GCF of 1130/692, 2576/4773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1130/692, 2576/4773 i.e 2/3302916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1130/692, 2576/4773.
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 1130/692,2576/4773?
Given fractions are 1130/692,2576/4773
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 1130/692,2576/4773, numerators are 1130,2576
Denominators are 692,4773
The GCF of 1130,2576 is 2 .
LCM of 692,4773 is 3302916.
The greatest common factor of 1130/692,2576/4773 = [GCF of 1130,2576]/[LCM of 692,4773]= 2/3302916
Therefore, the GCF of 1130/692,2576/4773 is 2/3302916.
To find the highest common factor of 1130,2576, we have to find the factors of both numbers and list the highest common factor.
The factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The HCF of 1130,2576 is 2.
Lets's calculate GCF of 1130,2576
| 2 | 1130, 2576 |
| 565, 1288 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1130,2576 By Matching Biggest Common Factor Method
Now, list down the factors of 1130
:1,2,5,10,113,226,565,1130
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Greatest Common Factor
We found the factors 1130,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 1130,2576 is 2.
Lets's calculate LCM of 692,4773
Given numbers has no common factors except 1. So, there LCM is their product i.e 3302916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3302916
Therefore, the GCF of Fractions 1130/692,2576/4773 is 2/3302916
Least Common Multiple of 692,4773 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 692,4773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4773) x common factors =1 x 1 = 1
LCM(692,4773) = ( 692 × 4773 ) / 1
LCM(692,4773) = 3302916 / 1
LCM(692,4773) = 3302916
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FAQs on GCF of Fractions of 1130/692, 2576/4773
1. What is the HCF of 1130,2576?
The HCF of 1130,2576 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 1130/692, 2576/4773?
Answer: GCF of Numerators as per given numbers 1130/692, 2576/4773 is
GCF of Numerators i.e. for 1130,2576 is 2
LCM of denominators i.e. for 692,4773 is 3302916.
Thus, GCF of Fractions is 2/3302916.Finally, GCF of Fractions for 1130/692, 2576/4773 is 2/3302916.