GCF of 1881/624, 3416/2712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1881/624, 3416/2712 i.e 1/70512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1881/624, 3416/2712.
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 1881/624,3416/2712?
Given fractions are 1881/624,3416/2712
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 1881/624,3416/2712, numerators are 1881,3416
Denominators are 624,2712
The GCF of 1881,3416 is 1 .
LCM of 624,2712 is 70512.
The greatest common factor of 1881/624,3416/2712 = [GCF of 1881,3416]/[LCM of 624,2712]= 1/70512
Therefore, the GCF of 1881/624,3416/2712 is 1/70512.
To find the highest common factor of 1881,3416, we have to find the factors of both numbers and list the highest common factor.
The factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The HCF of 1881,3416 is 1.
Lets's calculate GCF of 1881,3416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1881,3416 By Matching Biggest Common Factor Method
Now, list down the factors of 1881
:1,3,9,11,19,33,57,99,171,209,627,1881
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 1881,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 1881,3416 is 1.
Lets's calculate LCM of 624,2712
| 2 | 624, 2712 |
| 2 | 312, 1356 |
| 2 | 156, 678 |
| 3 | 78, 339 |
| 26, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 113 = 70512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70512
Therefore, the GCF of Fractions 1881/624,3416/2712 is 1/70512
Least Common Multiple of 624,2712 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 624,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2712) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2712) x common factors =24 x 1 = 24
LCM(624,2712) = ( 624 × 2712 ) / 24
LCM(624,2712) = 1692288 / 24
LCM(624,2712) = 70512
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FAQs on GCF of Fractions of 1881/624, 3416/2712
1. What is the HCF of 1881,3416?
The HCF of 1881,3416 is 1
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 1881/624, 3416/2712?
Answer: GCF of Numerators as per given numbers 1881/624, 3416/2712 is
GCF of Numerators i.e. for 1881,3416 is 1
LCM of denominators i.e. for 624,2712 is 70512.
Thus, GCF of Fractions is 1/70512.Finally, GCF of Fractions for 1881/624, 3416/2712 is 1/70512.