GCF of 429/53, 908/2746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/53, 908/2746 i.e 1/145538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/53, 908/2746.
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 429/53,908/2746?
Given fractions are 429/53,908/2746
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 429/53,908/2746, numerators are 429,908
Denominators are 53,2746
The GCF of 429,908 is 1 .
LCM of 53,2746 is 145538.
The greatest common factor of 429/53,908/2746 = [GCF of 429,908]/[LCM of 53,2746]= 1/145538
Therefore, the GCF of 429/53,908/2746 is 1/145538.
To find the highest common factor of 429,908, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 908 are 1, 2, 4, 227, 454, 908
The HCF of 429,908 is 1.
Lets's calculate GCF of 429,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 429,908 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 908
:1,2,4,227,454,908
Greatest Common Factor
We found the factors 429,908 . The biggest common factor number is the GCF number.
So the greatest common factor 429,908 is 1.
Lets's calculate LCM of 53,2746
Given numbers has no common factors except 1. So, there LCM is their product i.e 145538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145538
Therefore, the GCF of Fractions 429/53,908/2746 is 1/145538
Least Common Multiple of 53,2746 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 53,2746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,2746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,2746) x common factors =1 x 1 = 1
LCM(53,2746) = ( 53 × 2746 ) / 1
LCM(53,2746) = 145538 / 1
LCM(53,2746) = 145538
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 429/53, 908/2746
1. What is the HCF of 429,908?
The HCF of 429,908 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 429/53, 908/2746?
Answer: GCF of Numerators as per given numbers 429/53, 908/2746 is
GCF of Numerators i.e. for 429,908 is 1
LCM of denominators i.e. for 53,2746 is 145538.
Thus, GCF of Fractions is 1/145538.Finally, GCF of Fractions for 429/53, 908/2746 is 1/145538.