GCF of 7955/451, 9633/4087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7955/451, 9633/4087 i.e 1/1843237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7955/451, 9633/4087.
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 7955/451,9633/4087?
Given fractions are 7955/451,9633/4087
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 7955/451,9633/4087, numerators are 7955,9633
Denominators are 451,4087
The GCF of 7955,9633 is 1 .
LCM of 451,4087 is 1843237.
The greatest common factor of 7955/451,9633/4087 = [GCF of 7955,9633]/[LCM of 451,4087]= 1/1843237
Therefore, the GCF of 7955/451,9633/4087 is 1/1843237.
To find the highest common factor of 7955,9633, we have to find the factors of both numbers and list the highest common factor.
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633
The HCF of 7955,9633 is 1.
Lets's calculate GCF of 7955,9633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7955,9633 By Matching Biggest Common Factor Method
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Now, list down the factors of 9633
:1,3,13,19,39,57,169,247,507,741,3211,9633
Greatest Common Factor
We found the factors 7955,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,9633 is 1.
Lets's calculate LCM of 451,4087
Given numbers has no common factors except 1. So, there LCM is their product i.e 1843237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1843237
Therefore, the GCF of Fractions 7955/451,9633/4087 is 1/1843237
Least Common Multiple of 451,4087 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 451,4087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,4087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,4087) x common factors =1 x 1 = 1
LCM(451,4087) = ( 451 × 4087 ) / 1
LCM(451,4087) = 1843237 / 1
LCM(451,4087) = 1843237
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FAQs on GCF of Fractions of 7955/451, 9633/4087
1. What is the HCF of 7955,9633?
The HCF of 7955,9633 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 7955/451, 9633/4087?
Answer: GCF of Numerators as per given numbers 7955/451, 9633/4087 is
GCF of Numerators i.e. for 7955,9633 is 1
LCM of denominators i.e. for 451,4087 is 1843237.
Thus, GCF of Fractions is 1/1843237.Finally, GCF of Fractions for 7955/451, 9633/4087 is 1/1843237.