GCF of 5156/228, 1929/8031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5156/228, 1929/8031 i.e 1/610356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5156/228, 1929/8031.
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 5156/228,1929/8031?
Given fractions are 5156/228,1929/8031
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 5156/228,1929/8031, numerators are 5156,1929
Denominators are 228,8031
The GCF of 5156,1929 is 1 .
LCM of 228,8031 is 610356.
The greatest common factor of 5156/228,1929/8031 = [GCF of 5156,1929]/[LCM of 228,8031]= 1/610356
Therefore, the GCF of 5156/228,1929/8031 is 1/610356.
To find the highest common factor of 5156,1929, we have to find the factors of both numbers and list the highest common factor.
The factors of 5156 are 1, 2, 4, 1289, 2578, 5156
The factors of 1929 are 1, 3, 643, 1929
The HCF of 5156,1929 is 1.
Lets's calculate GCF of 5156,1929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5156,1929 By Matching Biggest Common Factor Method
Now, list down the factors of 5156
:1,2,4,1289,2578,5156
Now, list down the factors of 1929
:1,3,643,1929
Greatest Common Factor
We found the factors 5156,1929 . The biggest common factor number is the GCF number.
So the greatest common factor 5156,1929 is 1.
Lets's calculate LCM of 228,8031
| 3 | 228, 8031 |
| 76, 2677 |
∴ So the LCM of the given numbers is 3 x 76 x 2677 = 610356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610356
Therefore, the GCF of Fractions 5156/228,1929/8031 is 1/610356
Least Common Multiple of 228,8031 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 228,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8031) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8031) x common factors =3 x 1 = 3
LCM(228,8031) = ( 228 × 8031 ) / 3
LCM(228,8031) = 1831068 / 3
LCM(228,8031) = 610356
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FAQs on GCF of Fractions of 5156/228, 1929/8031
1. What is the HCF of 5156,1929?
The HCF of 5156,1929 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 5156/228, 1929/8031?
Answer: GCF of Numerators as per given numbers 5156/228, 1929/8031 is
GCF of Numerators i.e. for 5156,1929 is 1
LCM of denominators i.e. for 228,8031 is 610356.
Thus, GCF of Fractions is 1/610356.Finally, GCF of Fractions for 5156/228, 1929/8031 is 1/610356.