GCF of 8946/512, 2377/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8946/512, 2377/289 i.e 1/147968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8946/512, 2377/289.
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 8946/512,2377/289?
Given fractions are 8946/512,2377/289
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 8946/512,2377/289, numerators are 8946,2377
Denominators are 512,289
The GCF of 8946,2377 is 1 .
LCM of 512,289 is 147968.
The greatest common factor of 8946/512,2377/289 = [GCF of 8946,2377]/[LCM of 512,289]= 1/147968
Therefore, the GCF of 8946/512,2377/289 is 1/147968.
To find the highest common factor of 8946,2377, we have to find the factors of both numbers and list the highest common factor.
The factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
The factors of 2377 are 1, 2377
The HCF of 8946,2377 is 1.
Lets's calculate GCF of 8946,2377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8946,2377 By Matching Biggest Common Factor Method
Now, list down the factors of 8946
:1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Now, list down the factors of 2377
:1,2377
Greatest Common Factor
We found the factors 8946,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,2377 is 1.
Lets's calculate LCM of 512,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 147968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147968
Therefore, the GCF of Fractions 8946/512,2377/289 is 1/147968
Least Common Multiple of 512,289 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 512,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,289) x common factors =1 x 1 = 1
LCM(512,289) = ( 512 × 289 ) / 1
LCM(512,289) = 147968 / 1
LCM(512,289) = 147968
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FAQs on GCF of Fractions of 8946/512, 2377/289
1. What is the HCF of 8946,2377?
The HCF of 8946,2377 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 8946/512, 2377/289?
Answer: GCF of Numerators as per given numbers 8946/512, 2377/289 is
GCF of Numerators i.e. for 8946,2377 is 1
LCM of denominators i.e. for 512,289 is 147968.
Thus, GCF of Fractions is 1/147968.Finally, GCF of Fractions for 8946/512, 2377/289 is 1/147968.