GCF of 1653/104, 9414/6214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1653/104, 9414/6214 i.e 3/24856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1653/104, 9414/6214.
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 1653/104,9414/6214?
Given fractions are 1653/104,9414/6214
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 1653/104,9414/6214, numerators are 1653,9414
Denominators are 104,6214
The GCF of 1653,9414 is 3 .
LCM of 104,6214 is 24856.
The greatest common factor of 1653/104,9414/6214 = [GCF of 1653,9414]/[LCM of 104,6214]= 3/24856
Therefore, the GCF of 1653/104,9414/6214 is 3/24856.
To find the highest common factor of 1653,9414, we have to find the factors of both numbers and list the highest common factor.
The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653
The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414
The HCF of 1653,9414 is 3.
Lets's calculate GCF of 1653,9414
| 3 | 1653, 9414 |
| 551, 3138 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1653,9414 By Matching Biggest Common Factor Method
Now, list down the factors of 1653
:1,3,19,29,57,87,551,1653
Now, list down the factors of 9414
:1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Greatest Common Factor
We found the factors 1653,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 1653,9414 is 3.
Lets's calculate LCM of 104,6214
| 2 | 104, 6214 |
| 13 | 52, 3107 |
| 4, 239 |
∴ So the LCM of the given numbers is 2 x 13 x 4 x 239 = 24856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24856
Therefore, the GCF of Fractions 1653/104,9414/6214 is 3/24856
Least Common Multiple of 104,6214 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 104,6214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,6214) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(104,6214) x common factors =26 x 1 = 26
LCM(104,6214) = ( 104 × 6214 ) / 26
LCM(104,6214) = 646256 / 26
LCM(104,6214) = 24856
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FAQs on GCF of Fractions of 1653/104, 9414/6214
1. What is the HCF of 1653,9414?
The HCF of 1653,9414 is 3
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 1653/104, 9414/6214?
Answer: GCF of Numerators as per given numbers 1653/104, 9414/6214 is
GCF of Numerators i.e. for 1653,9414 is 3
LCM of denominators i.e. for 104,6214 is 24856.
Thus, GCF of Fractions is 3/24856.Finally, GCF of Fractions for 1653/104, 9414/6214 is 3/24856.