GCF of 8284/379, 5705/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8284/379, 5705/511 i.e 1/193669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8284/379, 5705/511.
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 8284/379,5705/511?
Given fractions are 8284/379,5705/511
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 8284/379,5705/511, numerators are 8284,5705
Denominators are 379,511
The GCF of 8284,5705 is 1 .
LCM of 379,511 is 193669.
The greatest common factor of 8284/379,5705/511 = [GCF of 8284,5705]/[LCM of 379,511]= 1/193669
Therefore, the GCF of 8284/379,5705/511 is 1/193669.
To find the highest common factor of 8284,5705, we have to find the factors of both numbers and list the highest common factor.
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705
The HCF of 8284,5705 is 1.
Lets's calculate GCF of 8284,5705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8284,5705 By Matching Biggest Common Factor Method
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Now, list down the factors of 5705
:1,5,7,35,163,815,1141,5705
Greatest Common Factor
We found the factors 8284,5705 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,5705 is 1.
Lets's calculate LCM of 379,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 193669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193669
Therefore, the GCF of Fractions 8284/379,5705/511 is 1/193669
Least Common Multiple of 379,511 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 379,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,511) x common factors =1 x 1 = 1
LCM(379,511) = ( 379 × 511 ) / 1
LCM(379,511) = 193669 / 1
LCM(379,511) = 193669
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FAQs on GCF of Fractions of 8284/379, 5705/511
1. What is the HCF of 8284,5705?
The HCF of 8284,5705 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 8284/379, 5705/511?
Answer: GCF of Numerators as per given numbers 8284/379, 5705/511 is
GCF of Numerators i.e. for 8284,5705 is 1
LCM of denominators i.e. for 379,511 is 193669.
Thus, GCF of Fractions is 1/193669.Finally, GCF of Fractions for 8284/379, 5705/511 is 1/193669.