GCF of 6461/705, 6168/7964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6461/705, 6168/7964 i.e 1/5614620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6461/705, 6168/7964.
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 6461/705,6168/7964?
Given fractions are 6461/705,6168/7964
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 6461/705,6168/7964, numerators are 6461,6168
Denominators are 705,7964
The GCF of 6461,6168 is 1 .
LCM of 705,7964 is 5614620.
The greatest common factor of 6461/705,6168/7964 = [GCF of 6461,6168]/[LCM of 705,7964]= 1/5614620
Therefore, the GCF of 6461/705,6168/7964 is 1/5614620.
To find the highest common factor of 6461,6168, we have to find the factors of both numbers and list the highest common factor.
The factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168
The HCF of 6461,6168 is 1.
Lets's calculate GCF of 6461,6168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6461,6168 By Matching Biggest Common Factor Method
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
Now, list down the factors of 6168
:1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors 6461,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 6461,6168 is 1.
Lets's calculate LCM of 705,7964
Given numbers has no common factors except 1. So, there LCM is their product i.e 5614620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5614620
Therefore, the GCF of Fractions 6461/705,6168/7964 is 1/5614620
Least Common Multiple of 705,7964 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 705,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,7964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,7964) x common factors =1 x 1 = 1
LCM(705,7964) = ( 705 × 7964 ) / 1
LCM(705,7964) = 5614620 / 1
LCM(705,7964) = 5614620
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FAQs on GCF of Fractions of 6461/705, 6168/7964
1. What is the HCF of 6461,6168?
The HCF of 6461,6168 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 6461/705, 6168/7964?
Answer: GCF of Numerators as per given numbers 6461/705, 6168/7964 is
GCF of Numerators i.e. for 6461,6168 is 1
LCM of denominators i.e. for 705,7964 is 5614620.
Thus, GCF of Fractions is 1/5614620.Finally, GCF of Fractions for 6461/705, 6168/7964 is 1/5614620.