GCF of 8054/587, 7470/3684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8054/587, 7470/3684 i.e 2/2162508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8054/587, 7470/3684.
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 8054/587,7470/3684?
Given fractions are 8054/587,7470/3684
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 8054/587,7470/3684, numerators are 8054,7470
Denominators are 587,3684
The GCF of 8054,7470 is 2 .
LCM of 587,3684 is 2162508.
The greatest common factor of 8054/587,7470/3684 = [GCF of 8054,7470]/[LCM of 587,3684]= 2/2162508
Therefore, the GCF of 8054/587,7470/3684 is 2/2162508.
To find the highest common factor of 8054,7470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8054 are 1, 2, 4027, 8054
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The HCF of 8054,7470 is 2.
Lets's calculate GCF of 8054,7470
| 2 | 8054, 7470 |
| 4027, 3735 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8054,7470 By Matching Biggest Common Factor Method
Now, list down the factors of 8054
:1,2,4027,8054
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 8054,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 8054,7470 is 2.
Lets's calculate LCM of 587,3684
Given numbers has no common factors except 1. So, there LCM is their product i.e 2162508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2162508
Therefore, the GCF of Fractions 8054/587,7470/3684 is 2/2162508
Least Common Multiple of 587,3684 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 587,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,3684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,3684) x common factors =1 x 1 = 1
LCM(587,3684) = ( 587 × 3684 ) / 1
LCM(587,3684) = 2162508 / 1
LCM(587,3684) = 2162508
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FAQs on GCF of Fractions of 8054/587, 7470/3684
1. What is the HCF of 8054,7470?
The HCF of 8054,7470 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 8054/587, 7470/3684?
Answer: GCF of Numerators as per given numbers 8054/587, 7470/3684 is
GCF of Numerators i.e. for 8054,7470 is 2
LCM of denominators i.e. for 587,3684 is 2162508.
Thus, GCF of Fractions is 2/2162508.Finally, GCF of Fractions for 8054/587, 7470/3684 is 2/2162508.