GCF of 6109/567, 4920/3976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6109/567, 4920/3976 i.e 41/322056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6109/567, 4920/3976.
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 6109/567,4920/3976?
Given fractions are 6109/567,4920/3976
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 6109/567,4920/3976, numerators are 6109,4920
Denominators are 567,3976
The GCF of 6109,4920 is 41 .
LCM of 567,3976 is 322056.
The greatest common factor of 6109/567,4920/3976 = [GCF of 6109,4920]/[LCM of 567,3976]= 41/322056
Therefore, the GCF of 6109/567,4920/3976 is 41/322056.
To find the highest common factor of 6109,4920, we have to find the factors of both numbers and list the highest common factor.
The factors of 6109 are 1, 41, 149, 6109
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The HCF of 6109,4920 is 41.
Lets's calculate GCF of 6109,4920
| 41 | 6109, 4920 |
| 149, 120 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 6109,4920 By Matching Biggest Common Factor Method
Now, list down the factors of 6109
:1,41,149,6109
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 6109,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 6109,4920 is 41.
Lets's calculate LCM of 567,3976
| 7 | 567, 3976 |
| 81, 568 |
∴ So the LCM of the given numbers is 7 x 81 x 568 = 322056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/322056
Therefore, the GCF of Fractions 6109/567,4920/3976 is 41/322056
Least Common Multiple of 567,3976 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 567,3976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,3976) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,3976) x common factors =7 x 1 = 7
LCM(567,3976) = ( 567 × 3976 ) / 7
LCM(567,3976) = 2254392 / 7
LCM(567,3976) = 322056
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FAQs on GCF of Fractions of 6109/567, 4920/3976
1. What is the HCF of 6109,4920?
The HCF of 6109,4920 is 41
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 6109/567, 4920/3976?
Answer: GCF of Numerators as per given numbers 6109/567, 4920/3976 is
GCF of Numerators i.e. for 6109,4920 is 41
LCM of denominators i.e. for 567,3976 is 322056.
Thus, GCF of Fractions is 41/322056.Finally, GCF of Fractions for 6109/567, 4920/3976 is 41/322056.