GCF of 4560/736, 2790/5131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4560/736, 2790/5131 i.e 30/3776416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4560/736, 2790/5131.
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 4560/736,2790/5131?
Given fractions are 4560/736,2790/5131
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 4560/736,2790/5131, numerators are 4560,2790
Denominators are 736,5131
The GCF of 4560,2790 is 30 .
LCM of 736,5131 is 3776416.
The greatest common factor of 4560/736,2790/5131 = [GCF of 4560,2790]/[LCM of 736,5131]= 30/3776416
Therefore, the GCF of 4560/736,2790/5131 is 30/3776416.
To find the highest common factor of 4560,2790, we have to find the factors of both numbers and list the highest common factor.
The factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The HCF of 4560,2790 is 30.
Lets's calculate GCF of 4560,2790
| 2 | 4560, 2790 |
| 3 | 2280, 1395 |
| 5 | 760, 465 |
| 152, 93 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4560,2790 By Matching Biggest Common Factor Method
Now, list down the factors of 4560
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Greatest Common Factor
We found the factors 4560,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 4560,2790 is 30.
Lets's calculate LCM of 736,5131
Given numbers has no common factors except 1. So, there LCM is their product i.e 3776416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/3776416
Therefore, the GCF of Fractions 4560/736,2790/5131 is 30/3776416
Least Common Multiple of 736,5131 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 736,5131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,5131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,5131) x common factors =1 x 1 = 1
LCM(736,5131) = ( 736 × 5131 ) / 1
LCM(736,5131) = 3776416 / 1
LCM(736,5131) = 3776416
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FAQs on GCF of Fractions of 4560/736, 2790/5131
1. What is the HCF of 4560,2790?
The HCF of 4560,2790 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 4560/736, 2790/5131?
Answer: GCF of Numerators as per given numbers 4560/736, 2790/5131 is
GCF of Numerators i.e. for 4560,2790 is 30
LCM of denominators i.e. for 736,5131 is 3776416.
Thus, GCF of Fractions is 30/3776416.Finally, GCF of Fractions for 4560/736, 2790/5131 is 30/3776416.