,9164 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 8354/779, 9164/3667?
Answer: GCF of Numerators as per given numbers 8354/779, 9164/3667 is
GCF of Numerators i.e. for 8354,9164 is 2
LCM of denominators i.e. for 779,3667 is 150347.
Thus, GCF of Fractions is 2/150347.Finally, GCF of Fractions for 8354/779, 9164/3667 is 2/150347.