GCF of 1469/129, 2407/8132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1469/129, 2407/8132 i.e 1/1049028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/129, 2407/8132.
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 1469/129,2407/8132?
Given fractions are 1469/129,2407/8132
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 1469/129,2407/8132, numerators are 1469,2407
Denominators are 129,8132
The GCF of 1469,2407 is 1 .
LCM of 129,8132 is 1049028.
The greatest common factor of 1469/129,2407/8132 = [GCF of 1469,2407]/[LCM of 129,8132]= 1/1049028
Therefore, the GCF of 1469/129,2407/8132 is 1/1049028.
To find the highest common factor of 1469,2407, we have to find the factors of both numbers and list the highest common factor.
The factors of 1469 are 1, 13, 113, 1469
The factors of 2407 are 1, 29, 83, 2407
The HCF of 1469,2407 is 1.
Lets's calculate GCF of 1469,2407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1469,2407 By Matching Biggest Common Factor Method
Now, list down the factors of 1469
:1,13,113,1469
Now, list down the factors of 2407
:1,29,83,2407
Greatest Common Factor
We found the factors 1469,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,2407 is 1.
Lets's calculate LCM of 129,8132
Given numbers has no common factors except 1. So, there LCM is their product i.e 1049028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1049028
Therefore, the GCF of Fractions 1469/129,2407/8132 is 1/1049028
Least Common Multiple of 129,8132 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 129,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,8132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,8132) x common factors =1 x 1 = 1
LCM(129,8132) = ( 129 × 8132 ) / 1
LCM(129,8132) = 1049028 / 1
LCM(129,8132) = 1049028
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FAQs on GCF of Fractions of 1469/129, 2407/8132
1. What is the HCF of 1469,2407?
The HCF of 1469,2407 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 1469/129, 2407/8132?
Answer: GCF of Numerators as per given numbers 1469/129, 2407/8132 is
GCF of Numerators i.e. for 1469,2407 is 1
LCM of denominators i.e. for 129,8132 is 1049028.
Thus, GCF of Fractions is 1/1049028.Finally, GCF of Fractions for 1469/129, 2407/8132 is 1/1049028.