GCF of 6630/441, 2925/4058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6630/441, 2925/4058 i.e 195/1789578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6630/441, 2925/4058.
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 6630/441,2925/4058?
Given fractions are 6630/441,2925/4058
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 6630/441,2925/4058, numerators are 6630,2925
Denominators are 441,4058
The GCF of 6630,2925 is 195 .
LCM of 441,4058 is 1789578.
The greatest common factor of 6630/441,2925/4058 = [GCF of 6630,2925]/[LCM of 441,4058]= 195/1789578
Therefore, the GCF of 6630/441,2925/4058 is 195/1789578.
To find the highest common factor of 6630,2925, we have to find the factors of both numbers and list the highest common factor.
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
The HCF of 6630,2925 is 195.
Lets's calculate GCF of 6630,2925
| 3 | 6630, 2925 |
| 5 | 2210, 975 |
| 13 | 442, 195 |
| 34, 15 |
∴ So the GCF of the given numbers is 3 x 5 x 13 = 195
Greatest Common Factor of 6630,2925 By Matching Biggest Common Factor Method
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Now, list down the factors of 2925
:1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925
Greatest Common Factor
We found the factors 6630,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 6630,2925 is 195.
Lets's calculate LCM of 441,4058
Given numbers has no common factors except 1. So, there LCM is their product i.e 1789578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/1789578
Therefore, the GCF of Fractions 6630/441,2925/4058 is 195/1789578
Least Common Multiple of 441,4058 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 441,4058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,4058) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,4058) x common factors =1 x 1 = 1
LCM(441,4058) = ( 441 × 4058 ) / 1
LCM(441,4058) = 1789578 / 1
LCM(441,4058) = 1789578
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FAQs on GCF of Fractions of 6630/441, 2925/4058
1. What is the HCF of 6630,2925?
The HCF of 6630,2925 is 195
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 6630/441, 2925/4058?
Answer: GCF of Numerators as per given numbers 6630/441, 2925/4058 is
GCF of Numerators i.e. for 6630,2925 is 195
LCM of denominators i.e. for 441,4058 is 1789578.
Thus, GCF of Fractions is 195/1789578.Finally, GCF of Fractions for 6630/441, 2925/4058 is 195/1789578.