GCF of 3709/131, 6278/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3709/131, 6278/514 i.e 1/67334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3709/131, 6278/514.
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 3709/131,6278/514?
Given fractions are 3709/131,6278/514
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 3709/131,6278/514, numerators are 3709,6278
Denominators are 131,514
The GCF of 3709,6278 is 1 .
LCM of 131,514 is 67334.
The greatest common factor of 3709/131,6278/514 = [GCF of 3709,6278]/[LCM of 131,514]= 1/67334
Therefore, the GCF of 3709/131,6278/514 is 1/67334.
To find the highest common factor of 3709,6278, we have to find the factors of both numbers and list the highest common factor.
The factors of 3709 are 1, 3709
The factors of 6278 are 1, 2, 43, 73, 86, 146, 3139, 6278
The HCF of 3709,6278 is 1.
Lets's calculate GCF of 3709,6278
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3709,6278 By Matching Biggest Common Factor Method
Now, list down the factors of 3709
:1,3709
Now, list down the factors of 6278
:1,2,43,73,86,146,3139,6278
Greatest Common Factor
We found the factors 3709,6278 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,6278 is 1.
Lets's calculate LCM of 131,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 67334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67334
Therefore, the GCF of Fractions 3709/131,6278/514 is 1/67334
Least Common Multiple of 131,514 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 131,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,514) x common factors =1 x 1 = 1
LCM(131,514) = ( 131 × 514 ) / 1
LCM(131,514) = 67334 / 1
LCM(131,514) = 67334
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FAQs on GCF of Fractions of 3709/131, 6278/514
1. What is the HCF of 3709,6278?
The HCF of 3709,6278 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 3709/131, 6278/514?
Answer: GCF of Numerators as per given numbers 3709/131, 6278/514 is
GCF of Numerators i.e. for 3709,6278 is 1
LCM of denominators i.e. for 131,514 is 67334.
Thus, GCF of Fractions is 1/67334.Finally, GCF of Fractions for 3709/131, 6278/514 is 1/67334.