GCF of 1871/160, 7729/9473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1871/160, 7729/9473 i.e 1/1515680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1871/160, 7729/9473.
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 1871/160,7729/9473?
Given fractions are 1871/160,7729/9473
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 1871/160,7729/9473, numerators are 1871,7729
Denominators are 160,9473
The GCF of 1871,7729 is 1 .
LCM of 160,9473 is 1515680.
The greatest common factor of 1871/160,7729/9473 = [GCF of 1871,7729]/[LCM of 160,9473]= 1/1515680
Therefore, the GCF of 1871/160,7729/9473 is 1/1515680.
To find the highest common factor of 1871,7729, we have to find the factors of both numbers and list the highest common factor.
The factors of 1871 are 1, 1871
The factors of 7729 are 1, 59, 131, 7729
The HCF of 1871,7729 is 1.
Lets's calculate GCF of 1871,7729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1871,7729 By Matching Biggest Common Factor Method
Now, list down the factors of 1871
:1,1871
Now, list down the factors of 7729
:1,59,131,7729
Greatest Common Factor
We found the factors 1871,7729 . The biggest common factor number is the GCF number.
So the greatest common factor 1871,7729 is 1.
Lets's calculate LCM of 160,9473
Given numbers has no common factors except 1. So, there LCM is their product i.e 1515680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515680
Therefore, the GCF of Fractions 1871/160,7729/9473 is 1/1515680
Least Common Multiple of 160,9473 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 160,9473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,9473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,9473) x common factors =1 x 1 = 1
LCM(160,9473) = ( 160 × 9473 ) / 1
LCM(160,9473) = 1515680 / 1
LCM(160,9473) = 1515680
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FAQs on GCF of Fractions of 1871/160, 7729/9473
1. What is the HCF of 1871,7729?
The HCF of 1871,7729 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 1871/160, 7729/9473?
Answer: GCF of Numerators as per given numbers 1871/160, 7729/9473 is
GCF of Numerators i.e. for 1871,7729 is 1
LCM of denominators i.e. for 160,9473 is 1515680.
Thus, GCF of Fractions is 1/1515680.Finally, GCF of Fractions for 1871/160, 7729/9473 is 1/1515680.