GCF of 1619/129, 1408/1846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1619/129, 1408/1846 i.e 1/238134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1619/129, 1408/1846.
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 1619/129,1408/1846?
Given fractions are 1619/129,1408/1846
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 1619/129,1408/1846, numerators are 1619,1408
Denominators are 129,1846
The GCF of 1619,1408 is 1 .
LCM of 129,1846 is 238134.
The greatest common factor of 1619/129,1408/1846 = [GCF of 1619,1408]/[LCM of 129,1846]= 1/238134
Therefore, the GCF of 1619/129,1408/1846 is 1/238134.
To find the highest common factor of 1619,1408, we have to find the factors of both numbers and list the highest common factor.
The factors of 1619 are 1, 1619
The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408
The HCF of 1619,1408 is 1.
Lets's calculate GCF of 1619,1408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1619,1408 By Matching Biggest Common Factor Method
Now, list down the factors of 1619
:1,1619
Now, list down the factors of 1408
:1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408
Greatest Common Factor
We found the factors 1619,1408 . The biggest common factor number is the GCF number.
So the greatest common factor 1619,1408 is 1.
Lets's calculate LCM of 129,1846
Given numbers has no common factors except 1. So, there LCM is their product i.e 238134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238134
Therefore, the GCF of Fractions 1619/129,1408/1846 is 1/238134
Least Common Multiple of 129,1846 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 129,1846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,1846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,1846) x common factors =1 x 1 = 1
LCM(129,1846) = ( 129 × 1846 ) / 1
LCM(129,1846) = 238134 / 1
LCM(129,1846) = 238134
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FAQs on GCF of Fractions of 1619/129, 1408/1846
1. What is the HCF of 1619,1408?
The HCF of 1619,1408 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 1619/129, 1408/1846?
Answer: GCF of Numerators as per given numbers 1619/129, 1408/1846 is
GCF of Numerators i.e. for 1619,1408 is 1
LCM of denominators i.e. for 129,1846 is 238134.
Thus, GCF of Fractions is 1/238134.Finally, GCF of Fractions for 1619/129, 1408/1846 is 1/238134.