GCF of 4576/210, 4787/1780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4576/210, 4787/1780 i.e 1/37380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4576/210, 4787/1780.
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 4576/210,4787/1780?
Given fractions are 4576/210,4787/1780
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 4576/210,4787/1780, numerators are 4576,4787
Denominators are 210,1780
The GCF of 4576,4787 is 1 .
LCM of 210,1780 is 37380.
The greatest common factor of 4576/210,4787/1780 = [GCF of 4576,4787]/[LCM of 210,1780]= 1/37380
Therefore, the GCF of 4576/210,4787/1780 is 1/37380.
To find the highest common factor of 4576,4787, we have to find the factors of both numbers and list the highest common factor.
The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576
The factors of 4787 are 1, 4787
The HCF of 4576,4787 is 1.
Lets's calculate GCF of 4576,4787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4576,4787 By Matching Biggest Common Factor Method
Now, list down the factors of 4576
:1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Now, list down the factors of 4787
:1,4787
Greatest Common Factor
We found the factors 4576,4787 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,4787 is 1.
Lets's calculate LCM of 210,1780
| 2 | 210, 1780 |
| 5 | 105, 890 |
| 21, 178 |
∴ So the LCM of the given numbers is 2 x 5 x 21 x 178 = 37380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37380
Therefore, the GCF of Fractions 4576/210,4787/1780 is 1/37380
Least Common Multiple of 210,1780 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 210,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,1780) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(210,1780) x common factors =10 x 1 = 10
LCM(210,1780) = ( 210 × 1780 ) / 10
LCM(210,1780) = 373800 / 10
LCM(210,1780) = 37380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4576/210, 4787/1780
1. What is the HCF of 4576,4787?
The HCF of 4576,4787 is 1
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 4576/210, 4787/1780?
Answer: GCF of Numerators as per given numbers 4576/210, 4787/1780 is
GCF of Numerators i.e. for 4576,4787 is 1
LCM of denominators i.e. for 210,1780 is 37380.
Thus, GCF of Fractions is 1/37380.Finally, GCF of Fractions for 4576/210, 4787/1780 is 1/37380.