GCF of 4558/298, 3450/4646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4558/298, 3450/4646 i.e 2/692254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4558/298, 3450/4646.
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 4558/298,3450/4646?
Given fractions are 4558/298,3450/4646
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 4558/298,3450/4646, numerators are 4558,3450
Denominators are 298,4646
The GCF of 4558,3450 is 2 .
LCM of 298,4646 is 692254.
The greatest common factor of 4558/298,3450/4646 = [GCF of 4558,3450]/[LCM of 298,4646]= 2/692254
Therefore, the GCF of 4558/298,3450/4646 is 2/692254.
To find the highest common factor of 4558,3450, we have to find the factors of both numbers and list the highest common factor.
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450
The HCF of 4558,3450 is 2.
Lets's calculate GCF of 4558,3450
| 2 | 4558, 3450 |
| 2279, 1725 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4558,3450 By Matching Biggest Common Factor Method
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Now, list down the factors of 3450
:1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 4558,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 4558,3450 is 2.
Lets's calculate LCM of 298,4646
| 2 | 298, 4646 |
| 149, 2323 |
∴ So the LCM of the given numbers is 2 x 149 x 2323 = 692254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/692254
Therefore, the GCF of Fractions 4558/298,3450/4646 is 2/692254
Least Common Multiple of 298,4646 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 298,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,4646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,4646) x common factors =2 x 1 = 2
LCM(298,4646) = ( 298 × 4646 ) / 2
LCM(298,4646) = 1384508 / 2
LCM(298,4646) = 692254
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FAQs on GCF of Fractions of 4558/298, 3450/4646
1. What is the HCF of 4558,3450?
The HCF of 4558,3450 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 4558/298, 3450/4646?
Answer: GCF of Numerators as per given numbers 4558/298, 3450/4646 is
GCF of Numerators i.e. for 4558,3450 is 2
LCM of denominators i.e. for 298,4646 is 692254.
Thus, GCF of Fractions is 2/692254.Finally, GCF of Fractions for 4558/298, 3450/4646 is 2/692254.