GCF of 6030/383, 4760/3716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6030/383, 4760/3716 i.e 10/1423228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6030/383, 4760/3716.
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 6030/383,4760/3716?
Given fractions are 6030/383,4760/3716
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 6030/383,4760/3716, numerators are 6030,4760
Denominators are 383,3716
The GCF of 6030,4760 is 10 .
LCM of 383,3716 is 1423228.
The greatest common factor of 6030/383,4760/3716 = [GCF of 6030,4760]/[LCM of 383,3716]= 10/1423228
Therefore, the GCF of 6030/383,4760/3716 is 10/1423228.
To find the highest common factor of 6030,4760, we have to find the factors of both numbers and list the highest common factor.
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760
The HCF of 6030,4760 is 10.
Lets's calculate GCF of 6030,4760
| 2 | 6030, 4760 |
| 5 | 3015, 2380 |
| 603, 476 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6030,4760 By Matching Biggest Common Factor Method
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Now, list down the factors of 4760
:1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Greatest Common Factor
We found the factors 6030,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 6030,4760 is 10.
Lets's calculate LCM of 383,3716
Given numbers has no common factors except 1. So, there LCM is their product i.e 1423228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1423228
Therefore, the GCF of Fractions 6030/383,4760/3716 is 10/1423228
Least Common Multiple of 383,3716 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 383,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3716) x common factors =1 x 1 = 1
LCM(383,3716) = ( 383 × 3716 ) / 1
LCM(383,3716) = 1423228 / 1
LCM(383,3716) = 1423228
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FAQs on GCF of Fractions of 6030/383, 4760/3716
1. What is the HCF of 6030,4760?
The HCF of 6030,4760 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 6030/383, 4760/3716?
Answer: GCF of Numerators as per given numbers 6030/383, 4760/3716 is
GCF of Numerators i.e. for 6030,4760 is 10
LCM of denominators i.e. for 383,3716 is 1423228.
Thus, GCF of Fractions is 10/1423228.Finally, GCF of Fractions for 6030/383, 4760/3716 is 10/1423228.