GCF of 7440/618, 4530/5718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7440/618, 4530/5718 i.e 30/588954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7440/618, 4530/5718.
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 7440/618,4530/5718?
Given fractions are 7440/618,4530/5718
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 7440/618,4530/5718, numerators are 7440,4530
Denominators are 618,5718
The GCF of 7440,4530 is 30 .
LCM of 618,5718 is 588954.
The greatest common factor of 7440/618,4530/5718 = [GCF of 7440,4530]/[LCM of 618,5718]= 30/588954
Therefore, the GCF of 7440/618,4530/5718 is 30/588954.
To find the highest common factor of 7440,4530, we have to find the factors of both numbers and list the highest common factor.
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530
The HCF of 7440,4530 is 30.
Lets's calculate GCF of 7440,4530
| 2 | 7440, 4530 |
| 3 | 3720, 2265 |
| 5 | 1240, 755 |
| 248, 151 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 7440,4530 By Matching Biggest Common Factor Method
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Now, list down the factors of 4530
:1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Greatest Common Factor
We found the factors 7440,4530 . The biggest common factor number is the GCF number.
So the greatest common factor 7440,4530 is 30.
Lets's calculate LCM of 618,5718
| 2 | 618, 5718 |
| 3 | 309, 2859 |
| 103, 953 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 953 = 588954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/588954
Therefore, the GCF of Fractions 7440/618,4530/5718 is 30/588954
Least Common Multiple of 618,5718 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 618,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,5718) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(618,5718) x common factors =6 x 1 = 6
LCM(618,5718) = ( 618 × 5718 ) / 6
LCM(618,5718) = 3533724 / 6
LCM(618,5718) = 588954
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7440/618, 4530/5718
1. What is the HCF of 7440,4530?
The HCF of 7440,4530 is 30
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 7440/618, 4530/5718?
Answer: GCF of Numerators as per given numbers 7440/618, 4530/5718 is
GCF of Numerators i.e. for 7440,4530 is 30
LCM of denominators i.e. for 618,5718 is 588954.
Thus, GCF of Fractions is 30/588954.Finally, GCF of Fractions for 7440/618, 4530/5718 is 30/588954.