GCF of 6131/207, 8874/7370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6131/207, 8874/7370 i.e 1/1525590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6131/207, 8874/7370.
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 6131/207,8874/7370?
Given fractions are 6131/207,8874/7370
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 6131/207,8874/7370, numerators are 6131,8874
Denominators are 207,7370
The GCF of 6131,8874 is 1 .
LCM of 207,7370 is 1525590.
The greatest common factor of 6131/207,8874/7370 = [GCF of 6131,8874]/[LCM of 207,7370]= 1/1525590
Therefore, the GCF of 6131/207,8874/7370 is 1/1525590.
To find the highest common factor of 6131,8874, we have to find the factors of both numbers and list the highest common factor.
The factors of 6131 are 1, 6131
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The HCF of 6131,8874 is 1.
Lets's calculate GCF of 6131,8874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6131,8874 By Matching Biggest Common Factor Method
Now, list down the factors of 6131
:1,6131
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Greatest Common Factor
We found the factors 6131,8874 . The biggest common factor number is the GCF number.
So the greatest common factor 6131,8874 is 1.
Lets's calculate LCM of 207,7370
Given numbers has no common factors except 1. So, there LCM is their product i.e 1525590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1525590
Therefore, the GCF of Fractions 6131/207,8874/7370 is 1/1525590
Least Common Multiple of 207,7370 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 207,7370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,7370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,7370) x common factors =1 x 1 = 1
LCM(207,7370) = ( 207 × 7370 ) / 1
LCM(207,7370) = 1525590 / 1
LCM(207,7370) = 1525590
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FAQs on GCF of Fractions of 6131/207, 8874/7370
1. What is the HCF of 6131,8874?
The HCF of 6131,8874 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 6131/207, 8874/7370?
Answer: GCF of Numerators as per given numbers 6131/207, 8874/7370 is
GCF of Numerators i.e. for 6131,8874 is 1
LCM of denominators i.e. for 207,7370 is 1525590.
Thus, GCF of Fractions is 1/1525590.Finally, GCF of Fractions for 6131/207, 8874/7370 is 1/1525590.