GCF of 7341/426, 4170/1844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7341/426, 4170/1844 i.e 3/392772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7341/426, 4170/1844.
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 7341/426,4170/1844?
Given fractions are 7341/426,4170/1844
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 7341/426,4170/1844, numerators are 7341,4170
Denominators are 426,1844
The GCF of 7341,4170 is 3 .
LCM of 426,1844 is 392772.
The greatest common factor of 7341/426,4170/1844 = [GCF of 7341,4170]/[LCM of 426,1844]= 3/392772
Therefore, the GCF of 7341/426,4170/1844 is 3/392772.
To find the highest common factor of 7341,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 7341 are 1, 3, 2447, 7341
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 7341,4170 is 3.
Lets's calculate GCF of 7341,4170
| 3 | 7341, 4170 |
| 2447, 1390 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7341,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 7341
:1,3,2447,7341
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 7341,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 7341,4170 is 3.
Lets's calculate LCM of 426,1844
| 2 | 426, 1844 |
| 213, 922 |
∴ So the LCM of the given numbers is 2 x 213 x 922 = 392772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/392772
Therefore, the GCF of Fractions 7341/426,4170/1844 is 3/392772
Least Common Multiple of 426,1844 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 426,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,1844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,1844) x common factors =2 x 1 = 2
LCM(426,1844) = ( 426 × 1844 ) / 2
LCM(426,1844) = 785544 / 2
LCM(426,1844) = 392772
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FAQs on GCF of Fractions of 7341/426, 4170/1844
1. What is the HCF of 7341,4170?
The HCF of 7341,4170 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 7341/426, 4170/1844?
Answer: GCF of Numerators as per given numbers 7341/426, 4170/1844 is
GCF of Numerators i.e. for 7341,4170 is 3
LCM of denominators i.e. for 426,1844 is 392772.
Thus, GCF of Fractions is 3/392772.Finally, GCF of Fractions for 7341/426, 4170/1844 is 3/392772.