GCF of 125/150, 695/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 125/150, 695/871 i.e 5/130650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 125/150, 695/871.
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 125/150,695/871?
Given fractions are 125/150,695/871
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 125/150,695/871, numerators are 125,695
Denominators are 150,871
The GCF of 125,695 is 5 .
LCM of 150,871 is 130650.
The greatest common factor of 125/150,695/871 = [GCF of 125,695]/[LCM of 150,871]= 5/130650
Therefore, the GCF of 125/150,695/871 is 5/130650.
To find the highest common factor of 125,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 125 are 1, 5, 25, 125
The factors of 695 are 1, 5, 139, 695
The HCF of 125,695 is 5.
Lets's calculate GCF of 125,695
| 5 | 125, 695 |
| 25, 139 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 125,695 By Matching Biggest Common Factor Method
Now, list down the factors of 125
:1,5,25,125
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 125,695 . The biggest common factor number is the GCF number.
So the greatest common factor 125,695 is 5.
Lets's calculate LCM of 150,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 130650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/130650
Therefore, the GCF of Fractions 125/150,695/871 is 5/130650
Least Common Multiple of 150,871 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 150,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,871) x common factors =1 x 1 = 1
LCM(150,871) = ( 150 × 871 ) / 1
LCM(150,871) = 130650 / 1
LCM(150,871) = 130650
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FAQs on GCF of Fractions of 125/150, 695/871
1. What is the HCF of 125,695?
The HCF of 125,695 is 5
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 125/150, 695/871?
Answer: GCF of Numerators as per given numbers 125/150, 695/871 is
GCF of Numerators i.e. for 125,695 is 5
LCM of denominators i.e. for 150,871 is 130650.
Thus, GCF of Fractions is 5/130650.Finally, GCF of Fractions for 125/150, 695/871 is 5/130650.