GCF of 6340/362, 4194/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6340/362, 4194/952 i.e 2/172312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6340/362, 4194/952.
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 6340/362,4194/952?
Given fractions are 6340/362,4194/952
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 6340/362,4194/952, numerators are 6340,4194
Denominators are 362,952
The GCF of 6340,4194 is 2 .
LCM of 362,952 is 172312.
The greatest common factor of 6340/362,4194/952 = [GCF of 6340,4194]/[LCM of 362,952]= 2/172312
Therefore, the GCF of 6340/362,4194/952 is 2/172312.
To find the highest common factor of 6340,4194, we have to find the factors of both numbers and list the highest common factor.
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194
The HCF of 6340,4194 is 2.
Lets's calculate GCF of 6340,4194
| 2 | 6340, 4194 |
| 3170, 2097 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6340,4194 By Matching Biggest Common Factor Method
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Now, list down the factors of 4194
:1,2,3,6,9,18,233,466,699,1398,2097,4194
Greatest Common Factor
We found the factors 6340,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,4194 is 2.
Lets's calculate LCM of 362,952
| 2 | 362, 952 |
| 181, 476 |
∴ So the LCM of the given numbers is 2 x 181 x 476 = 172312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172312
Therefore, the GCF of Fractions 6340/362,4194/952 is 2/172312
Least Common Multiple of 362,952 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 362,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,952) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,952) x common factors =2 x 1 = 2
LCM(362,952) = ( 362 × 952 ) / 2
LCM(362,952) = 344624 / 2
LCM(362,952) = 172312
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FAQs on GCF of Fractions of 6340/362, 4194/952
1. What is the HCF of 6340,4194?
The HCF of 6340,4194 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 6340/362, 4194/952?
Answer: GCF of Numerators as per given numbers 6340/362, 4194/952 is
GCF of Numerators i.e. for 6340,4194 is 2
LCM of denominators i.e. for 362,952 is 172312.
Thus, GCF of Fractions is 2/172312.Finally, GCF of Fractions for 6340/362, 4194/952 is 2/172312.