GCF of 3730/118, 5775/4611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3730/118, 5775/4611 i.e 5/544098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3730/118, 5775/4611.
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 3730/118,5775/4611?
Given fractions are 3730/118,5775/4611
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 3730/118,5775/4611, numerators are 3730,5775
Denominators are 118,4611
The GCF of 3730,5775 is 5 .
LCM of 118,4611 is 544098.
The greatest common factor of 3730/118,5775/4611 = [GCF of 3730,5775]/[LCM of 118,4611]= 5/544098
Therefore, the GCF of 3730/118,5775/4611 is 5/544098.
To find the highest common factor of 3730,5775, 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 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The HCF of 3730,5775 is 5.
Lets's calculate GCF of 3730,5775
| 5 | 3730, 5775 |
| 746, 1155 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3730,5775 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 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 3730,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,5775 is 5.
Lets's calculate LCM of 118,4611
Given numbers has no common factors except 1. So, there LCM is their product i.e 544098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/544098
Therefore, the GCF of Fractions 3730/118,5775/4611 is 5/544098
Least Common Multiple of 118,4611 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 118,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,4611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,4611) x common factors =1 x 1 = 1
LCM(118,4611) = ( 118 × 4611 ) / 1
LCM(118,4611) = 544098 / 1
LCM(118,4611) = 544098
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FAQs on GCF of Fractions of 3730/118, 5775/4611
1. What is the HCF of 3730,5775?
The HCF of 3730,5775 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 3730/118, 5775/4611?
Answer: GCF of Numerators as per given numbers 3730/118, 5775/4611 is
GCF of Numerators i.e. for 3730,5775 is 5
LCM of denominators i.e. for 118,4611 is 544098.
Thus, GCF of Fractions is 5/544098.Finally, GCF of Fractions for 3730/118, 5775/4611 is 5/544098.