GCF of 1331/259, 7120/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1331/259, 7120/237 i.e 1/61383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1331/259, 7120/237.
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 1331/259,7120/237?
Given fractions are 1331/259,7120/237
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 1331/259,7120/237, numerators are 1331,7120
Denominators are 259,237
The GCF of 1331,7120 is 1 .
LCM of 259,237 is 61383.
The greatest common factor of 1331/259,7120/237 = [GCF of 1331,7120]/[LCM of 259,237]= 1/61383
Therefore, the GCF of 1331/259,7120/237 is 1/61383.
To find the highest common factor of 1331,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1331 are 1, 11, 121, 1331
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 1331,7120 is 1.
Lets's calculate GCF of 1331,7120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1331,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 1331
:1,11,121,1331
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 1331,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 1331,7120 is 1.
Lets's calculate LCM of 259,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 61383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61383
Therefore, the GCF of Fractions 1331/259,7120/237 is 1/61383
Least Common Multiple of 259,237 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 259,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,237) x common factors =1 x 1 = 1
LCM(259,237) = ( 259 × 237 ) / 1
LCM(259,237) = 61383 / 1
LCM(259,237) = 61383
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FAQs on GCF of Fractions of 1331/259, 7120/237
1. What is the HCF of 1331,7120?
The HCF of 1331,7120 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 1331/259, 7120/237?
Answer: GCF of Numerators as per given numbers 1331/259, 7120/237 is
GCF of Numerators i.e. for 1331,7120 is 1
LCM of denominators i.e. for 259,237 is 61383.
Thus, GCF of Fractions is 1/61383.Finally, GCF of Fractions for 1331/259, 7120/237 is 1/61383.