GCF of 8546/688, 9378/6665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8546/688, 9378/6665 i.e 2/106640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8546/688, 9378/6665.
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 8546/688,9378/6665?
Given fractions are 8546/688,9378/6665
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 8546/688,9378/6665, numerators are 8546,9378
Denominators are 688,6665
The GCF of 8546,9378 is 2 .
LCM of 688,6665 is 106640.
The greatest common factor of 8546/688,9378/6665 = [GCF of 8546,9378]/[LCM of 688,6665]= 2/106640
Therefore, the GCF of 8546/688,9378/6665 is 2/106640.
To find the highest common factor of 8546,9378, we have to find the factors of both numbers and list the highest common factor.
The factors of 8546 are 1, 2, 4273, 8546
The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378
The HCF of 8546,9378 is 2.
Lets's calculate GCF of 8546,9378
| 2 | 8546, 9378 |
| 4273, 4689 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8546,9378 By Matching Biggest Common Factor Method
Now, list down the factors of 8546
:1,2,4273,8546
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 8546,9378 . The biggest common factor number is the GCF number.
So the greatest common factor 8546,9378 is 2.
Lets's calculate LCM of 688,6665
| 43 | 688, 6665 |
| 16, 155 |
∴ So the LCM of the given numbers is 43 x 16 x 155 = 106640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106640
Therefore, the GCF of Fractions 8546/688,9378/6665 is 2/106640
Least Common Multiple of 688,6665 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 688,6665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,6665) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(688,6665) x common factors =43 x 1 = 43
LCM(688,6665) = ( 688 × 6665 ) / 43
LCM(688,6665) = 4585520 / 43
LCM(688,6665) = 106640
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FAQs on GCF of Fractions of 8546/688, 9378/6665
1. What is the HCF of 8546,9378?
The HCF of 8546,9378 is 2
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 8546/688, 9378/6665?
Answer: GCF of Numerators as per given numbers 8546/688, 9378/6665 is
GCF of Numerators i.e. for 8546,9378 is 2
LCM of denominators i.e. for 688,6665 is 106640.
Thus, GCF of Fractions is 2/106640.Finally, GCF of Fractions for 8546/688, 9378/6665 is 2/106640.