GCF of 3900/967, 7677/5717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3900/967, 7677/5717 i.e 3/5528339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3900/967, 7677/5717.
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 3900/967,7677/5717?
Given fractions are 3900/967,7677/5717
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 3900/967,7677/5717, numerators are 3900,7677
Denominators are 967,5717
The GCF of 3900,7677 is 3 .
LCM of 967,5717 is 5528339.
The greatest common factor of 3900/967,7677/5717 = [GCF of 3900,7677]/[LCM of 967,5717]= 3/5528339
Therefore, the GCF of 3900/967,7677/5717 is 3/5528339.
To find the highest common factor of 3900,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 3900,7677 is 3.
Lets's calculate GCF of 3900,7677
| 3 | 3900, 7677 |
| 1300, 2559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3900,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 3900,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 3900,7677 is 3.
Lets's calculate LCM of 967,5717
Given numbers has no common factors except 1. So, there LCM is their product i.e 5528339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5528339
Therefore, the GCF of Fractions 3900/967,7677/5717 is 3/5528339
Least Common Multiple of 967,5717 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 967,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,5717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,5717) x common factors =1 x 1 = 1
LCM(967,5717) = ( 967 × 5717 ) / 1
LCM(967,5717) = 5528339 / 1
LCM(967,5717) = 5528339
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FAQs on GCF of Fractions of 3900/967, 7677/5717
1. What is the HCF of 3900,7677?
The HCF of 3900,7677 is 3
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 3900/967, 7677/5717?
Answer: GCF of Numerators as per given numbers 3900/967, 7677/5717 is
GCF of Numerators i.e. for 3900,7677 is 3
LCM of denominators i.e. for 967,5717 is 5528339.
Thus, GCF of Fractions is 3/5528339.Finally, GCF of Fractions for 3900/967, 7677/5717 is 3/5528339.