GCF of 107/14, 275/737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 107/14, 275/737 i.e 1/10318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/14, 275/737.
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 107/14,275/737?
Given fractions are 107/14,275/737
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 107/14,275/737, numerators are 107,275
Denominators are 14,737
The GCF of 107,275 is 1 .
LCM of 14,737 is 10318.
The greatest common factor of 107/14,275/737 = [GCF of 107,275]/[LCM of 14,737]= 1/10318
Therefore, the GCF of 107/14,275/737 is 1/10318.
To find the highest common factor of 107,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 107 are 1, 107
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 107,275 is 1.
Lets's calculate GCF of 107,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 107,275 By Matching Biggest Common Factor Method
Now, list down the factors of 107
:1,107
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 107,275 . The biggest common factor number is the GCF number.
So the greatest common factor 107,275 is 1.
Lets's calculate LCM of 14,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 10318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10318
Therefore, the GCF of Fractions 107/14,275/737 is 1/10318
Least Common Multiple of 14,737 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 14,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,737) x common factors =1 x 1 = 1
LCM(14,737) = ( 14 × 737 ) / 1
LCM(14,737) = 10318 / 1
LCM(14,737) = 10318
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 107/14, 275/737
1. What is the HCF of 107,275?
The HCF of 107,275 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 107/14, 275/737?
Answer: GCF of Numerators as per given numbers 107/14, 275/737 is
GCF of Numerators i.e. for 107,275 is 1
LCM of denominators i.e. for 14,737 is 10318.
Thus, GCF of Fractions is 1/10318.Finally, GCF of Fractions for 107/14, 275/737 is 1/10318.