GCF of 8045/846, 9378/5282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8045/846, 9378/5282 i.e 1/2234286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8045/846, 9378/5282.
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 8045/846,9378/5282?
Given fractions are 8045/846,9378/5282
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 8045/846,9378/5282, numerators are 8045,9378
Denominators are 846,5282
The GCF of 8045,9378 is 1 .
LCM of 846,5282 is 2234286.
The greatest common factor of 8045/846,9378/5282 = [GCF of 8045,9378]/[LCM of 846,5282]= 1/2234286
Therefore, the GCF of 8045/846,9378/5282 is 1/2234286.
To find the highest common factor of 8045,9378, we have to find the factors of both numbers and list the highest common factor.
The factors of 8045 are 1, 5, 1609, 8045
The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378
The HCF of 8045,9378 is 1.
Lets's calculate GCF of 8045,9378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8045,9378 By Matching Biggest Common Factor Method
Now, list down the factors of 8045
:1,5,1609,8045
Now, list down the factors of 9378
:1,2,3,6,9,18,521,1042,1563,3126,4689,9378
Greatest Common Factor
We found the factors 8045,9378 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,9378 is 1.
Lets's calculate LCM of 846,5282
| 2 | 846, 5282 |
| 423, 2641 |
∴ So the LCM of the given numbers is 2 x 423 x 2641 = 2234286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2234286
Therefore, the GCF of Fractions 8045/846,9378/5282 is 1/2234286
Least Common Multiple of 846,5282 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 846,5282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,5282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,5282) x common factors =2 x 1 = 2
LCM(846,5282) = ( 846 × 5282 ) / 2
LCM(846,5282) = 4468572 / 2
LCM(846,5282) = 2234286
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FAQs on GCF of Fractions of 8045/846, 9378/5282
1. What is the HCF of 8045,9378?
The HCF of 8045,9378 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 8045/846, 9378/5282?
Answer: GCF of Numerators as per given numbers 8045/846, 9378/5282 is
GCF of Numerators i.e. for 8045,9378 is 1
LCM of denominators i.e. for 846,5282 is 2234286.
Thus, GCF of Fractions is 1/2234286.Finally, GCF of Fractions for 8045/846, 9378/5282 is 1/2234286.