GCF of 4902/540, 9630/2949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4902/540, 9630/2949 i.e 6/530820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4902/540, 9630/2949.
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 4902/540,9630/2949?
Given fractions are 4902/540,9630/2949
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 4902/540,9630/2949, numerators are 4902,9630
Denominators are 540,2949
The GCF of 4902,9630 is 6 .
LCM of 540,2949 is 530820.
The greatest common factor of 4902/540,9630/2949 = [GCF of 4902,9630]/[LCM of 540,2949]= 6/530820
Therefore, the GCF of 4902/540,9630/2949 is 6/530820.
To find the highest common factor of 4902,9630, we have to find the factors of both numbers and list the highest common factor.
The factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
The factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
The HCF of 4902,9630 is 6.
Lets's calculate GCF of 4902,9630
| 2 | 4902, 9630 |
| 3 | 2451, 4815 |
| 817, 1605 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4902,9630 By Matching Biggest Common Factor Method
Now, list down the factors of 4902
:1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Now, list down the factors of 9630
:1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630
Greatest Common Factor
We found the factors 4902,9630 . The biggest common factor number is the GCF number.
So the greatest common factor 4902,9630 is 6.
Lets's calculate LCM of 540,2949
| 3 | 540, 2949 |
| 180, 983 |
∴ So the LCM of the given numbers is 3 x 180 x 983 = 530820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/530820
Therefore, the GCF of Fractions 4902/540,9630/2949 is 6/530820
Least Common Multiple of 540,2949 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 540,2949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,2949) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,2949) x common factors =3 x 1 = 3
LCM(540,2949) = ( 540 × 2949 ) / 3
LCM(540,2949) = 1592460 / 3
LCM(540,2949) = 530820
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FAQs on GCF of Fractions of 4902/540, 9630/2949
1. What is the HCF of 4902,9630?
The HCF of 4902,9630 is 6
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 4902/540, 9630/2949?
Answer: GCF of Numerators as per given numbers 4902/540, 9630/2949 is
GCF of Numerators i.e. for 4902,9630 is 6
LCM of denominators i.e. for 540,2949 is 530820.
Thus, GCF of Fractions is 6/530820.Finally, GCF of Fractions for 4902/540, 9630/2949 is 6/530820.