GCF of 6462/956, 7045/5369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6462/956, 7045/5369 i.e 1/5132764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6462/956, 7045/5369.
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 6462/956,7045/5369?
Given fractions are 6462/956,7045/5369
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 6462/956,7045/5369, numerators are 6462,7045
Denominators are 956,5369
The GCF of 6462,7045 is 1 .
LCM of 956,5369 is 5132764.
The greatest common factor of 6462/956,7045/5369 = [GCF of 6462,7045]/[LCM of 956,5369]= 1/5132764
Therefore, the GCF of 6462/956,7045/5369 is 1/5132764.
To find the highest common factor of 6462,7045, we have to find the factors of both numbers and list the highest common factor.
The factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
The factors of 7045 are 1, 5, 1409, 7045
The HCF of 6462,7045 is 1.
Lets's calculate GCF of 6462,7045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6462,7045 By Matching Biggest Common Factor Method
Now, list down the factors of 6462
:1,2,3,6,9,18,359,718,1077,2154,3231,6462
Now, list down the factors of 7045
:1,5,1409,7045
Greatest Common Factor
We found the factors 6462,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 6462,7045 is 1.
Lets's calculate LCM of 956,5369
Given numbers has no common factors except 1. So, there LCM is their product i.e 5132764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5132764
Therefore, the GCF of Fractions 6462/956,7045/5369 is 1/5132764
Least Common Multiple of 956,5369 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 956,5369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,5369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,5369) x common factors =1 x 1 = 1
LCM(956,5369) = ( 956 × 5369 ) / 1
LCM(956,5369) = 5132764 / 1
LCM(956,5369) = 5132764
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FAQs on GCF of Fractions of 6462/956, 7045/5369
1. What is the HCF of 6462,7045?
The HCF of 6462,7045 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 6462/956, 7045/5369?
Answer: GCF of Numerators as per given numbers 6462/956, 7045/5369 is
GCF of Numerators i.e. for 6462,7045 is 1
LCM of denominators i.e. for 956,5369 is 5132764.
Thus, GCF of Fractions is 1/5132764.Finally, GCF of Fractions for 6462/956, 7045/5369 is 1/5132764.