GCF of 2662/735, 6624/5613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2662/735, 6624/5613 i.e 2/1375185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2662/735, 6624/5613.
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 2662/735,6624/5613?
Given fractions are 2662/735,6624/5613
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 2662/735,6624/5613, numerators are 2662,6624
Denominators are 735,5613
The GCF of 2662,6624 is 2 .
LCM of 735,5613 is 1375185.
The greatest common factor of 2662/735,6624/5613 = [GCF of 2662,6624]/[LCM of 735,5613]= 2/1375185
Therefore, the GCF of 2662/735,6624/5613 is 2/1375185.
To find the highest common factor of 2662,6624, we have to find the factors of both numbers and list the highest common factor.
The factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662
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 HCF of 2662,6624 is 2.
Lets's calculate GCF of 2662,6624
| 2 | 2662, 6624 |
| 1331, 3312 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2662,6624 By Matching Biggest Common Factor Method
Now, list down the factors of 2662
:1,2,11,22,121,242,1331,2662
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
Greatest Common Factor
We found the factors 2662,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 2662,6624 is 2.
Lets's calculate LCM of 735,5613
| 3 | 735, 5613 |
| 245, 1871 |
∴ So the LCM of the given numbers is 3 x 245 x 1871 = 1375185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1375185
Therefore, the GCF of Fractions 2662/735,6624/5613 is 2/1375185
Least Common Multiple of 735,5613 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 735,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,5613) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,5613) x common factors =3 x 1 = 3
LCM(735,5613) = ( 735 × 5613 ) / 3
LCM(735,5613) = 4125555 / 3
LCM(735,5613) = 1375185
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FAQs on GCF of Fractions of 2662/735, 6624/5613
1. What is the HCF of 2662,6624?
The HCF of 2662,6624 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 2662/735, 6624/5613?
Answer: GCF of Numerators as per given numbers 2662/735, 6624/5613 is
GCF of Numerators i.e. for 2662,6624 is 2
LCM of denominators i.e. for 735,5613 is 1375185.
Thus, GCF of Fractions is 2/1375185.Finally, GCF of Fractions for 2662/735, 6624/5613 is 2/1375185.