GCF of 6622/754, 4410/6588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6622/754, 4410/6588 i.e 14/2483676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6622/754, 4410/6588.
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 6622/754,4410/6588?
Given fractions are 6622/754,4410/6588
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 6622/754,4410/6588, numerators are 6622,4410
Denominators are 754,6588
The GCF of 6622,4410 is 14 .
LCM of 754,6588 is 2483676.
The greatest common factor of 6622/754,4410/6588 = [GCF of 6622,4410]/[LCM of 754,6588]= 14/2483676
Therefore, the GCF of 6622/754,4410/6588 is 14/2483676.
To find the highest common factor of 6622,4410, we have to find the factors of both numbers and list the highest common factor.
The factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The HCF of 6622,4410 is 14.
Lets's calculate GCF of 6622,4410
| 2 | 6622, 4410 |
| 7 | 3311, 2205 |
| 473, 315 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6622,4410 By Matching Biggest Common Factor Method
Now, list down the factors of 6622
:1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 6622,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 6622,4410 is 14.
Lets's calculate LCM of 754,6588
| 2 | 754, 6588 |
| 377, 3294 |
∴ So the LCM of the given numbers is 2 x 377 x 3294 = 2483676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2483676
Therefore, the GCF of Fractions 6622/754,4410/6588 is 14/2483676
Least Common Multiple of 754,6588 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 754,6588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,6588) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,6588) x common factors =2 x 1 = 2
LCM(754,6588) = ( 754 × 6588 ) / 2
LCM(754,6588) = 4967352 / 2
LCM(754,6588) = 2483676
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FAQs on GCF of Fractions of 6622/754, 4410/6588
1. What is the HCF of 6622,4410?
The HCF of 6622,4410 is 14
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 6622/754, 4410/6588?
Answer: GCF of Numerators as per given numbers 6622/754, 4410/6588 is
GCF of Numerators i.e. for 6622,4410 is 14
LCM of denominators i.e. for 754,6588 is 2483676.
Thus, GCF of Fractions is 14/2483676.Finally, GCF of Fractions for 6622/754, 4410/6588 is 14/2483676.