GCF of 1759/485, 4641/1229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1759/485, 4641/1229 i.e 1/596065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1759/485, 4641/1229.
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 1759/485,4641/1229?
Given fractions are 1759/485,4641/1229
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 1759/485,4641/1229, numerators are 1759,4641
Denominators are 485,1229
The GCF of 1759,4641 is 1 .
LCM of 485,1229 is 596065.
The greatest common factor of 1759/485,4641/1229 = [GCF of 1759,4641]/[LCM of 485,1229]= 1/596065
Therefore, the GCF of 1759/485,4641/1229 is 1/596065.
To find the highest common factor of 1759,4641, we have to find the factors of both numbers and list the highest common factor.
The factors of 1759 are 1, 1759
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The HCF of 1759,4641 is 1.
Lets's calculate GCF of 1759,4641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1759,4641 By Matching Biggest Common Factor Method
Now, list down the factors of 1759
:1,1759
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Greatest Common Factor
We found the factors 1759,4641 . The biggest common factor number is the GCF number.
So the greatest common factor 1759,4641 is 1.
Lets's calculate LCM of 485,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 596065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596065
Therefore, the GCF of Fractions 1759/485,4641/1229 is 1/596065
Least Common Multiple of 485,1229 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 485,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,1229) x common factors =1 x 1 = 1
LCM(485,1229) = ( 485 × 1229 ) / 1
LCM(485,1229) = 596065 / 1
LCM(485,1229) = 596065
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FAQs on GCF of Fractions of 1759/485, 4641/1229
1. What is the HCF of 1759,4641?
The HCF of 1759,4641 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 1759/485, 4641/1229?
Answer: GCF of Numerators as per given numbers 1759/485, 4641/1229 is
GCF of Numerators i.e. for 1759,4641 is 1
LCM of denominators i.e. for 485,1229 is 596065.
Thus, GCF of Fractions is 1/596065.Finally, GCF of Fractions for 1759/485, 4641/1229 is 1/596065.