GCF of 7105/255, 6388/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7105/255, 6388/419 i.e 1/106845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7105/255, 6388/419.
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 7105/255,6388/419?
Given fractions are 7105/255,6388/419
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 7105/255,6388/419, numerators are 7105,6388
Denominators are 255,419
The GCF of 7105,6388 is 1 .
LCM of 255,419 is 106845.
The greatest common factor of 7105/255,6388/419 = [GCF of 7105,6388]/[LCM of 255,419]= 1/106845
Therefore, the GCF of 7105/255,6388/419 is 1/106845.
To find the highest common factor of 7105,6388, we have to find the factors of both numbers and list the highest common factor.
The factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105
The factors of 6388 are 1, 2, 4, 1597, 3194, 6388
The HCF of 7105,6388 is 1.
Lets's calculate GCF of 7105,6388
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7105,6388 By Matching Biggest Common Factor Method
Now, list down the factors of 7105
:1,5,7,29,35,49,145,203,245,1015,1421,7105
Now, list down the factors of 6388
:1,2,4,1597,3194,6388
Greatest Common Factor
We found the factors 7105,6388 . The biggest common factor number is the GCF number.
So the greatest common factor 7105,6388 is 1.
Lets's calculate LCM of 255,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 106845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106845
Therefore, the GCF of Fractions 7105/255,6388/419 is 1/106845
Least Common Multiple of 255,419 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 255,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,419) x common factors =1 x 1 = 1
LCM(255,419) = ( 255 × 419 ) / 1
LCM(255,419) = 106845 / 1
LCM(255,419) = 106845
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FAQs on GCF of Fractions of 7105/255, 6388/419
1. What is the HCF of 7105,6388?
The HCF of 7105,6388 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 7105/255, 6388/419?
Answer: GCF of Numerators as per given numbers 7105/255, 6388/419 is
GCF of Numerators i.e. for 7105,6388 is 1
LCM of denominators i.e. for 255,419 is 106845.
Thus, GCF of Fractions is 1/106845.Finally, GCF of Fractions for 7105/255, 6388/419 is 1/106845.