GCF of 7952/631, 8405/2505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7952/631, 8405/2505 i.e 1/1580655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7952/631, 8405/2505.
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 7952/631,8405/2505?
Given fractions are 7952/631,8405/2505
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 7952/631,8405/2505, numerators are 7952,8405
Denominators are 631,2505
The GCF of 7952,8405 is 1 .
LCM of 631,2505 is 1580655.
The greatest common factor of 7952/631,8405/2505 = [GCF of 7952,8405]/[LCM of 631,2505]= 1/1580655
Therefore, the GCF of 7952/631,8405/2505 is 1/1580655.
To find the highest common factor of 7952,8405, we have to find the factors of both numbers and list the highest common factor.
The factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952
The factors of 8405 are 1, 5, 41, 205, 1681, 8405
The HCF of 7952,8405 is 1.
Lets's calculate GCF of 7952,8405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7952,8405 By Matching Biggest Common Factor Method
Now, list down the factors of 7952
:1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952
Now, list down the factors of 8405
:1,5,41,205,1681,8405
Greatest Common Factor
We found the factors 7952,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 7952,8405 is 1.
Lets's calculate LCM of 631,2505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1580655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1580655
Therefore, the GCF of Fractions 7952/631,8405/2505 is 1/1580655
Least Common Multiple of 631,2505 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 631,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,2505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,2505) x common factors =1 x 1 = 1
LCM(631,2505) = ( 631 × 2505 ) / 1
LCM(631,2505) = 1580655 / 1
LCM(631,2505) = 1580655
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FAQs on GCF of Fractions of 7952/631, 8405/2505
1. What is the HCF of 7952,8405?
The HCF of 7952,8405 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 7952/631, 8405/2505?
Answer: GCF of Numerators as per given numbers 7952/631, 8405/2505 is
GCF of Numerators i.e. for 7952,8405 is 1
LCM of denominators i.e. for 631,2505 is 1580655.
Thus, GCF of Fractions is 1/1580655.Finally, GCF of Fractions for 7952/631, 8405/2505 is 1/1580655.