GCF of 6453/735, 4991/6751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6453/735, 4991/6751 i.e 1/4961985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6453/735, 4991/6751.
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 6453/735,4991/6751?
Given fractions are 6453/735,4991/6751
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 6453/735,4991/6751, numerators are 6453,4991
Denominators are 735,6751
The GCF of 6453,4991 is 1 .
LCM of 735,6751 is 4961985.
The greatest common factor of 6453/735,4991/6751 = [GCF of 6453,4991]/[LCM of 735,6751]= 1/4961985
Therefore, the GCF of 6453/735,4991/6751 is 1/4961985.
To find the highest common factor of 6453,4991, we have to find the factors of both numbers and list the highest common factor.
The factors of 6453 are 1, 3, 9, 27, 239, 717, 2151, 6453
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The HCF of 6453,4991 is 1.
Lets's calculate GCF of 6453,4991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6453,4991 By Matching Biggest Common Factor Method
Now, list down the factors of 6453
:1,3,9,27,239,717,2151,6453
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Greatest Common Factor
We found the factors 6453,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 6453,4991 is 1.
Lets's calculate LCM of 735,6751
Given numbers has no common factors except 1. So, there LCM is their product i.e 4961985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4961985
Therefore, the GCF of Fractions 6453/735,4991/6751 is 1/4961985
Least Common Multiple of 735,6751 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 735,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,6751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,6751) x common factors =1 x 1 = 1
LCM(735,6751) = ( 735 × 6751 ) / 1
LCM(735,6751) = 4961985 / 1
LCM(735,6751) = 4961985
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FAQs on GCF of Fractions of 6453/735, 4991/6751
1. What is the HCF of 6453,4991?
The HCF of 6453,4991 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 6453/735, 4991/6751?
Answer: GCF of Numerators as per given numbers 6453/735, 4991/6751 is
GCF of Numerators i.e. for 6453,4991 is 1
LCM of denominators i.e. for 735,6751 is 4961985.
Thus, GCF of Fractions is 1/4961985.Finally, GCF of Fractions for 6453/735, 4991/6751 is 1/4961985.