GCF of 9470/929, 7051/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9470/929, 7051/211 i.e 1/196019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9470/929, 7051/211.
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 9470/929,7051/211?
Given fractions are 9470/929,7051/211
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 9470/929,7051/211, numerators are 9470,7051
Denominators are 929,211
The GCF of 9470,7051 is 1 .
LCM of 929,211 is 196019.
The greatest common factor of 9470/929,7051/211 = [GCF of 9470,7051]/[LCM of 929,211]= 1/196019
Therefore, the GCF of 9470/929,7051/211 is 1/196019.
To find the highest common factor of 9470,7051, we have to find the factors of both numbers and list the highest common factor.
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The factors of 7051 are 1, 11, 641, 7051
The HCF of 9470,7051 is 1.
Lets's calculate GCF of 9470,7051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9470,7051 By Matching Biggest Common Factor Method
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Now, list down the factors of 7051
:1,11,641,7051
Greatest Common Factor
We found the factors 9470,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,7051 is 1.
Lets's calculate LCM of 929,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 196019
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196019
Therefore, the GCF of Fractions 9470/929,7051/211 is 1/196019
Least Common Multiple of 929,211 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 929,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,211) x common factors =1 x 1 = 1
LCM(929,211) = ( 929 × 211 ) / 1
LCM(929,211) = 196019 / 1
LCM(929,211) = 196019
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FAQs on GCF of Fractions of 9470/929, 7051/211
1. What is the HCF of 9470,7051?
The HCF of 9470,7051 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 9470/929, 7051/211?
Answer: GCF of Numerators as per given numbers 9470/929, 7051/211 is
GCF of Numerators i.e. for 9470,7051 is 1
LCM of denominators i.e. for 929,211 is 196019.
Thus, GCF of Fractions is 1/196019.Finally, GCF of Fractions for 9470/929, 7051/211 is 1/196019.