GCF of 14/892, 496/840, 322/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/892, 496/840, 322/407 i.e 2/76239240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/892, 496/840, 322/407.
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 14/892,496/840,322/407?
Given fractions are 14/892,496/840,322/407
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 14/892,496/840,322/407, numerators are 14,496,322
Denominators are 892,840,407
The GCF of 14,496,322 is 2 .
LCM of 892,840,407 is 76239240.
The greatest common factor of 14/892,496/840,322/407 = [GCF of 14,496,322]/[LCM of 892,840,407]= 2/76239240
Therefore, the GCF of 14/892,496/840,322/407 is 2/76239240.
To find the highest common factor of 14,496,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 14,496,322 is 2.
Lets's calculate GCF of 14,496,322
| 2 | 14, 496, 322 |
| 7, 248, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,496,322 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 14,496,322 . The biggest common factor number is the GCF number.
So the greatest common factor 14,496,322 is 2.
Lets's calculate LCM of 892,840,407
| 2 | 892, 840, 407 |
| 2 | 446, 420, 407 |
| 223, 210, 407 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 210 x 407 = 76239240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76239240
Therefore, the GCF of Fractions 14/892,496/840,322/407 is 2/76239240
Least Common Multiple of 892,840,407 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 892,840,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,840,407) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(892,840,407) x common factors =1 x 4 = 4
LCM(892,840,407) = ( 892 × 840 × 407 ) / 4
LCM(892,840,407) = 304956960 / 4
LCM(892,840,407) = 76239240
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FAQs on GCF of Fractions of 14/892, 496/840, 322/407
1. What is the HCF of 14,496,322?
The HCF of 14,496,322 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 14/892, 496/840, 322/407?
Answer: GCF of Numerators as per given numbers 14/892, 496/840, 322/407 is
GCF of Numerators i.e. for 14,496,322 is 2
LCM of denominators i.e. for 892,840,407 is 76239240.
Thus, GCF of Fractions is 2/76239240.Finally, GCF of Fractions for 14/892, 496/840, 322/407 is 2/76239240.