GCF of 3445/892, 1886/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3445/892, 1886/542 i.e 1/241732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3445/892, 1886/542.
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 3445/892,1886/542?
Given fractions are 3445/892,1886/542
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 3445/892,1886/542, numerators are 3445,1886
Denominators are 892,542
The GCF of 3445,1886 is 1 .
LCM of 892,542 is 241732.
The greatest common factor of 3445/892,1886/542 = [GCF of 3445,1886]/[LCM of 892,542]= 1/241732
Therefore, the GCF of 3445/892,1886/542 is 1/241732.
To find the highest common factor of 3445,1886, we have to find the factors of both numbers and list the highest common factor.
The factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445
The factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886
The HCF of 3445,1886 is 1.
Lets's calculate GCF of 3445,1886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3445,1886 By Matching Biggest Common Factor Method
Now, list down the factors of 3445
:1,5,13,53,65,265,689,3445
Now, list down the factors of 1886
:1,2,23,41,46,82,943,1886
Greatest Common Factor
We found the factors 3445,1886 . The biggest common factor number is the GCF number.
So the greatest common factor 3445,1886 is 1.
Lets's calculate LCM of 892,542
| 2 | 892, 542 |
| 446, 271 |
∴ So the LCM of the given numbers is 2 x 446 x 271 = 241732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241732
Therefore, the GCF of Fractions 3445/892,1886/542 is 1/241732
Least Common Multiple of 892,542 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 892,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,542) x common factors =2 x 1 = 2
LCM(892,542) = ( 892 × 542 ) / 2
LCM(892,542) = 483464 / 2
LCM(892,542) = 241732
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FAQs on GCF of Fractions of 3445/892, 1886/542
1. What is the HCF of 3445,1886?
The HCF of 3445,1886 is 1
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 3445/892, 1886/542?
Answer: GCF of Numerators as per given numbers 3445/892, 1886/542 is
GCF of Numerators i.e. for 3445,1886 is 1
LCM of denominators i.e. for 892,542 is 241732.
Thus, GCF of Fractions is 1/241732.Finally, GCF of Fractions for 3445/892, 1886/542 is 1/241732.