GCF of 8688/540, 2294/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8688/540, 2294/675 i.e 2/2700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8688/540, 2294/675.
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 8688/540,2294/675?
Given fractions are 8688/540,2294/675
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 8688/540,2294/675, numerators are 8688,2294
Denominators are 540,675
The GCF of 8688,2294 is 2 .
LCM of 540,675 is 2700.
The greatest common factor of 8688/540,2294/675 = [GCF of 8688,2294]/[LCM of 540,675]= 2/2700
Therefore, the GCF of 8688/540,2294/675 is 2/2700.
To find the highest common factor of 8688,2294, we have to find the factors of both numbers and list the highest common factor.
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The factors of 2294 are 1, 2, 31, 37, 62, 74, 1147, 2294
The HCF of 8688,2294 is 2.
Lets's calculate GCF of 8688,2294
| 2 | 8688, 2294 |
| 4344, 1147 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8688,2294 By Matching Biggest Common Factor Method
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Now, list down the factors of 2294
:1,2,31,37,62,74,1147,2294
Greatest Common Factor
We found the factors 8688,2294 . The biggest common factor number is the GCF number.
So the greatest common factor 8688,2294 is 2.
Lets's calculate LCM of 540,675
| 3 | 540, 675 |
| 3 | 180, 225 |
| 3 | 60, 75 |
| 5 | 20, 25 |
| 4, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 4 x 5 = 2700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700
Therefore, the GCF of Fractions 8688/540,2294/675 is 2/2700
Least Common Multiple of 540,675 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 540,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,675) = 135
common factors(in case of two or more numbers have common factors) = 1
GCF(540,675) x common factors =135 x 1 = 135
LCM(540,675) = ( 540 × 675 ) / 135
LCM(540,675) = 364500 / 135
LCM(540,675) = 2700
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FAQs on GCF of Fractions of 8688/540, 2294/675
1. What is the HCF of 8688,2294?
The HCF of 8688,2294 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 8688/540, 2294/675?
Answer: GCF of Numerators as per given numbers 8688/540, 2294/675 is
GCF of Numerators i.e. for 8688,2294 is 2
LCM of denominators i.e. for 540,675 is 2700.
Thus, GCF of Fractions is 2/2700.Finally, GCF of Fractions for 8688/540, 2294/675 is 2/2700.