GCF of 4064/361, 4769/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4064/361, 4769/411 i.e 1/148371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4064/361, 4769/411.
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 4064/361,4769/411?
Given fractions are 4064/361,4769/411
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 4064/361,4769/411, numerators are 4064,4769
Denominators are 361,411
The GCF of 4064,4769 is 1 .
LCM of 361,411 is 148371.
The greatest common factor of 4064/361,4769/411 = [GCF of 4064,4769]/[LCM of 361,411]= 1/148371
Therefore, the GCF of 4064/361,4769/411 is 1/148371.
To find the highest common factor of 4064,4769, we have to find the factors of both numbers and list the highest common factor.
The factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064
The factors of 4769 are 1, 19, 251, 4769
The HCF of 4064,4769 is 1.
Lets's calculate GCF of 4064,4769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4064,4769 By Matching Biggest Common Factor Method
Now, list down the factors of 4064
:1,2,4,8,16,32,127,254,508,1016,2032,4064
Now, list down the factors of 4769
:1,19,251,4769
Greatest Common Factor
We found the factors 4064,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 4064,4769 is 1.
Lets's calculate LCM of 361,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 148371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148371
Therefore, the GCF of Fractions 4064/361,4769/411 is 1/148371
Least Common Multiple of 361,411 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 361,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,411) x common factors =1 x 1 = 1
LCM(361,411) = ( 361 × 411 ) / 1
LCM(361,411) = 148371 / 1
LCM(361,411) = 148371
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FAQs on GCF of Fractions of 4064/361, 4769/411
1. What is the HCF of 4064,4769?
The HCF of 4064,4769 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 4064/361, 4769/411?
Answer: GCF of Numerators as per given numbers 4064/361, 4769/411 is
GCF of Numerators i.e. for 4064,4769 is 1
LCM of denominators i.e. for 361,411 is 148371.
Thus, GCF of Fractions is 1/148371.Finally, GCF of Fractions for 4064/361, 4769/411 is 1/148371.