GCF of 9782/144, 5040/2308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9782/144, 5040/2308 i.e 2/83088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9782/144, 5040/2308.
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 9782/144,5040/2308?
Given fractions are 9782/144,5040/2308
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 9782/144,5040/2308, numerators are 9782,5040
Denominators are 144,2308
The GCF of 9782,5040 is 2 .
LCM of 144,2308 is 83088.
The greatest common factor of 9782/144,5040/2308 = [GCF of 9782,5040]/[LCM of 144,2308]= 2/83088
Therefore, the GCF of 9782/144,5040/2308 is 2/83088.
To find the highest common factor of 9782,5040, we have to find the factors of both numbers and list the highest common factor.
The factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782
The factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
The HCF of 9782,5040 is 2.
Lets's calculate GCF of 9782,5040
| 2 | 9782, 5040 |
| 4891, 2520 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9782,5040 By Matching Biggest Common Factor Method
Now, list down the factors of 9782
:1,2,67,73,134,146,4891,9782
Now, list down the factors of 5040
:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
Greatest Common Factor
We found the factors 9782,5040 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,5040 is 2.
Lets's calculate LCM of 144,2308
| 2 | 144, 2308 |
| 2 | 72, 1154 |
| 36, 577 |
∴ So the LCM of the given numbers is 2 x 2 x 36 x 577 = 83088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83088
Therefore, the GCF of Fractions 9782/144,5040/2308 is 2/83088
Least Common Multiple of 144,2308 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 144,2308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,2308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(144,2308) x common factors =4 x 1 = 4
LCM(144,2308) = ( 144 × 2308 ) / 4
LCM(144,2308) = 332352 / 4
LCM(144,2308) = 83088
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FAQs on GCF of Fractions of 9782/144, 5040/2308
1. What is the HCF of 9782,5040?
The HCF of 9782,5040 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 9782/144, 5040/2308?
Answer: GCF of Numerators as per given numbers 9782/144, 5040/2308 is
GCF of Numerators i.e. for 9782,5040 is 2
LCM of denominators i.e. for 144,2308 is 83088.
Thus, GCF of Fractions is 2/83088.Finally, GCF of Fractions for 9782/144, 5040/2308 is 2/83088.