GCF of 5810/345, 6876/1412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5810/345, 6876/1412 i.e 2/487140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5810/345, 6876/1412.
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 5810/345,6876/1412?
Given fractions are 5810/345,6876/1412
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 5810/345,6876/1412, numerators are 5810,6876
Denominators are 345,1412
The GCF of 5810,6876 is 2 .
LCM of 345,1412 is 487140.
The greatest common factor of 5810/345,6876/1412 = [GCF of 5810,6876]/[LCM of 345,1412]= 2/487140
Therefore, the GCF of 5810/345,6876/1412 is 2/487140.
To find the highest common factor of 5810,6876, we have to find the factors of both numbers and list the highest common factor.
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876
The HCF of 5810,6876 is 2.
Lets's calculate GCF of 5810,6876
| 2 | 5810, 6876 |
| 2905, 3438 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5810,6876 By Matching Biggest Common Factor Method
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Now, list down the factors of 6876
:1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876
Greatest Common Factor
We found the factors 5810,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 5810,6876 is 2.
Lets's calculate LCM of 345,1412
Given numbers has no common factors except 1. So, there LCM is their product i.e 487140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487140
Therefore, the GCF of Fractions 5810/345,6876/1412 is 2/487140
Least Common Multiple of 345,1412 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 345,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,1412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,1412) x common factors =1 x 1 = 1
LCM(345,1412) = ( 345 × 1412 ) / 1
LCM(345,1412) = 487140 / 1
LCM(345,1412) = 487140
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FAQs on GCF of Fractions of 5810/345, 6876/1412
1. What is the HCF of 5810,6876?
The HCF of 5810,6876 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 5810/345, 6876/1412?
Answer: GCF of Numerators as per given numbers 5810/345, 6876/1412 is
GCF of Numerators i.e. for 5810,6876 is 2
LCM of denominators i.e. for 345,1412 is 487140.
Thus, GCF of Fractions is 2/487140.Finally, GCF of Fractions for 5810/345, 6876/1412 is 2/487140.