GCF of 4770/690, 9576/4611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4770/690, 9576/4611 i.e 18/1060530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4770/690, 9576/4611.
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 4770/690,9576/4611?
Given fractions are 4770/690,9576/4611
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 4770/690,9576/4611, numerators are 4770,9576
Denominators are 690,4611
The GCF of 4770,9576 is 18 .
LCM of 690,4611 is 1060530.
The greatest common factor of 4770/690,9576/4611 = [GCF of 4770,9576]/[LCM of 690,4611]= 18/1060530
Therefore, the GCF of 4770/690,9576/4611 is 18/1060530.
To find the highest common factor of 4770,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 4770,9576 is 18.
Lets's calculate GCF of 4770,9576
| 2 | 4770, 9576 |
| 3 | 2385, 4788 |
| 3 | 795, 1596 |
| 265, 532 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4770,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 4770,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,9576 is 18.
Lets's calculate LCM of 690,4611
| 3 | 690, 4611 |
| 230, 1537 |
∴ So the LCM of the given numbers is 3 x 230 x 1537 = 1060530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1060530
Therefore, the GCF of Fractions 4770/690,9576/4611 is 18/1060530
Least Common Multiple of 690,4611 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 690,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,4611) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,4611) x common factors =3 x 1 = 3
LCM(690,4611) = ( 690 × 4611 ) / 3
LCM(690,4611) = 3181590 / 3
LCM(690,4611) = 1060530
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FAQs on GCF of Fractions of 4770/690, 9576/4611
1. What is the HCF of 4770,9576?
The HCF of 4770,9576 is 18
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 4770/690, 9576/4611?
Answer: GCF of Numerators as per given numbers 4770/690, 9576/4611 is
GCF of Numerators i.e. for 4770,9576 is 18
LCM of denominators i.e. for 690,4611 is 1060530.
Thus, GCF of Fractions is 18/1060530.Finally, GCF of Fractions for 4770/690, 9576/4611 is 18/1060530.