GCF of 1369/557, 1761/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1369/557, 1761/759 i.e 1/422763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/557, 1761/759.
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 1369/557,1761/759?
Given fractions are 1369/557,1761/759
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 1369/557,1761/759, numerators are 1369,1761
Denominators are 557,759
The GCF of 1369,1761 is 1 .
LCM of 557,759 is 422763.
The greatest common factor of 1369/557,1761/759 = [GCF of 1369,1761]/[LCM of 557,759]= 1/422763
Therefore, the GCF of 1369/557,1761/759 is 1/422763.
To find the highest common factor of 1369,1761, we have to find the factors of both numbers and list the highest common factor.
The factors of 1369 are 1, 37, 1369
The factors of 1761 are 1, 3, 587, 1761
The HCF of 1369,1761 is 1.
Lets's calculate GCF of 1369,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1369,1761 By Matching Biggest Common Factor Method
Now, list down the factors of 1369
:1,37,1369
Now, list down the factors of 1761
:1,3,587,1761
Greatest Common Factor
We found the factors 1369,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,1761 is 1.
Lets's calculate LCM of 557,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 422763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422763
Therefore, the GCF of Fractions 1369/557,1761/759 is 1/422763
Least Common Multiple of 557,759 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 557,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,759) x common factors =1 x 1 = 1
LCM(557,759) = ( 557 × 759 ) / 1
LCM(557,759) = 422763 / 1
LCM(557,759) = 422763
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FAQs on GCF of Fractions of 1369/557, 1761/759
1. What is the HCF of 1369,1761?
The HCF of 1369,1761 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 1369/557, 1761/759?
Answer: GCF of Numerators as per given numbers 1369/557, 1761/759 is
GCF of Numerators i.e. for 1369,1761 is 1
LCM of denominators i.e. for 557,759 is 422763.
Thus, GCF of Fractions is 1/422763.Finally, GCF of Fractions for 1369/557, 1761/759 is 1/422763.