GCF of 3506/288, 5340/8550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3506/288, 5340/8550 i.e 2/136800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3506/288, 5340/8550.
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 3506/288,5340/8550?
Given fractions are 3506/288,5340/8550
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 3506/288,5340/8550, numerators are 3506,5340
Denominators are 288,8550
The GCF of 3506,5340 is 2 .
LCM of 288,8550 is 136800.
The greatest common factor of 3506/288,5340/8550 = [GCF of 3506,5340]/[LCM of 288,8550]= 2/136800
Therefore, the GCF of 3506/288,5340/8550 is 2/136800.
To find the highest common factor of 3506,5340, we have to find the factors of both numbers and list the highest common factor.
The factors of 3506 are 1, 2, 1753, 3506
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The HCF of 3506,5340 is 2.
Lets's calculate GCF of 3506,5340
| 2 | 3506, 5340 |
| 1753, 2670 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3506,5340 By Matching Biggest Common Factor Method
Now, list down the factors of 3506
:1,2,1753,3506
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 3506,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,5340 is 2.
Lets's calculate LCM of 288,8550
| 2 | 288, 8550 |
| 3 | 144, 4275 |
| 3 | 48, 1425 |
| 16, 475 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 475 = 136800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136800
Therefore, the GCF of Fractions 3506/288,5340/8550 is 2/136800
Least Common Multiple of 288,8550 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 288,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,8550) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(288,8550) x common factors =18 x 1 = 18
LCM(288,8550) = ( 288 × 8550 ) / 18
LCM(288,8550) = 2462400 / 18
LCM(288,8550) = 136800
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FAQs on GCF of Fractions of 3506/288, 5340/8550
1. What is the HCF of 3506,5340?
The HCF of 3506,5340 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 3506/288, 5340/8550?
Answer: GCF of Numerators as per given numbers 3506/288, 5340/8550 is
GCF of Numerators i.e. for 3506,5340 is 2
LCM of denominators i.e. for 288,8550 is 136800.
Thus, GCF of Fractions is 2/136800.Finally, GCF of Fractions for 3506/288, 5340/8550 is 2/136800.