GCF of 3050/164, 6626/8628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3050/164, 6626/8628 i.e 2/353748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3050/164, 6626/8628.
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 3050/164,6626/8628?
Given fractions are 3050/164,6626/8628
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 3050/164,6626/8628, numerators are 3050,6626
Denominators are 164,8628
The GCF of 3050,6626 is 2 .
LCM of 164,8628 is 353748.
The greatest common factor of 3050/164,6626/8628 = [GCF of 3050,6626]/[LCM of 164,8628]= 2/353748
Therefore, the GCF of 3050/164,6626/8628 is 2/353748.
To find the highest common factor of 3050,6626, we have to find the factors of both numbers and list the highest common factor.
The factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050
The factors of 6626 are 1, 2, 3313, 6626
The HCF of 3050,6626 is 2.
Lets's calculate GCF of 3050,6626
| 2 | 3050, 6626 |
| 1525, 3313 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3050,6626 By Matching Biggest Common Factor Method
Now, list down the factors of 3050
:1,2,5,10,25,50,61,122,305,610,1525,3050
Now, list down the factors of 6626
:1,2,3313,6626
Greatest Common Factor
We found the factors 3050,6626 . The biggest common factor number is the GCF number.
So the greatest common factor 3050,6626 is 2.
Lets's calculate LCM of 164,8628
| 2 | 164, 8628 |
| 2 | 82, 4314 |
| 41, 2157 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 2157 = 353748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353748
Therefore, the GCF of Fractions 3050/164,6626/8628 is 2/353748
Least Common Multiple of 164,8628 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 164,8628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,8628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,8628) x common factors =4 x 1 = 4
LCM(164,8628) = ( 164 × 8628 ) / 4
LCM(164,8628) = 1414992 / 4
LCM(164,8628) = 353748
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FAQs on GCF of Fractions of 3050/164, 6626/8628
1. What is the HCF of 3050,6626?
The HCF of 3050,6626 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 3050/164, 6626/8628?
Answer: GCF of Numerators as per given numbers 3050/164, 6626/8628 is
GCF of Numerators i.e. for 3050,6626 is 2
LCM of denominators i.e. for 164,8628 is 353748.
Thus, GCF of Fractions is 2/353748.Finally, GCF of Fractions for 3050/164, 6626/8628 is 2/353748.