GCF of 3404/703, 4542/9828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3404/703, 4542/9828 i.e 2/6909084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3404/703, 4542/9828.
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 3404/703,4542/9828?
Given fractions are 3404/703,4542/9828
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 3404/703,4542/9828, numerators are 3404,4542
Denominators are 703,9828
The GCF of 3404,4542 is 2 .
LCM of 703,9828 is 6909084.
The greatest common factor of 3404/703,4542/9828 = [GCF of 3404,4542]/[LCM of 703,9828]= 2/6909084
Therefore, the GCF of 3404/703,4542/9828 is 2/6909084.
To find the highest common factor of 3404,4542, we have to find the factors of both numbers and list the highest common factor.
The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
The factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542
The HCF of 3404,4542 is 2.
Lets's calculate GCF of 3404,4542
| 2 | 3404, 4542 |
| 1702, 2271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3404,4542 By Matching Biggest Common Factor Method
Now, list down the factors of 3404
:1,2,4,23,37,46,74,92,148,851,1702,3404
Now, list down the factors of 4542
:1,2,3,6,757,1514,2271,4542
Greatest Common Factor
We found the factors 3404,4542 . The biggest common factor number is the GCF number.
So the greatest common factor 3404,4542 is 2.
Lets's calculate LCM of 703,9828
Given numbers has no common factors except 1. So, there LCM is their product i.e 6909084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6909084
Therefore, the GCF of Fractions 3404/703,4542/9828 is 2/6909084
Least Common Multiple of 703,9828 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 703,9828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,9828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,9828) x common factors =1 x 1 = 1
LCM(703,9828) = ( 703 × 9828 ) / 1
LCM(703,9828) = 6909084 / 1
LCM(703,9828) = 6909084
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FAQs on GCF of Fractions of 3404/703, 4542/9828
1. What is the HCF of 3404,4542?
The HCF of 3404,4542 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 3404/703, 4542/9828?
Answer: GCF of Numerators as per given numbers 3404/703, 4542/9828 is
GCF of Numerators i.e. for 3404,4542 is 2
LCM of denominators i.e. for 703,9828 is 6909084.
Thus, GCF of Fractions is 2/6909084.Finally, GCF of Fractions for 3404/703, 4542/9828 is 2/6909084.