GCF of 8464/454, 6705/6539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8464/454, 6705/6539 i.e 1/2968706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8464/454, 6705/6539.
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 8464/454,6705/6539?
Given fractions are 8464/454,6705/6539
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 8464/454,6705/6539, numerators are 8464,6705
Denominators are 454,6539
The GCF of 8464,6705 is 1 .
LCM of 454,6539 is 2968706.
The greatest common factor of 8464/454,6705/6539 = [GCF of 8464,6705]/[LCM of 454,6539]= 1/2968706
Therefore, the GCF of 8464/454,6705/6539 is 1/2968706.
To find the highest common factor of 8464,6705, we have to find the factors of both numbers and list the highest common factor.
The factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464
The factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
The HCF of 8464,6705 is 1.
Lets's calculate GCF of 8464,6705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8464,6705 By Matching Biggest Common Factor Method
Now, list down the factors of 8464
:1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464
Now, list down the factors of 6705
:1,3,5,9,15,45,149,447,745,1341,2235,6705
Greatest Common Factor
We found the factors 8464,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 8464,6705 is 1.
Lets's calculate LCM of 454,6539
Given numbers has no common factors except 1. So, there LCM is their product i.e 2968706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2968706
Therefore, the GCF of Fractions 8464/454,6705/6539 is 1/2968706
Least Common Multiple of 454,6539 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 454,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6539) x common factors =1 x 1 = 1
LCM(454,6539) = ( 454 × 6539 ) / 1
LCM(454,6539) = 2968706 / 1
LCM(454,6539) = 2968706
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FAQs on GCF of Fractions of 8464/454, 6705/6539
1. What is the HCF of 8464,6705?
The HCF of 8464,6705 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 8464/454, 6705/6539?
Answer: GCF of Numerators as per given numbers 8464/454, 6705/6539 is
GCF of Numerators i.e. for 8464,6705 is 1
LCM of denominators i.e. for 454,6539 is 2968706.
Thus, GCF of Fractions is 1/2968706.Finally, GCF of Fractions for 8464/454, 6705/6539 is 1/2968706.