GCF of 7312/107, 5005/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7312/107, 5005/125 i.e 1/13375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7312/107, 5005/125.
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 7312/107,5005/125?
Given fractions are 7312/107,5005/125
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 7312/107,5005/125, numerators are 7312,5005
Denominators are 107,125
The GCF of 7312,5005 is 1 .
LCM of 107,125 is 13375.
The greatest common factor of 7312/107,5005/125 = [GCF of 7312,5005]/[LCM of 107,125]= 1/13375
Therefore, the GCF of 7312/107,5005/125 is 1/13375.
To find the highest common factor of 7312,5005, we have to find the factors of both numbers and list the highest common factor.
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The HCF of 7312,5005 is 1.
Lets's calculate GCF of 7312,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7312,5005 By Matching Biggest Common Factor Method
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 7312,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,5005 is 1.
Lets's calculate LCM of 107,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 13375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13375
Therefore, the GCF of Fractions 7312/107,5005/125 is 1/13375
Least Common Multiple of 107,125 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 107,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,125) x common factors =1 x 1 = 1
LCM(107,125) = ( 107 × 125 ) / 1
LCM(107,125) = 13375 / 1
LCM(107,125) = 13375
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FAQs on GCF of Fractions of 7312/107, 5005/125
1. What is the HCF of 7312,5005?
The HCF of 7312,5005 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 7312/107, 5005/125?
Answer: GCF of Numerators as per given numbers 7312/107, 5005/125 is
GCF of Numerators i.e. for 7312,5005 is 1
LCM of denominators i.e. for 107,125 is 13375.
Thus, GCF of Fractions is 1/13375.Finally, GCF of Fractions for 7312/107, 5005/125 is 1/13375.