GCF of 145/295, 814/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 145/295, 814/103 i.e 1/30385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/295, 814/103.
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 145/295,814/103?
Given fractions are 145/295,814/103
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 145/295,814/103, numerators are 145,814
Denominators are 295,103
The GCF of 145,814 is 1 .
LCM of 295,103 is 30385.
The greatest common factor of 145/295,814/103 = [GCF of 145,814]/[LCM of 295,103]= 1/30385
Therefore, the GCF of 145/295,814/103 is 1/30385.
To find the highest common factor of 145,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 145,814 is 1.
Lets's calculate GCF of 145,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 145,814 By Matching Biggest Common Factor Method
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 145,814 . The biggest common factor number is the GCF number.
So the greatest common factor 145,814 is 1.
Lets's calculate LCM of 295,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 30385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30385
Therefore, the GCF of Fractions 145/295,814/103 is 1/30385
Least Common Multiple of 295,103 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 295,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,103) x common factors =1 x 1 = 1
LCM(295,103) = ( 295 × 103 ) / 1
LCM(295,103) = 30385 / 1
LCM(295,103) = 30385
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FAQs on GCF of Fractions of 145/295, 814/103
1. What is the HCF of 145,814?
The HCF of 145,814 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 145/295, 814/103?
Answer: GCF of Numerators as per given numbers 145/295, 814/103 is
GCF of Numerators i.e. for 145,814 is 1
LCM of denominators i.e. for 295,103 is 30385.
Thus, GCF of Fractions is 1/30385.Finally, GCF of Fractions for 145/295, 814/103 is 1/30385.