GCF of 664/100, 2245/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 664/100, 2245/741 i.e 1/74100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/100, 2245/741.
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 664/100,2245/741?
Given fractions are 664/100,2245/741
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 664/100,2245/741, numerators are 664,2245
Denominators are 100,741
The GCF of 664,2245 is 1 .
LCM of 100,741 is 74100.
The greatest common factor of 664/100,2245/741 = [GCF of 664,2245]/[LCM of 100,741]= 1/74100
Therefore, the GCF of 664/100,2245/741 is 1/74100.
To find the highest common factor of 664,2245, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 2245 are 1, 5, 449, 2245
The HCF of 664,2245 is 1.
Lets's calculate GCF of 664,2245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 664,2245 By Matching Biggest Common Factor Method
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 2245
:1,5,449,2245
Greatest Common Factor
We found the factors 664,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 664,2245 is 1.
Lets's calculate LCM of 100,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 74100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74100
Therefore, the GCF of Fractions 664/100,2245/741 is 1/74100
Least Common Multiple of 100,741 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 100,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,741) x common factors =1 x 1 = 1
LCM(100,741) = ( 100 × 741 ) / 1
LCM(100,741) = 74100 / 1
LCM(100,741) = 74100
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FAQs on GCF of Fractions of 664/100, 2245/741
1. What is the HCF of 664,2245?
The HCF of 664,2245 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 664/100, 2245/741?
Answer: GCF of Numerators as per given numbers 664/100, 2245/741 is
GCF of Numerators i.e. for 664,2245 is 1
LCM of denominators i.e. for 100,741 is 74100.
Thus, GCF of Fractions is 1/74100.Finally, GCF of Fractions for 664/100, 2245/741 is 1/74100.