GCF of 7031/161, 2276/232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7031/161, 2276/232 i.e 1/37352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7031/161, 2276/232.
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 7031/161,2276/232?
Given fractions are 7031/161,2276/232
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 7031/161,2276/232, numerators are 7031,2276
Denominators are 161,232
The GCF of 7031,2276 is 1 .
LCM of 161,232 is 37352.
The greatest common factor of 7031/161,2276/232 = [GCF of 7031,2276]/[LCM of 161,232]= 1/37352
Therefore, the GCF of 7031/161,2276/232 is 1/37352.
To find the highest common factor of 7031,2276, we have to find the factors of both numbers and list the highest common factor.
The factors of 7031 are 1, 79, 89, 7031
The factors of 2276 are 1, 2, 4, 569, 1138, 2276
The HCF of 7031,2276 is 1.
Lets's calculate GCF of 7031,2276
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7031,2276 By Matching Biggest Common Factor Method
Now, list down the factors of 7031
:1,79,89,7031
Now, list down the factors of 2276
:1,2,4,569,1138,2276
Greatest Common Factor
We found the factors 7031,2276 . The biggest common factor number is the GCF number.
So the greatest common factor 7031,2276 is 1.
Lets's calculate LCM of 161,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 37352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37352
Therefore, the GCF of Fractions 7031/161,2276/232 is 1/37352
Least Common Multiple of 161,232 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 161,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,232) x common factors =1 x 1 = 1
LCM(161,232) = ( 161 × 232 ) / 1
LCM(161,232) = 37352 / 1
LCM(161,232) = 37352
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FAQs on GCF of Fractions of 7031/161, 2276/232
1. What is the HCF of 7031,2276?
The HCF of 7031,2276 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 7031/161, 2276/232?
Answer: GCF of Numerators as per given numbers 7031/161, 2276/232 is
GCF of Numerators i.e. for 7031,2276 is 1
LCM of denominators i.e. for 161,232 is 37352.
Thus, GCF of Fractions is 1/37352.Finally, GCF of Fractions for 7031/161, 2276/232 is 1/37352.