GCF of 14/90, 210/88, 874/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/90, 210/88, 874/449 i.e 2/1778040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/90, 210/88, 874/449.
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 14/90,210/88,874/449?
Given fractions are 14/90,210/88,874/449
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 14/90,210/88,874/449, numerators are 14,210,874
Denominators are 90,88,449
The GCF of 14,210,874 is 2 .
LCM of 90,88,449 is 1778040.
The greatest common factor of 14/90,210/88,874/449 = [GCF of 14,210,874]/[LCM of 90,88,449]= 2/1778040
Therefore, the GCF of 14/90,210/88,874/449 is 2/1778040.
To find the highest common factor of 14,210,874, 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 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 14,210,874 is 2.
Lets's calculate GCF of 14,210,874
| 2 | 14, 210, 874 |
| 7, 105, 437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,210,874 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 14,210,874 . The biggest common factor number is the GCF number.
So the greatest common factor 14,210,874 is 2.
Lets's calculate LCM of 90,88,449
| 2 | 90, 88, 449 |
| 45, 44, 449 |
∴ So the LCM of the given numbers is 2 x 45 x 44 x 449 = 1778040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1778040
Therefore, the GCF of Fractions 14/90,210/88,874/449 is 2/1778040
Least Common Multiple of 90,88,449 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 90,88,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,88,449) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,88,449) x common factors =1 x 2 = 2
LCM(90,88,449) = ( 90 × 88 × 449 ) / 2
LCM(90,88,449) = 3556080 / 2
LCM(90,88,449) = 1778040
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FAQs on GCF of Fractions of 14/90, 210/88, 874/449
1. What is the HCF of 14,210,874?
The HCF of 14,210,874 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 14/90, 210/88, 874/449?
Answer: GCF of Numerators as per given numbers 14/90, 210/88, 874/449 is
GCF of Numerators i.e. for 14,210,874 is 2
LCM of denominators i.e. for 90,88,449 is 1778040.
Thus, GCF of Fractions is 2/1778040.Finally, GCF of Fractions for 14/90, 210/88, 874/449 is 2/1778040.