GCF of 7031/119, 3728/201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7031/119, 3728/201 i.e 1/23919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7031/119, 3728/201.
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 7031/119,3728/201?
Given fractions are 7031/119,3728/201
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 7031/119,3728/201, numerators are 7031,3728
Denominators are 119,201
The GCF of 7031,3728 is 1 .
LCM of 119,201 is 23919.
The greatest common factor of 7031/119,3728/201 = [GCF of 7031,3728]/[LCM of 119,201]= 1/23919
Therefore, the GCF of 7031/119,3728/201 is 1/23919.
To find the highest common factor of 7031,3728, 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 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728
The HCF of 7031,3728 is 1.
Lets's calculate GCF of 7031,3728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7031,3728 By Matching Biggest Common Factor Method
Now, list down the factors of 7031
:1,79,89,7031
Now, list down the factors of 3728
:1,2,4,8,16,233,466,932,1864,3728
Greatest Common Factor
We found the factors 7031,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 7031,3728 is 1.
Lets's calculate LCM of 119,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 23919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23919
Therefore, the GCF of Fractions 7031/119,3728/201 is 1/23919
Least Common Multiple of 119,201 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 119,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,201) x common factors =1 x 1 = 1
LCM(119,201) = ( 119 × 201 ) / 1
LCM(119,201) = 23919 / 1
LCM(119,201) = 23919
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FAQs on GCF of Fractions of 7031/119, 3728/201
1. What is the HCF of 7031,3728?
The HCF of 7031,3728 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 7031/119, 3728/201?
Answer: GCF of Numerators as per given numbers 7031/119, 3728/201 is
GCF of Numerators i.e. for 7031,3728 is 1
LCM of denominators i.e. for 119,201 is 23919.
Thus, GCF of Fractions is 1/23919.Finally, GCF of Fractions for 7031/119, 3728/201 is 1/23919.