GCF of 128/456, 711/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 128/456, 711/125 i.e 1/57000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/456, 711/125.
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 128/456,711/125?
Given fractions are 128/456,711/125
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 128/456,711/125, numerators are 128,711
Denominators are 456,125
The GCF of 128,711 is 1 .
LCM of 456,125 is 57000.
The greatest common factor of 128/456,711/125 = [GCF of 128,711]/[LCM of 456,125]= 1/57000
Therefore, the GCF of 128/456,711/125 is 1/57000.
To find the highest common factor of 128,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 128,711 is 1.
Lets's calculate GCF of 128,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 128,711 By Matching Biggest Common Factor Method
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 128,711 . The biggest common factor number is the GCF number.
So the greatest common factor 128,711 is 1.
Lets's calculate LCM of 456,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 57000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57000
Therefore, the GCF of Fractions 128/456,711/125 is 1/57000
Least Common Multiple of 456,125 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 456,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,125) x common factors =1 x 1 = 1
LCM(456,125) = ( 456 × 125 ) / 1
LCM(456,125) = 57000 / 1
LCM(456,125) = 57000
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FAQs on GCF of Fractions of 128/456, 711/125
1. What is the HCF of 128,711?
The HCF of 128,711 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 128/456, 711/125?
Answer: GCF of Numerators as per given numbers 128/456, 711/125 is
GCF of Numerators i.e. for 128,711 is 1
LCM of denominators i.e. for 456,125 is 57000.
Thus, GCF of Fractions is 1/57000.Finally, GCF of Fractions for 128/456, 711/125 is 1/57000.