GCF of 7336/148, 1217/3525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7336/148, 1217/3525 i.e 1/521700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7336/148, 1217/3525.
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 7336/148,1217/3525?
Given fractions are 7336/148,1217/3525
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 7336/148,1217/3525, numerators are 7336,1217
Denominators are 148,3525
The GCF of 7336,1217 is 1 .
LCM of 148,3525 is 521700.
The greatest common factor of 7336/148,1217/3525 = [GCF of 7336,1217]/[LCM of 148,3525]= 1/521700
Therefore, the GCF of 7336/148,1217/3525 is 1/521700.
To find the highest common factor of 7336,1217, we have to find the factors of both numbers and list the highest common factor.
The factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336
The factors of 1217 are 1, 1217
The HCF of 7336,1217 is 1.
Lets's calculate GCF of 7336,1217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7336,1217 By Matching Biggest Common Factor Method
Now, list down the factors of 7336
:1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Now, list down the factors of 1217
:1,1217
Greatest Common Factor
We found the factors 7336,1217 . The biggest common factor number is the GCF number.
So the greatest common factor 7336,1217 is 1.
Lets's calculate LCM of 148,3525
Given numbers has no common factors except 1. So, there LCM is their product i.e 521700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521700
Therefore, the GCF of Fractions 7336/148,1217/3525 is 1/521700
Least Common Multiple of 148,3525 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 148,3525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,3525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,3525) x common factors =1 x 1 = 1
LCM(148,3525) = ( 148 × 3525 ) / 1
LCM(148,3525) = 521700 / 1
LCM(148,3525) = 521700
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FAQs on GCF of Fractions of 7336/148, 1217/3525
1. What is the HCF of 7336,1217?
The HCF of 7336,1217 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 7336/148, 1217/3525?
Answer: GCF of Numerators as per given numbers 7336/148, 1217/3525 is
GCF of Numerators i.e. for 7336,1217 is 1
LCM of denominators i.e. for 148,3525 is 521700.
Thus, GCF of Fractions is 1/521700.Finally, GCF of Fractions for 7336/148, 1217/3525 is 1/521700.