GCF of 5605/709, 5967/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5605/709, 5967/815 i.e 1/577835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5605/709, 5967/815.
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 5605/709,5967/815?
Given fractions are 5605/709,5967/815
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 5605/709,5967/815, numerators are 5605,5967
Denominators are 709,815
The GCF of 5605,5967 is 1 .
LCM of 709,815 is 577835.
The greatest common factor of 5605/709,5967/815 = [GCF of 5605,5967]/[LCM of 709,815]= 1/577835
Therefore, the GCF of 5605/709,5967/815 is 1/577835.
To find the highest common factor of 5605,5967, we have to find the factors of both numbers and list the highest common factor.
The factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The HCF of 5605,5967 is 1.
Lets's calculate GCF of 5605,5967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5605,5967 By Matching Biggest Common Factor Method
Now, list down the factors of 5605
:1,5,19,59,95,295,1121,5605
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Greatest Common Factor
We found the factors 5605,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 5605,5967 is 1.
Lets's calculate LCM of 709,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 577835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577835
Therefore, the GCF of Fractions 5605/709,5967/815 is 1/577835
Least Common Multiple of 709,815 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 709,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,815) x common factors =1 x 1 = 1
LCM(709,815) = ( 709 × 815 ) / 1
LCM(709,815) = 577835 / 1
LCM(709,815) = 577835
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FAQs on GCF of Fractions of 5605/709, 5967/815
1. What is the HCF of 5605,5967?
The HCF of 5605,5967 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 5605/709, 5967/815?
Answer: GCF of Numerators as per given numbers 5605/709, 5967/815 is
GCF of Numerators i.e. for 5605,5967 is 1
LCM of denominators i.e. for 709,815 is 577835.
Thus, GCF of Fractions is 1/577835.Finally, GCF of Fractions for 5605/709, 5967/815 is 1/577835.