GCF of 1610/555, 4796/9102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1610/555, 4796/9102 i.e 2/45510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1610/555, 4796/9102.
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 1610/555,4796/9102?
Given fractions are 1610/555,4796/9102
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 1610/555,4796/9102, numerators are 1610,4796
Denominators are 555,9102
The GCF of 1610,4796 is 2 .
LCM of 555,9102 is 45510.
The greatest common factor of 1610/555,4796/9102 = [GCF of 1610,4796]/[LCM of 555,9102]= 2/45510
Therefore, the GCF of 1610/555,4796/9102 is 2/45510.
To find the highest common factor of 1610,4796, we have to find the factors of both numbers and list the highest common factor.
The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
The factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796
The HCF of 1610,4796 is 2.
Lets's calculate GCF of 1610,4796
| 2 | 1610, 4796 |
| 805, 2398 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1610,4796 By Matching Biggest Common Factor Method
Now, list down the factors of 1610
:1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Now, list down the factors of 4796
:1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors 1610,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,4796 is 2.
Lets's calculate LCM of 555,9102
| 3 | 555, 9102 |
| 37 | 185, 3034 |
| 5, 82 |
∴ So the LCM of the given numbers is 3 x 37 x 5 x 82 = 45510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45510
Therefore, the GCF of Fractions 1610/555,4796/9102 is 2/45510
Least Common Multiple of 555,9102 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 555,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,9102) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(555,9102) x common factors =111 x 1 = 111
LCM(555,9102) = ( 555 × 9102 ) / 111
LCM(555,9102) = 5051610 / 111
LCM(555,9102) = 45510
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FAQs on GCF of Fractions of 1610/555, 4796/9102
1. What is the HCF of 1610,4796?
The HCF of 1610,4796 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 1610/555, 4796/9102?
Answer: GCF of Numerators as per given numbers 1610/555, 4796/9102 is
GCF of Numerators i.e. for 1610,4796 is 2
LCM of denominators i.e. for 555,9102 is 45510.
Thus, GCF of Fractions is 2/45510.Finally, GCF of Fractions for 1610/555, 4796/9102 is 2/45510.