GCF of 1896/199, 3154/5817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1896/199, 3154/5817 i.e 2/1157583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1896/199, 3154/5817.
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 1896/199,3154/5817?
Given fractions are 1896/199,3154/5817
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 1896/199,3154/5817, numerators are 1896,3154
Denominators are 199,5817
The GCF of 1896,3154 is 2 .
LCM of 199,5817 is 1157583.
The greatest common factor of 1896/199,3154/5817 = [GCF of 1896,3154]/[LCM of 199,5817]= 2/1157583
Therefore, the GCF of 1896/199,3154/5817 is 2/1157583.
To find the highest common factor of 1896,3154, we have to find the factors of both numbers and list the highest common factor.
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154
The HCF of 1896,3154 is 2.
Lets's calculate GCF of 1896,3154
| 2 | 1896, 3154 |
| 948, 1577 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1896,3154 By Matching Biggest Common Factor Method
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Now, list down the factors of 3154
:1,2,19,38,83,166,1577,3154
Greatest Common Factor
We found the factors 1896,3154 . The biggest common factor number is the GCF number.
So the greatest common factor 1896,3154 is 2.
Lets's calculate LCM of 199,5817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1157583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1157583
Therefore, the GCF of Fractions 1896/199,3154/5817 is 2/1157583
Least Common Multiple of 199,5817 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 199,5817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,5817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,5817) x common factors =1 x 1 = 1
LCM(199,5817) = ( 199 × 5817 ) / 1
LCM(199,5817) = 1157583 / 1
LCM(199,5817) = 1157583
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FAQs on GCF of Fractions of 1896/199, 3154/5817
1. What is the HCF of 1896,3154?
The HCF of 1896,3154 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 1896/199, 3154/5817?
Answer: GCF of Numerators as per given numbers 1896/199, 3154/5817 is
GCF of Numerators i.e. for 1896,3154 is 2
LCM of denominators i.e. for 199,5817 is 1157583.
Thus, GCF of Fractions is 2/1157583.Finally, GCF of Fractions for 1896/199, 3154/5817 is 2/1157583.