GCF of 3328/971, 9247/4384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3328/971, 9247/4384 i.e 1/4256864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3328/971, 9247/4384.
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 3328/971,9247/4384?
Given fractions are 3328/971,9247/4384
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 3328/971,9247/4384, numerators are 3328,9247
Denominators are 971,4384
The GCF of 3328,9247 is 1 .
LCM of 971,4384 is 4256864.
The greatest common factor of 3328/971,9247/4384 = [GCF of 3328,9247]/[LCM of 971,4384]= 1/4256864
Therefore, the GCF of 3328/971,9247/4384 is 1/4256864.
To find the highest common factor of 3328,9247, we have to find the factors of both numbers and list the highest common factor.
The factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328
The factors of 9247 are 1, 7, 1321, 9247
The HCF of 3328,9247 is 1.
Lets's calculate GCF of 3328,9247
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3328,9247 By Matching Biggest Common Factor Method
Now, list down the factors of 3328
:1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328
Now, list down the factors of 9247
:1,7,1321,9247
Greatest Common Factor
We found the factors 3328,9247 . The biggest common factor number is the GCF number.
So the greatest common factor 3328,9247 is 1.
Lets's calculate LCM of 971,4384
Given numbers has no common factors except 1. So, there LCM is their product i.e 4256864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4256864
Therefore, the GCF of Fractions 3328/971,9247/4384 is 1/4256864
Least Common Multiple of 971,4384 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 971,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,4384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,4384) x common factors =1 x 1 = 1
LCM(971,4384) = ( 971 × 4384 ) / 1
LCM(971,4384) = 4256864 / 1
LCM(971,4384) = 4256864
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FAQs on GCF of Fractions of 3328/971, 9247/4384
1. What is the HCF of 3328,9247?
The HCF of 3328,9247 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 3328/971, 9247/4384?
Answer: GCF of Numerators as per given numbers 3328/971, 9247/4384 is
GCF of Numerators i.e. for 3328,9247 is 1
LCM of denominators i.e. for 971,4384 is 4256864.
Thus, GCF of Fractions is 1/4256864.Finally, GCF of Fractions for 3328/971, 9247/4384 is 1/4256864.