GCF of 8861/931, 6284/4674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8861/931, 6284/4674 i.e 1/229026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8861/931, 6284/4674.
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 8861/931,6284/4674?
Given fractions are 8861/931,6284/4674
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 8861/931,6284/4674, numerators are 8861,6284
Denominators are 931,4674
The GCF of 8861,6284 is 1 .
LCM of 931,4674 is 229026.
The greatest common factor of 8861/931,6284/4674 = [GCF of 8861,6284]/[LCM of 931,4674]= 1/229026
Therefore, the GCF of 8861/931,6284/4674 is 1/229026.
To find the highest common factor of 8861,6284, we have to find the factors of both numbers and list the highest common factor.
The factors of 8861 are 1, 8861
The factors of 6284 are 1, 2, 4, 1571, 3142, 6284
The HCF of 8861,6284 is 1.
Lets's calculate GCF of 8861,6284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8861,6284 By Matching Biggest Common Factor Method
Now, list down the factors of 8861
:1,8861
Now, list down the factors of 6284
:1,2,4,1571,3142,6284
Greatest Common Factor
We found the factors 8861,6284 . The biggest common factor number is the GCF number.
So the greatest common factor 8861,6284 is 1.
Lets's calculate LCM of 931,4674
| 19 | 931, 4674 |
| 49, 246 |
∴ So the LCM of the given numbers is 19 x 49 x 246 = 229026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229026
Therefore, the GCF of Fractions 8861/931,6284/4674 is 1/229026
Least Common Multiple of 931,4674 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 931,4674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,4674) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(931,4674) x common factors =19 x 1 = 19
LCM(931,4674) = ( 931 × 4674 ) / 19
LCM(931,4674) = 4351494 / 19
LCM(931,4674) = 229026
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FAQs on GCF of Fractions of 8861/931, 6284/4674
1. What is the HCF of 8861,6284?
The HCF of 8861,6284 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 8861/931, 6284/4674?
Answer: GCF of Numerators as per given numbers 8861/931, 6284/4674 is
GCF of Numerators i.e. for 8861,6284 is 1
LCM of denominators i.e. for 931,4674 is 229026.
Thus, GCF of Fractions is 1/229026.Finally, GCF of Fractions for 8861/931, 6284/4674 is 1/229026.