GCF of 6624/805, 2314/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6624/805, 2314/3405 i.e 2/548205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6624/805, 2314/3405.
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 6624/805,2314/3405?
Given fractions are 6624/805,2314/3405
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 6624/805,2314/3405, numerators are 6624,2314
Denominators are 805,3405
The GCF of 6624,2314 is 2 .
LCM of 805,3405 is 548205.
The greatest common factor of 6624/805,2314/3405 = [GCF of 6624,2314]/[LCM of 805,3405]= 2/548205
Therefore, the GCF of 6624/805,2314/3405 is 2/548205.
To find the highest common factor of 6624,2314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The HCF of 6624,2314 is 2.
Lets's calculate GCF of 6624,2314
| 2 | 6624, 2314 |
| 3312, 1157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6624,2314 By Matching Biggest Common Factor Method
Now, list down the factors of 6624
:1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 6624,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 6624,2314 is 2.
Lets's calculate LCM of 805,3405
| 5 | 805, 3405 |
| 161, 681 |
∴ So the LCM of the given numbers is 5 x 161 x 681 = 548205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/548205
Therefore, the GCF of Fractions 6624/805,2314/3405 is 2/548205
Least Common Multiple of 805,3405 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 805,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,3405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(805,3405) x common factors =5 x 1 = 5
LCM(805,3405) = ( 805 × 3405 ) / 5
LCM(805,3405) = 2741025 / 5
LCM(805,3405) = 548205
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FAQs on GCF of Fractions of 6624/805, 2314/3405
1. What is the HCF of 6624,2314?
The HCF of 6624,2314 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 6624/805, 2314/3405?
Answer: GCF of Numerators as per given numbers 6624/805, 2314/3405 is
GCF of Numerators i.e. for 6624,2314 is 2
LCM of denominators i.e. for 805,3405 is 548205.
Thus, GCF of Fractions is 2/548205.Finally, GCF of Fractions for 6624/805, 2314/3405 is 2/548205.