GCF of 4950/305, 7869/9317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4950/305, 7869/9317 i.e 3/2841685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4950/305, 7869/9317.
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 4950/305,7869/9317?
Given fractions are 4950/305,7869/9317
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 4950/305,7869/9317, numerators are 4950,7869
Denominators are 305,9317
The GCF of 4950,7869 is 3 .
LCM of 305,9317 is 2841685.
The greatest common factor of 4950/305,7869/9317 = [GCF of 4950,7869]/[LCM of 305,9317]= 3/2841685
Therefore, the GCF of 4950/305,7869/9317 is 3/2841685.
To find the highest common factor of 4950,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 4950,7869 is 3.
Lets's calculate GCF of 4950,7869
| 3 | 4950, 7869 |
| 1650, 2623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4950,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 4950
:1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 4950,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 4950,7869 is 3.
Lets's calculate LCM of 305,9317
Given numbers has no common factors except 1. So, there LCM is their product i.e 2841685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2841685
Therefore, the GCF of Fractions 4950/305,7869/9317 is 3/2841685
Least Common Multiple of 305,9317 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 305,9317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,9317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,9317) x common factors =1 x 1 = 1
LCM(305,9317) = ( 305 × 9317 ) / 1
LCM(305,9317) = 2841685 / 1
LCM(305,9317) = 2841685
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FAQs on GCF of Fractions of 4950/305, 7869/9317
1. What is the HCF of 4950,7869?
The HCF of 4950,7869 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 4950/305, 7869/9317?
Answer: GCF of Numerators as per given numbers 4950/305, 7869/9317 is
GCF of Numerators i.e. for 4950,7869 is 3
LCM of denominators i.e. for 305,9317 is 2841685.
Thus, GCF of Fractions is 3/2841685.Finally, GCF of Fractions for 4950/305, 7869/9317 is 3/2841685.