GCF of 4672/603, 6521/337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4672/603, 6521/337 i.e 1/203211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4672/603, 6521/337.
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 4672/603,6521/337?
Given fractions are 4672/603,6521/337
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 4672/603,6521/337, numerators are 4672,6521
Denominators are 603,337
The GCF of 4672,6521 is 1 .
LCM of 603,337 is 203211.
The greatest common factor of 4672/603,6521/337 = [GCF of 4672,6521]/[LCM of 603,337]= 1/203211
Therefore, the GCF of 4672/603,6521/337 is 1/203211.
To find the highest common factor of 4672,6521, we have to find the factors of both numbers and list the highest common factor.
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The factors of 6521 are 1, 6521
The HCF of 4672,6521 is 1.
Lets's calculate GCF of 4672,6521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4672,6521 By Matching Biggest Common Factor Method
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Now, list down the factors of 6521
:1,6521
Greatest Common Factor
We found the factors 4672,6521 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,6521 is 1.
Lets's calculate LCM of 603,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 203211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203211
Therefore, the GCF of Fractions 4672/603,6521/337 is 1/203211
Least Common Multiple of 603,337 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 603,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,337) x common factors =1 x 1 = 1
LCM(603,337) = ( 603 × 337 ) / 1
LCM(603,337) = 203211 / 1
LCM(603,337) = 203211
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FAQs on GCF of Fractions of 4672/603, 6521/337
1. What is the HCF of 4672,6521?
The HCF of 4672,6521 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 4672/603, 6521/337?
Answer: GCF of Numerators as per given numbers 4672/603, 6521/337 is
GCF of Numerators i.e. for 4672,6521 is 1
LCM of denominators i.e. for 603,337 is 203211.
Thus, GCF of Fractions is 1/203211.Finally, GCF of Fractions for 4672/603, 6521/337 is 1/203211.