GCF of 3429/688, 5150/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3429/688, 5150/579 i.e 1/398352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3429/688, 5150/579.
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 3429/688,5150/579?
Given fractions are 3429/688,5150/579
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 3429/688,5150/579, numerators are 3429,5150
Denominators are 688,579
The GCF of 3429,5150 is 1 .
LCM of 688,579 is 398352.
The greatest common factor of 3429/688,5150/579 = [GCF of 3429,5150]/[LCM of 688,579]= 1/398352
Therefore, the GCF of 3429/688,5150/579 is 1/398352.
To find the highest common factor of 3429,5150, we have to find the factors of both numbers and list the highest common factor.
The factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The HCF of 3429,5150 is 1.
Lets's calculate GCF of 3429,5150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3429,5150 By Matching Biggest Common Factor Method
Now, list down the factors of 3429
:1,3,9,27,127,381,1143,3429
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Greatest Common Factor
We found the factors 3429,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 3429,5150 is 1.
Lets's calculate LCM of 688,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 398352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398352
Therefore, the GCF of Fractions 3429/688,5150/579 is 1/398352
Least Common Multiple of 688,579 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 688,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,579) x common factors =1 x 1 = 1
LCM(688,579) = ( 688 × 579 ) / 1
LCM(688,579) = 398352 / 1
LCM(688,579) = 398352
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3429/688, 5150/579
1. What is the HCF of 3429,5150?
The HCF of 3429,5150 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 3429/688, 5150/579?
Answer: GCF of Numerators as per given numbers 3429/688, 5150/579 is
GCF of Numerators i.e. for 3429,5150 is 1
LCM of denominators i.e. for 688,579 is 398352.
Thus, GCF of Fractions is 1/398352.Finally, GCF of Fractions for 3429/688, 5150/579 is 1/398352.