GCF of 2810/698, 1058/3820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2810/698, 1058/3820 i.e 2/1333180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2810/698, 1058/3820.
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 2810/698,1058/3820?
Given fractions are 2810/698,1058/3820
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 2810/698,1058/3820, numerators are 2810,1058
Denominators are 698,3820
The GCF of 2810,1058 is 2 .
LCM of 698,3820 is 1333180.
The greatest common factor of 2810/698,1058/3820 = [GCF of 2810,1058]/[LCM of 698,3820]= 2/1333180
Therefore, the GCF of 2810/698,1058/3820 is 2/1333180.
To find the highest common factor of 2810,1058, we have to find the factors of both numbers and list the highest common factor.
The factors of 2810 are 1, 2, 5, 10, 281, 562, 1405, 2810
The factors of 1058 are 1, 2, 23, 46, 529, 1058
The HCF of 2810,1058 is 2.
Lets's calculate GCF of 2810,1058
| 2 | 2810, 1058 |
| 1405, 529 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2810,1058 By Matching Biggest Common Factor Method
Now, list down the factors of 2810
:1,2,5,10,281,562,1405,2810
Now, list down the factors of 1058
:1,2,23,46,529,1058
Greatest Common Factor
We found the factors 2810,1058 . The biggest common factor number is the GCF number.
So the greatest common factor 2810,1058 is 2.
Lets's calculate LCM of 698,3820
| 2 | 698, 3820 |
| 349, 1910 |
∴ So the LCM of the given numbers is 2 x 349 x 1910 = 1333180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1333180
Therefore, the GCF of Fractions 2810/698,1058/3820 is 2/1333180
Least Common Multiple of 698,3820 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 698,3820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,3820) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,3820) x common factors =2 x 1 = 2
LCM(698,3820) = ( 698 × 3820 ) / 2
LCM(698,3820) = 2666360 / 2
LCM(698,3820) = 1333180
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FAQs on GCF of Fractions of 2810/698, 1058/3820
1. What is the HCF of 2810,1058?
The HCF of 2810,1058 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 2810/698, 1058/3820?
Answer: GCF of Numerators as per given numbers 2810/698, 1058/3820 is
GCF of Numerators i.e. for 2810,1058 is 2
LCM of denominators i.e. for 698,3820 is 1333180.
Thus, GCF of Fractions is 2/1333180.Finally, GCF of Fractions for 2810/698, 1058/3820 is 2/1333180.