GCF of 342/497, 569/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 342/497, 569/607 i.e 1/301679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/497, 569/607.
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 342/497,569/607?
Given fractions are 342/497,569/607
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 342/497,569/607, numerators are 342,569
Denominators are 497,607
The GCF of 342,569 is 1 .
LCM of 497,607 is 301679.
The greatest common factor of 342/497,569/607 = [GCF of 342,569]/[LCM of 497,607]= 1/301679
Therefore, the GCF of 342/497,569/607 is 1/301679.
To find the highest common factor of 342,569, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 569 are 1, 569
The HCF of 342,569 is 1.
Lets's calculate GCF of 342,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 342,569 By Matching Biggest Common Factor Method
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 569
:1,569
Greatest Common Factor
We found the factors 342,569 . The biggest common factor number is the GCF number.
So the greatest common factor 342,569 is 1.
Lets's calculate LCM of 497,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 301679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301679
Therefore, the GCF of Fractions 342/497,569/607 is 1/301679
Least Common Multiple of 497,607 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 497,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,607) x common factors =1 x 1 = 1
LCM(497,607) = ( 497 × 607 ) / 1
LCM(497,607) = 301679 / 1
LCM(497,607) = 301679
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 342/497, 569/607
1. What is the HCF of 342,569?
The HCF of 342,569 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 342/497, 569/607?
Answer: GCF of Numerators as per given numbers 342/497, 569/607 is
GCF of Numerators i.e. for 342,569 is 1
LCM of denominators i.e. for 497,607 is 301679.
Thus, GCF of Fractions is 1/301679.Finally, GCF of Fractions for 342/497, 569/607 is 1/301679.