GCF of 3780/629, 9550/5653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3780/629, 9550/5653 i.e 10/3555737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3780/629, 9550/5653.
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 3780/629,9550/5653?
Given fractions are 3780/629,9550/5653
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 3780/629,9550/5653, numerators are 3780,9550
Denominators are 629,5653
The GCF of 3780,9550 is 10 .
LCM of 629,5653 is 3555737.
The greatest common factor of 3780/629,9550/5653 = [GCF of 3780,9550]/[LCM of 629,5653]= 10/3555737
Therefore, the GCF of 3780/629,9550/5653 is 10/3555737.
To find the highest common factor of 3780,9550, we have to find the factors of both numbers and list the highest common factor.
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550
The HCF of 3780,9550 is 10.
Lets's calculate GCF of 3780,9550
| 2 | 3780, 9550 |
| 5 | 1890, 4775 |
| 378, 955 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3780,9550 By Matching Biggest Common Factor Method
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Now, list down the factors of 9550
:1,2,5,10,25,50,191,382,955,1910,4775,9550
Greatest Common Factor
We found the factors 3780,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,9550 is 10.
Lets's calculate LCM of 629,5653
Given numbers has no common factors except 1. So, there LCM is their product i.e 3555737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3555737
Therefore, the GCF of Fractions 3780/629,9550/5653 is 10/3555737
Least Common Multiple of 629,5653 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 629,5653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,5653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,5653) x common factors =1 x 1 = 1
LCM(629,5653) = ( 629 × 5653 ) / 1
LCM(629,5653) = 3555737 / 1
LCM(629,5653) = 3555737
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3780/629, 9550/5653
1. What is the HCF of 3780,9550?
The HCF of 3780,9550 is 10
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 3780/629, 9550/5653?
Answer: GCF of Numerators as per given numbers 3780/629, 9550/5653 is
GCF of Numerators i.e. for 3780,9550 is 10
LCM of denominators i.e. for 629,5653 is 3555737.
Thus, GCF of Fractions is 10/3555737.Finally, GCF of Fractions for 3780/629, 9550/5653 is 10/3555737.