GCF of 9380/692, 1036/2571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9380/692, 1036/2571 i.e 28/1779132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9380/692, 1036/2571.
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 9380/692,1036/2571?
Given fractions are 9380/692,1036/2571
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 9380/692,1036/2571, numerators are 9380,1036
Denominators are 692,2571
The GCF of 9380,1036 is 28 .
LCM of 692,2571 is 1779132.
The greatest common factor of 9380/692,1036/2571 = [GCF of 9380,1036]/[LCM of 692,2571]= 28/1779132
Therefore, the GCF of 9380/692,1036/2571 is 28/1779132.
To find the highest common factor of 9380,1036, we have to find the factors of both numbers and list the highest common factor.
The factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The HCF of 9380,1036 is 28.
Lets's calculate GCF of 9380,1036
| 2 | 9380, 1036 |
| 2 | 4690, 518 |
| 7 | 2345, 259 |
| 335, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9380,1036 By Matching Biggest Common Factor Method
Now, list down the factors of 9380
:1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Greatest Common Factor
We found the factors 9380,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 9380,1036 is 28.
Lets's calculate LCM of 692,2571
Given numbers has no common factors except 1. So, there LCM is their product i.e 1779132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1779132
Therefore, the GCF of Fractions 9380/692,1036/2571 is 28/1779132
Least Common Multiple of 692,2571 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 692,2571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,2571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,2571) x common factors =1 x 1 = 1
LCM(692,2571) = ( 692 × 2571 ) / 1
LCM(692,2571) = 1779132 / 1
LCM(692,2571) = 1779132
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FAQs on GCF of Fractions of 9380/692, 1036/2571
1. What is the HCF of 9380,1036?
The HCF of 9380,1036 is 28
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 9380/692, 1036/2571?
Answer: GCF of Numerators as per given numbers 9380/692, 1036/2571 is
GCF of Numerators i.e. for 9380,1036 is 28
LCM of denominators i.e. for 692,2571 is 1779132.
Thus, GCF of Fractions is 28/1779132.Finally, GCF of Fractions for 9380/692, 1036/2571 is 28/1779132.