GCF of 8289/749, 4312/3983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8289/749, 4312/3983 i.e 1/426181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/749, 4312/3983.
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 8289/749,4312/3983?
Given fractions are 8289/749,4312/3983
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 8289/749,4312/3983, numerators are 8289,4312
Denominators are 749,3983
The GCF of 8289,4312 is 1 .
LCM of 749,3983 is 426181.
The greatest common factor of 8289/749,4312/3983 = [GCF of 8289,4312]/[LCM of 749,3983]= 1/426181
Therefore, the GCF of 8289/749,4312/3983 is 1/426181.
To find the highest common factor of 8289,4312, we have to find the factors of both numbers and list the highest common factor.
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The HCF of 8289,4312 is 1.
Lets's calculate GCF of 8289,4312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8289,4312 By Matching Biggest Common Factor Method
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 8289,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,4312 is 1.
Lets's calculate LCM of 749,3983
| 7 | 749, 3983 |
| 107, 569 |
∴ So the LCM of the given numbers is 7 x 107 x 569 = 426181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426181
Therefore, the GCF of Fractions 8289/749,4312/3983 is 1/426181
Least Common Multiple of 749,3983 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 749,3983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,3983) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,3983) x common factors =7 x 1 = 7
LCM(749,3983) = ( 749 × 3983 ) / 7
LCM(749,3983) = 2983267 / 7
LCM(749,3983) = 426181
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FAQs on GCF of Fractions of 8289/749, 4312/3983
1. What is the HCF of 8289,4312?
The HCF of 8289,4312 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 8289/749, 4312/3983?
Answer: GCF of Numerators as per given numbers 8289/749, 4312/3983 is
GCF of Numerators i.e. for 8289,4312 is 1
LCM of denominators i.e. for 749,3983 is 426181.
Thus, GCF of Fractions is 1/426181.Finally, GCF of Fractions for 8289/749, 4312/3983 is 1/426181.