GCF of 1578/103, 1858/534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1578/103, 1858/534 i.e 2/55002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1578/103, 1858/534.
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 1578/103,1858/534?
Given fractions are 1578/103,1858/534
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 1578/103,1858/534, numerators are 1578,1858
Denominators are 103,534
The GCF of 1578,1858 is 2 .
LCM of 103,534 is 55002.
The greatest common factor of 1578/103,1858/534 = [GCF of 1578,1858]/[LCM of 103,534]= 2/55002
Therefore, the GCF of 1578/103,1858/534 is 2/55002.
To find the highest common factor of 1578,1858, we have to find the factors of both numbers and list the highest common factor.
The factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578
The factors of 1858 are 1, 2, 929, 1858
The HCF of 1578,1858 is 2.
Lets's calculate GCF of 1578,1858
| 2 | 1578, 1858 |
| 789, 929 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1578,1858 By Matching Biggest Common Factor Method
Now, list down the factors of 1578
:1,2,3,6,263,526,789,1578
Now, list down the factors of 1858
:1,2,929,1858
Greatest Common Factor
We found the factors 1578,1858 . The biggest common factor number is the GCF number.
So the greatest common factor 1578,1858 is 2.
Lets's calculate LCM of 103,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 55002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55002
Therefore, the GCF of Fractions 1578/103,1858/534 is 2/55002
Least Common Multiple of 103,534 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 103,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,534) x common factors =1 x 1 = 1
LCM(103,534) = ( 103 × 534 ) / 1
LCM(103,534) = 55002 / 1
LCM(103,534) = 55002
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FAQs on GCF of Fractions of 1578/103, 1858/534
1. What is the HCF of 1578,1858?
The HCF of 1578,1858 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 1578/103, 1858/534?
Answer: GCF of Numerators as per given numbers 1578/103, 1858/534 is
GCF of Numerators i.e. for 1578,1858 is 2
LCM of denominators i.e. for 103,534 is 55002.
Thus, GCF of Fractions is 2/55002.Finally, GCF of Fractions for 1578/103, 1858/534 is 2/55002.