GCF of 3183/361, 6750/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3183/361, 6750/740 i.e 3/267140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3183/361, 6750/740.
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 3183/361,6750/740?
Given fractions are 3183/361,6750/740
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 3183/361,6750/740, numerators are 3183,6750
Denominators are 361,740
The GCF of 3183,6750 is 3 .
LCM of 361,740 is 267140.
The greatest common factor of 3183/361,6750/740 = [GCF of 3183,6750]/[LCM of 361,740]= 3/267140
Therefore, the GCF of 3183/361,6750/740 is 3/267140.
To find the highest common factor of 3183,6750, we have to find the factors of both numbers and list the highest common factor.
The factors of 3183 are 1, 3, 1061, 3183
The factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750
The HCF of 3183,6750 is 3.
Lets's calculate GCF of 3183,6750
| 3 | 3183, 6750 |
| 1061, 2250 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3183,6750 By Matching Biggest Common Factor Method
Now, list down the factors of 3183
:1,3,1061,3183
Now, list down the factors of 6750
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Greatest Common Factor
We found the factors 3183,6750 . The biggest common factor number is the GCF number.
So the greatest common factor 3183,6750 is 3.
Lets's calculate LCM of 361,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 267140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/267140
Therefore, the GCF of Fractions 3183/361,6750/740 is 3/267140
Least Common Multiple of 361,740 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 361,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,740) x common factors =1 x 1 = 1
LCM(361,740) = ( 361 × 740 ) / 1
LCM(361,740) = 267140 / 1
LCM(361,740) = 267140
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FAQs on GCF of Fractions of 3183/361, 6750/740
1. What is the HCF of 3183,6750?
The HCF of 3183,6750 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 3183/361, 6750/740?
Answer: GCF of Numerators as per given numbers 3183/361, 6750/740 is
GCF of Numerators i.e. for 3183,6750 is 3
LCM of denominators i.e. for 361,740 is 267140.
Thus, GCF of Fractions is 3/267140.Finally, GCF of Fractions for 3183/361, 6750/740 is 3/267140.