GCF of 3158/180, 7812/2042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3158/180, 7812/2042 i.e 2/183780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3158/180, 7812/2042.
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 3158/180,7812/2042?
Given fractions are 3158/180,7812/2042
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 3158/180,7812/2042, numerators are 3158,7812
Denominators are 180,2042
The GCF of 3158,7812 is 2 .
LCM of 180,2042 is 183780.
The greatest common factor of 3158/180,7812/2042 = [GCF of 3158,7812]/[LCM of 180,2042]= 2/183780
Therefore, the GCF of 3158/180,7812/2042 is 2/183780.
To find the highest common factor of 3158,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 3158 are 1, 2, 1579, 3158
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 3158,7812 is 2.
Lets's calculate GCF of 3158,7812
| 2 | 3158, 7812 |
| 1579, 3906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3158,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 3158
:1,2,1579,3158
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 3158,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 3158,7812 is 2.
Lets's calculate LCM of 180,2042
| 2 | 180, 2042 |
| 90, 1021 |
∴ So the LCM of the given numbers is 2 x 90 x 1021 = 183780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/183780
Therefore, the GCF of Fractions 3158/180,7812/2042 is 2/183780
Least Common Multiple of 180,2042 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 180,2042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,2042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,2042) x common factors =2 x 1 = 2
LCM(180,2042) = ( 180 × 2042 ) / 2
LCM(180,2042) = 367560 / 2
LCM(180,2042) = 183780
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FAQs on GCF of Fractions of 3158/180, 7812/2042
1. What is the HCF of 3158,7812?
The HCF of 3158,7812 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 3158/180, 7812/2042?
Answer: GCF of Numerators as per given numbers 3158/180, 7812/2042 is
GCF of Numerators i.e. for 3158,7812 is 2
LCM of denominators i.e. for 180,2042 is 183780.
Thus, GCF of Fractions is 2/183780.Finally, GCF of Fractions for 3158/180, 7812/2042 is 2/183780.