GCF of 7284/390, 1050/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7284/390, 1050/461 i.e 6/179790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7284/390, 1050/461.
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 7284/390,1050/461?
Given fractions are 7284/390,1050/461
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 7284/390,1050/461, numerators are 7284,1050
Denominators are 390,461
The GCF of 7284,1050 is 6 .
LCM of 390,461 is 179790.
The greatest common factor of 7284/390,1050/461 = [GCF of 7284,1050]/[LCM of 390,461]= 6/179790
Therefore, the GCF of 7284/390,1050/461 is 6/179790.
To find the highest common factor of 7284,1050, we have to find the factors of both numbers and list the highest common factor.
The factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The HCF of 7284,1050 is 6.
Lets's calculate GCF of 7284,1050
| 2 | 7284, 1050 |
| 3 | 3642, 525 |
| 1214, 175 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7284,1050 By Matching Biggest Common Factor Method
Now, list down the factors of 7284
:1,2,3,4,6,12,607,1214,1821,2428,3642,7284
Now, list down the factors of 1050
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 7284,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 7284,1050 is 6.
Lets's calculate LCM of 390,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 179790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/179790
Therefore, the GCF of Fractions 7284/390,1050/461 is 6/179790
Least Common Multiple of 390,461 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 390,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(390,461) x common factors =1 x 1 = 1
LCM(390,461) = ( 390 × 461 ) / 1
LCM(390,461) = 179790 / 1
LCM(390,461) = 179790
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FAQs on GCF of Fractions of 7284/390, 1050/461
1. What is the HCF of 7284,1050?
The HCF of 7284,1050 is 6
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 7284/390, 1050/461?
Answer: GCF of Numerators as per given numbers 7284/390, 1050/461 is
GCF of Numerators i.e. for 7284,1050 is 6
LCM of denominators i.e. for 390,461 is 179790.
Thus, GCF of Fractions is 6/179790.Finally, GCF of Fractions for 7284/390, 1050/461 is 6/179790.