GCF of 7547/214, 3470/537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7547/214, 3470/537 i.e 1/114918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7547/214, 3470/537.
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 7547/214,3470/537?
Given fractions are 7547/214,3470/537
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 7547/214,3470/537, numerators are 7547,3470
Denominators are 214,537
The GCF of 7547,3470 is 1 .
LCM of 214,537 is 114918.
The greatest common factor of 7547/214,3470/537 = [GCF of 7547,3470]/[LCM of 214,537]= 1/114918
Therefore, the GCF of 7547/214,3470/537 is 1/114918.
To find the highest common factor of 7547,3470, we have to find the factors of both numbers and list the highest common factor.
The factors of 7547 are 1, 7547
The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470
The HCF of 7547,3470 is 1.
Lets's calculate GCF of 7547,3470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7547,3470 By Matching Biggest Common Factor Method
Now, list down the factors of 7547
:1,7547
Now, list down the factors of 3470
:1,2,5,10,347,694,1735,3470
Greatest Common Factor
We found the factors 7547,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 7547,3470 is 1.
Lets's calculate LCM of 214,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 114918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114918
Therefore, the GCF of Fractions 7547/214,3470/537 is 1/114918
Least Common Multiple of 214,537 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 214,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,537) x common factors =1 x 1 = 1
LCM(214,537) = ( 214 × 537 ) / 1
LCM(214,537) = 114918 / 1
LCM(214,537) = 114918
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FAQs on GCF of Fractions of 7547/214, 3470/537
1. What is the HCF of 7547,3470?
The HCF of 7547,3470 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 7547/214, 3470/537?
Answer: GCF of Numerators as per given numbers 7547/214, 3470/537 is
GCF of Numerators i.e. for 7547,3470 is 1
LCM of denominators i.e. for 214,537 is 114918.
Thus, GCF of Fractions is 1/114918.Finally, GCF of Fractions for 7547/214, 3470/537 is 1/114918.