GCF of 1558/314, 2764/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1558/314, 2764/873 i.e 2/274122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1558/314, 2764/873.
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 1558/314,2764/873?
Given fractions are 1558/314,2764/873
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 1558/314,2764/873, numerators are 1558,2764
Denominators are 314,873
The GCF of 1558,2764 is 2 .
LCM of 314,873 is 274122.
The greatest common factor of 1558/314,2764/873 = [GCF of 1558,2764]/[LCM of 314,873]= 2/274122
Therefore, the GCF of 1558/314,2764/873 is 2/274122.
To find the highest common factor of 1558,2764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The HCF of 1558,2764 is 2.
Lets's calculate GCF of 1558,2764
| 2 | 1558, 2764 |
| 779, 1382 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1558,2764 By Matching Biggest Common Factor Method
Now, list down the factors of 1558
:1,2,19,38,41,82,779,1558
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 1558,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 1558,2764 is 2.
Lets's calculate LCM of 314,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 274122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274122
Therefore, the GCF of Fractions 1558/314,2764/873 is 2/274122
Least Common Multiple of 314,873 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 314,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,873) x common factors =1 x 1 = 1
LCM(314,873) = ( 314 × 873 ) / 1
LCM(314,873) = 274122 / 1
LCM(314,873) = 274122
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FAQs on GCF of Fractions of 1558/314, 2764/873
1. What is the HCF of 1558,2764?
The HCF of 1558,2764 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 1558/314, 2764/873?
Answer: GCF of Numerators as per given numbers 1558/314, 2764/873 is
GCF of Numerators i.e. for 1558,2764 is 2
LCM of denominators i.e. for 314,873 is 274122.
Thus, GCF of Fractions is 2/274122.Finally, GCF of Fractions for 1558/314, 2764/873 is 2/274122.