GCF of 4902/596, 3638/8776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4902/596, 3638/8776 i.e 2/1307624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4902/596, 3638/8776.
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 4902/596,3638/8776?
Given fractions are 4902/596,3638/8776
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 4902/596,3638/8776, numerators are 4902,3638
Denominators are 596,8776
The GCF of 4902,3638 is 2 .
LCM of 596,8776 is 1307624.
The greatest common factor of 4902/596,3638/8776 = [GCF of 4902,3638]/[LCM of 596,8776]= 2/1307624
Therefore, the GCF of 4902/596,3638/8776 is 2/1307624.
To find the highest common factor of 4902,3638, 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 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638
The HCF of 4902,3638 is 2.
Lets's calculate GCF of 4902,3638
| 2 | 4902, 3638 |
| 2451, 1819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4902,3638 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 3638
:1,2,17,34,107,214,1819,3638
Greatest Common Factor
We found the factors 4902,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 4902,3638 is 2.
Lets's calculate LCM of 596,8776
| 2 | 596, 8776 |
| 2 | 298, 4388 |
| 149, 2194 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 2194 = 1307624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1307624
Therefore, the GCF of Fractions 4902/596,3638/8776 is 2/1307624
Least Common Multiple of 596,8776 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 596,8776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,8776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,8776) x common factors =4 x 1 = 4
LCM(596,8776) = ( 596 × 8776 ) / 4
LCM(596,8776) = 5230496 / 4
LCM(596,8776) = 1307624
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FAQs on GCF of Fractions of 4902/596, 3638/8776
1. What is the HCF of 4902,3638?
The HCF of 4902,3638 is 2
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 4902/596, 3638/8776?
Answer: GCF of Numerators as per given numbers 4902/596, 3638/8776 is
GCF of Numerators i.e. for 4902,3638 is 2
LCM of denominators i.e. for 596,8776 is 1307624.
Thus, GCF of Fractions is 2/1307624.Finally, GCF of Fractions for 4902/596, 3638/8776 is 2/1307624.