GCF of 5459/632, 2367/6751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5459/632, 2367/6751 i.e 1/4266632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5459/632, 2367/6751.
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 5459/632,2367/6751?
Given fractions are 5459/632,2367/6751
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 5459/632,2367/6751, numerators are 5459,2367
Denominators are 632,6751
The GCF of 5459,2367 is 1 .
LCM of 632,6751 is 4266632.
The greatest common factor of 5459/632,2367/6751 = [GCF of 5459,2367]/[LCM of 632,6751]= 1/4266632
Therefore, the GCF of 5459/632,2367/6751 is 1/4266632.
To find the highest common factor of 5459,2367, we have to find the factors of both numbers and list the highest common factor.
The factors of 5459 are 1, 53, 103, 5459
The factors of 2367 are 1, 3, 9, 263, 789, 2367
The HCF of 5459,2367 is 1.
Lets's calculate GCF of 5459,2367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5459,2367 By Matching Biggest Common Factor Method
Now, list down the factors of 5459
:1,53,103,5459
Now, list down the factors of 2367
:1,3,9,263,789,2367
Greatest Common Factor
We found the factors 5459,2367 . The biggest common factor number is the GCF number.
So the greatest common factor 5459,2367 is 1.
Lets's calculate LCM of 632,6751
Given numbers has no common factors except 1. So, there LCM is their product i.e 4266632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4266632
Therefore, the GCF of Fractions 5459/632,2367/6751 is 1/4266632
Least Common Multiple of 632,6751 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 632,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,6751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,6751) x common factors =1 x 1 = 1
LCM(632,6751) = ( 632 × 6751 ) / 1
LCM(632,6751) = 4266632 / 1
LCM(632,6751) = 4266632
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FAQs on GCF of Fractions of 5459/632, 2367/6751
1. What is the HCF of 5459,2367?
The HCF of 5459,2367 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 5459/632, 2367/6751?
Answer: GCF of Numerators as per given numbers 5459/632, 2367/6751 is
GCF of Numerators i.e. for 5459,2367 is 1
LCM of denominators i.e. for 632,6751 is 4266632.
Thus, GCF of Fractions is 1/4266632.Finally, GCF of Fractions for 5459/632, 2367/6751 is 1/4266632.