GCF of 8999/654, 3780/5014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8999/654, 3780/5014 i.e 1/15042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8999/654, 3780/5014.
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 8999/654,3780/5014?
Given fractions are 8999/654,3780/5014
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 8999/654,3780/5014, numerators are 8999,3780
Denominators are 654,5014
The GCF of 8999,3780 is 1 .
LCM of 654,5014 is 15042.
The greatest common factor of 8999/654,3780/5014 = [GCF of 8999,3780]/[LCM of 654,5014]= 1/15042
Therefore, the GCF of 8999/654,3780/5014 is 1/15042.
To find the highest common factor of 8999,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 8999 are 1, 8999
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 8999,3780 is 1.
Lets's calculate GCF of 8999,3780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8999,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 8999
:1,8999
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 8999,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 8999,3780 is 1.
Lets's calculate LCM of 654,5014
| 2 | 654, 5014 |
| 109 | 327, 2507 |
| 3, 23 |
∴ So the LCM of the given numbers is 2 x 109 x 3 x 23 = 15042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15042
Therefore, the GCF of Fractions 8999/654,3780/5014 is 1/15042
Least Common Multiple of 654,5014 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 654,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,5014) = 218
common factors(in case of two or more numbers have common factors) = 1
GCF(654,5014) x common factors =218 x 1 = 218
LCM(654,5014) = ( 654 × 5014 ) / 218
LCM(654,5014) = 3279156 / 218
LCM(654,5014) = 15042
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FAQs on GCF of Fractions of 8999/654, 3780/5014
1. What is the HCF of 8999,3780?
The HCF of 8999,3780 is 1
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 8999/654, 3780/5014?
Answer: GCF of Numerators as per given numbers 8999/654, 3780/5014 is
GCF of Numerators i.e. for 8999,3780 is 1
LCM of denominators i.e. for 654,5014 is 15042.
Thus, GCF of Fractions is 1/15042.Finally, GCF of Fractions for 8999/654, 3780/5014 is 1/15042.