GCF of 2954/172, 3708/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2954/172, 3708/416 i.e 2/17888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2954/172, 3708/416.
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 2954/172,3708/416?
Given fractions are 2954/172,3708/416
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 2954/172,3708/416, numerators are 2954,3708
Denominators are 172,416
The GCF of 2954,3708 is 2 .
LCM of 172,416 is 17888.
The greatest common factor of 2954/172,3708/416 = [GCF of 2954,3708]/[LCM of 172,416]= 2/17888
Therefore, the GCF of 2954/172,3708/416 is 2/17888.
To find the highest common factor of 2954,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 2954,3708 is 2.
Lets's calculate GCF of 2954,3708
| 2 | 2954, 3708 |
| 1477, 1854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2954,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 2954
:1,2,7,14,211,422,1477,2954
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 2954,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 2954,3708 is 2.
Lets's calculate LCM of 172,416
| 2 | 172, 416 |
| 2 | 86, 208 |
| 43, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 104 = 17888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17888
Therefore, the GCF of Fractions 2954/172,3708/416 is 2/17888
Least Common Multiple of 172,416 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 172,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,416) x common factors =4 x 1 = 4
LCM(172,416) = ( 172 × 416 ) / 4
LCM(172,416) = 71552 / 4
LCM(172,416) = 17888
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FAQs on GCF of Fractions of 2954/172, 3708/416
1. What is the HCF of 2954,3708?
The HCF of 2954,3708 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 2954/172, 3708/416?
Answer: GCF of Numerators as per given numbers 2954/172, 3708/416 is
GCF of Numerators i.e. for 2954,3708 is 2
LCM of denominators i.e. for 172,416 is 17888.
Thus, GCF of Fractions is 2/17888.Finally, GCF of Fractions for 2954/172, 3708/416 is 2/17888.