GCF of 6148/214, 3245/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6148/214, 3245/731 i.e 1/156434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6148/214, 3245/731.
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 6148/214,3245/731?
Given fractions are 6148/214,3245/731
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 6148/214,3245/731, numerators are 6148,3245
Denominators are 214,731
The GCF of 6148,3245 is 1 .
LCM of 214,731 is 156434.
The greatest common factor of 6148/214,3245/731 = [GCF of 6148,3245]/[LCM of 214,731]= 1/156434
Therefore, the GCF of 6148/214,3245/731 is 1/156434.
To find the highest common factor of 6148,3245, we have to find the factors of both numbers and list the highest common factor.
The factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The HCF of 6148,3245 is 1.
Lets's calculate GCF of 6148,3245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6148,3245 By Matching Biggest Common Factor Method
Now, list down the factors of 6148
:1,2,4,29,53,58,106,116,212,1537,3074,6148
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Greatest Common Factor
We found the factors 6148,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 6148,3245 is 1.
Lets's calculate LCM of 214,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 156434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156434
Therefore, the GCF of Fractions 6148/214,3245/731 is 1/156434
Least Common Multiple of 214,731 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 214,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,731) x common factors =1 x 1 = 1
LCM(214,731) = ( 214 × 731 ) / 1
LCM(214,731) = 156434 / 1
LCM(214,731) = 156434
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FAQs on GCF of Fractions of 6148/214, 3245/731
1. What is the HCF of 6148,3245?
The HCF of 6148,3245 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 6148/214, 3245/731?
Answer: GCF of Numerators as per given numbers 6148/214, 3245/731 is
GCF of Numerators i.e. for 6148,3245 is 1
LCM of denominators i.e. for 214,731 is 156434.
Thus, GCF of Fractions is 1/156434.Finally, GCF of Fractions for 6148/214, 3245/731 is 1/156434.