GCF of 1569/957, 1795/3224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1569/957, 1795/3224 i.e 1/3085368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1569/957, 1795/3224.
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 1569/957,1795/3224?
Given fractions are 1569/957,1795/3224
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 1569/957,1795/3224, numerators are 1569,1795
Denominators are 957,3224
The GCF of 1569,1795 is 1 .
LCM of 957,3224 is 3085368.
The greatest common factor of 1569/957,1795/3224 = [GCF of 1569,1795]/[LCM of 957,3224]= 1/3085368
Therefore, the GCF of 1569/957,1795/3224 is 1/3085368.
To find the highest common factor of 1569,1795, we have to find the factors of both numbers and list the highest common factor.
The factors of 1569 are 1, 3, 523, 1569
The factors of 1795 are 1, 5, 359, 1795
The HCF of 1569,1795 is 1.
Lets's calculate GCF of 1569,1795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1569,1795 By Matching Biggest Common Factor Method
Now, list down the factors of 1569
:1,3,523,1569
Now, list down the factors of 1795
:1,5,359,1795
Greatest Common Factor
We found the factors 1569,1795 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,1795 is 1.
Lets's calculate LCM of 957,3224
Given numbers has no common factors except 1. So, there LCM is their product i.e 3085368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3085368
Therefore, the GCF of Fractions 1569/957,1795/3224 is 1/3085368
Least Common Multiple of 957,3224 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 957,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,3224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,3224) x common factors =1 x 1 = 1
LCM(957,3224) = ( 957 × 3224 ) / 1
LCM(957,3224) = 3085368 / 1
LCM(957,3224) = 3085368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1569/957, 1795/3224
1. What is the HCF of 1569,1795?
The HCF of 1569,1795 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 1569/957, 1795/3224?
Answer: GCF of Numerators as per given numbers 1569/957, 1795/3224 is
GCF of Numerators i.e. for 1569,1795 is 1
LCM of denominators i.e. for 957,3224 is 3085368.
Thus, GCF of Fractions is 1/3085368.Finally, GCF of Fractions for 1569/957, 1795/3224 is 1/3085368.