GCF of 3540/766, 1223/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3540/766, 1223/857 i.e 1/656462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3540/766, 1223/857.
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 3540/766,1223/857?
Given fractions are 3540/766,1223/857
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 3540/766,1223/857, numerators are 3540,1223
Denominators are 766,857
The GCF of 3540,1223 is 1 .
LCM of 766,857 is 656462.
The greatest common factor of 3540/766,1223/857 = [GCF of 3540,1223]/[LCM of 766,857]= 1/656462
Therefore, the GCF of 3540/766,1223/857 is 1/656462.
To find the highest common factor of 3540,1223, we have to find the factors of both numbers and list the highest common factor.
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The factors of 1223 are 1, 1223
The HCF of 3540,1223 is 1.
Lets's calculate GCF of 3540,1223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3540,1223 By Matching Biggest Common Factor Method
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Now, list down the factors of 1223
:1,1223
Greatest Common Factor
We found the factors 3540,1223 . The biggest common factor number is the GCF number.
So the greatest common factor 3540,1223 is 1.
Lets's calculate LCM of 766,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 656462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656462
Therefore, the GCF of Fractions 3540/766,1223/857 is 1/656462
Least Common Multiple of 766,857 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 766,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,857) x common factors =1 x 1 = 1
LCM(766,857) = ( 766 × 857 ) / 1
LCM(766,857) = 656462 / 1
LCM(766,857) = 656462
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FAQs on GCF of Fractions of 3540/766, 1223/857
1. What is the HCF of 3540,1223?
The HCF of 3540,1223 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 3540/766, 1223/857?
Answer: GCF of Numerators as per given numbers 3540/766, 1223/857 is
GCF of Numerators i.e. for 3540,1223 is 1
LCM of denominators i.e. for 766,857 is 656462.
Thus, GCF of Fractions is 1/656462.Finally, GCF of Fractions for 3540/766, 1223/857 is 1/656462.