GCF of 8488/576, 9645/374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8488/576, 9645/374 i.e 1/107712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8488/576, 9645/374.
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 8488/576,9645/374?
Given fractions are 8488/576,9645/374
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 8488/576,9645/374, numerators are 8488,9645
Denominators are 576,374
The GCF of 8488,9645 is 1 .
LCM of 576,374 is 107712.
The greatest common factor of 8488/576,9645/374 = [GCF of 8488,9645]/[LCM of 576,374]= 1/107712
Therefore, the GCF of 8488/576,9645/374 is 1/107712.
To find the highest common factor of 8488,9645, we have to find the factors of both numbers and list the highest common factor.
The factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488
The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645
The HCF of 8488,9645 is 1.
Lets's calculate GCF of 8488,9645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8488,9645 By Matching Biggest Common Factor Method
Now, list down the factors of 8488
:1,2,4,8,1061,2122,4244,8488
Now, list down the factors of 9645
:1,3,5,15,643,1929,3215,9645
Greatest Common Factor
We found the factors 8488,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 8488,9645 is 1.
Lets's calculate LCM of 576,374
| 2 | 576, 374 |
| 288, 187 |
∴ So the LCM of the given numbers is 2 x 288 x 187 = 107712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107712
Therefore, the GCF of Fractions 8488/576,9645/374 is 1/107712
Least Common Multiple of 576,374 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 576,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(576,374) x common factors =2 x 1 = 2
LCM(576,374) = ( 576 × 374 ) / 2
LCM(576,374) = 215424 / 2
LCM(576,374) = 107712
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FAQs on GCF of Fractions of 8488/576, 9645/374
1. What is the HCF of 8488,9645?
The HCF of 8488,9645 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 8488/576, 9645/374?
Answer: GCF of Numerators as per given numbers 8488/576, 9645/374 is
GCF of Numerators i.e. for 8488,9645 is 1
LCM of denominators i.e. for 576,374 is 107712.
Thus, GCF of Fractions is 1/107712.Finally, GCF of Fractions for 8488/576, 9645/374 is 1/107712.