GCF of 3730/469, 1185/9633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3730/469, 1185/9633 i.e 5/4517877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3730/469, 1185/9633.
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 3730/469,1185/9633?
Given fractions are 3730/469,1185/9633
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 3730/469,1185/9633, numerators are 3730,1185
Denominators are 469,9633
The GCF of 3730,1185 is 5 .
LCM of 469,9633 is 4517877.
The greatest common factor of 3730/469,1185/9633 = [GCF of 3730,1185]/[LCM of 469,9633]= 5/4517877
Therefore, the GCF of 3730/469,1185/9633 is 5/4517877.
To find the highest common factor of 3730,1185, we have to find the factors of both numbers and list the highest common factor.
The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730
The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The HCF of 3730,1185 is 5.
Lets's calculate GCF of 3730,1185
| 5 | 3730, 1185 |
| 746, 237 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3730,1185 By Matching Biggest Common Factor Method
Now, list down the factors of 3730
:1,2,5,10,373,746,1865,3730
Now, list down the factors of 1185
:1,3,5,15,79,237,395,1185
Greatest Common Factor
We found the factors 3730,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,1185 is 5.
Lets's calculate LCM of 469,9633
Given numbers has no common factors except 1. So, there LCM is their product i.e 4517877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4517877
Therefore, the GCF of Fractions 3730/469,1185/9633 is 5/4517877
Least Common Multiple of 469,9633 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 469,9633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,9633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,9633) x common factors =1 x 1 = 1
LCM(469,9633) = ( 469 × 9633 ) / 1
LCM(469,9633) = 4517877 / 1
LCM(469,9633) = 4517877
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FAQs on GCF of Fractions of 3730/469, 1185/9633
1. What is the HCF of 3730,1185?
The HCF of 3730,1185 is 5
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 3730/469, 1185/9633?
Answer: GCF of Numerators as per given numbers 3730/469, 1185/9633 is
GCF of Numerators i.e. for 3730,1185 is 5
LCM of denominators i.e. for 469,9633 is 4517877.
Thus, GCF of Fractions is 5/4517877.Finally, GCF of Fractions for 3730/469, 1185/9633 is 5/4517877.