GCF of 673/603, 1660/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 673/603, 1660/865 i.e 1/521595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/603, 1660/865.
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 673/603,1660/865?
Given fractions are 673/603,1660/865
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 673/603,1660/865, numerators are 673,1660
Denominators are 603,865
The GCF of 673,1660 is 1 .
LCM of 603,865 is 521595.
The greatest common factor of 673/603,1660/865 = [GCF of 673,1660]/[LCM of 603,865]= 1/521595
Therefore, the GCF of 673/603,1660/865 is 1/521595.
To find the highest common factor of 673,1660, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The HCF of 673,1660 is 1.
Lets's calculate GCF of 673,1660
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 673,1660 By Matching Biggest Common Factor Method
Now, list down the factors of 673
:1,673
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Greatest Common Factor
We found the factors 673,1660 . The biggest common factor number is the GCF number.
So the greatest common factor 673,1660 is 1.
Lets's calculate LCM of 603,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 521595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521595
Therefore, the GCF of Fractions 673/603,1660/865 is 1/521595
Least Common Multiple of 603,865 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 603,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,865) x common factors =1 x 1 = 1
LCM(603,865) = ( 603 × 865 ) / 1
LCM(603,865) = 521595 / 1
LCM(603,865) = 521595
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FAQs on GCF of Fractions of 673/603, 1660/865
1. What is the HCF of 673,1660?
The HCF of 673,1660 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 673/603, 1660/865?
Answer: GCF of Numerators as per given numbers 673/603, 1660/865 is
GCF of Numerators i.e. for 673,1660 is 1
LCM of denominators i.e. for 603,865 is 521595.
Thus, GCF of Fractions is 1/521595.Finally, GCF of Fractions for 673/603, 1660/865 is 1/521595.