GCF of 6130/461, 5687/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6130/461, 5687/350 i.e 1/161350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6130/461, 5687/350.
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 6130/461,5687/350?
Given fractions are 6130/461,5687/350
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 6130/461,5687/350, numerators are 6130,5687
Denominators are 461,350
The GCF of 6130,5687 is 1 .
LCM of 461,350 is 161350.
The greatest common factor of 6130/461,5687/350 = [GCF of 6130,5687]/[LCM of 461,350]= 1/161350
Therefore, the GCF of 6130/461,5687/350 is 1/161350.
To find the highest common factor of 6130,5687, we have to find the factors of both numbers and list the highest common factor.
The factors of 6130 are 1, 2, 5, 10, 613, 1226, 3065, 6130
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The HCF of 6130,5687 is 1.
Lets's calculate GCF of 6130,5687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6130,5687 By Matching Biggest Common Factor Method
Now, list down the factors of 6130
:1,2,5,10,613,1226,3065,6130
Now, list down the factors of 5687
:1,11,47,121,517,5687
Greatest Common Factor
We found the factors 6130,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 6130,5687 is 1.
Lets's calculate LCM of 461,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 161350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161350
Therefore, the GCF of Fractions 6130/461,5687/350 is 1/161350
Least Common Multiple of 461,350 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 461,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,350) x common factors =1 x 1 = 1
LCM(461,350) = ( 461 × 350 ) / 1
LCM(461,350) = 161350 / 1
LCM(461,350) = 161350
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FAQs on GCF of Fractions of 6130/461, 5687/350
1. What is the HCF of 6130,5687?
The HCF of 6130,5687 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 6130/461, 5687/350?
Answer: GCF of Numerators as per given numbers 6130/461, 5687/350 is
GCF of Numerators i.e. for 6130,5687 is 1
LCM of denominators i.e. for 461,350 is 161350.
Thus, GCF of Fractions is 1/161350.Finally, GCF of Fractions for 6130/461, 5687/350 is 1/161350.