GCF of 1149/667, 1860/3138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1149/667, 1860/3138 i.e 3/2093046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1149/667, 1860/3138.
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 1149/667,1860/3138?
Given fractions are 1149/667,1860/3138
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 1149/667,1860/3138, numerators are 1149,1860
Denominators are 667,3138
The GCF of 1149,1860 is 3 .
LCM of 667,3138 is 2093046.
The greatest common factor of 1149/667,1860/3138 = [GCF of 1149,1860]/[LCM of 667,3138]= 3/2093046
Therefore, the GCF of 1149/667,1860/3138 is 3/2093046.
To find the highest common factor of 1149,1860, we have to find the factors of both numbers and list the highest common factor.
The factors of 1149 are 1, 3, 383, 1149
The factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860
The HCF of 1149,1860 is 3.
Lets's calculate GCF of 1149,1860
| 3 | 1149, 1860 |
| 383, 620 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1149,1860 By Matching Biggest Common Factor Method
Now, list down the factors of 1149
:1,3,383,1149
Now, list down the factors of 1860
:1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860
Greatest Common Factor
We found the factors 1149,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 1149,1860 is 3.
Lets's calculate LCM of 667,3138
Given numbers has no common factors except 1. So, there LCM is their product i.e 2093046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2093046
Therefore, the GCF of Fractions 1149/667,1860/3138 is 3/2093046
Least Common Multiple of 667,3138 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 667,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,3138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,3138) x common factors =1 x 1 = 1
LCM(667,3138) = ( 667 × 3138 ) / 1
LCM(667,3138) = 2093046 / 1
LCM(667,3138) = 2093046
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FAQs on GCF of Fractions of 1149/667, 1860/3138
1. What is the HCF of 1149,1860?
The HCF of 1149,1860 is 3
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 1149/667, 1860/3138?
Answer: GCF of Numerators as per given numbers 1149/667, 1860/3138 is
GCF of Numerators i.e. for 1149,1860 is 3
LCM of denominators i.e. for 667,3138 is 2093046.
Thus, GCF of Fractions is 3/2093046.Finally, GCF of Fractions for 1149/667, 1860/3138 is 3/2093046.