GCF of 3517/214, 2612/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3517/214, 2612/807 i.e 1/172698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3517/214, 2612/807.
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 3517/214,2612/807?
Given fractions are 3517/214,2612/807
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 3517/214,2612/807, numerators are 3517,2612
Denominators are 214,807
The GCF of 3517,2612 is 1 .
LCM of 214,807 is 172698.
The greatest common factor of 3517/214,2612/807 = [GCF of 3517,2612]/[LCM of 214,807]= 1/172698
Therefore, the GCF of 3517/214,2612/807 is 1/172698.
To find the highest common factor of 3517,2612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3517 are 1, 3517
The factors of 2612 are 1, 2, 4, 653, 1306, 2612
The HCF of 3517,2612 is 1.
Lets's calculate GCF of 3517,2612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3517,2612 By Matching Biggest Common Factor Method
Now, list down the factors of 3517
:1,3517
Now, list down the factors of 2612
:1,2,4,653,1306,2612
Greatest Common Factor
We found the factors 3517,2612 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,2612 is 1.
Lets's calculate LCM of 214,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 172698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172698
Therefore, the GCF of Fractions 3517/214,2612/807 is 1/172698
Least Common Multiple of 214,807 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 214,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,807) x common factors =1 x 1 = 1
LCM(214,807) = ( 214 × 807 ) / 1
LCM(214,807) = 172698 / 1
LCM(214,807) = 172698
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FAQs on GCF of Fractions of 3517/214, 2612/807
1. What is the HCF of 3517,2612?
The HCF of 3517,2612 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 3517/214, 2612/807?
Answer: GCF of Numerators as per given numbers 3517/214, 2612/807 is
GCF of Numerators i.e. for 3517,2612 is 1
LCM of denominators i.e. for 214,807 is 172698.
Thus, GCF of Fractions is 1/172698.Finally, GCF of Fractions for 3517/214, 2612/807 is 1/172698.