GCF of 8856/120, 1812/3951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8856/120, 1812/3951 i.e 12/158040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8856/120, 1812/3951.
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 8856/120,1812/3951?
Given fractions are 8856/120,1812/3951
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 8856/120,1812/3951, numerators are 8856,1812
Denominators are 120,3951
The GCF of 8856,1812 is 12 .
LCM of 120,3951 is 158040.
The greatest common factor of 8856/120,1812/3951 = [GCF of 8856,1812]/[LCM of 120,3951]= 12/158040
Therefore, the GCF of 8856/120,1812/3951 is 12/158040.
To find the highest common factor of 8856,1812, we have to find the factors of both numbers and list the highest common factor.
The factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The HCF of 8856,1812 is 12.
Lets's calculate GCF of 8856,1812
| 2 | 8856, 1812 |
| 2 | 4428, 906 |
| 3 | 2214, 453 |
| 738, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8856,1812 By Matching Biggest Common Factor Method
Now, list down the factors of 8856
:1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors 8856,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 8856,1812 is 12.
Lets's calculate LCM of 120,3951
| 3 | 120, 3951 |
| 40, 1317 |
∴ So the LCM of the given numbers is 3 x 40 x 1317 = 158040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/158040
Therefore, the GCF of Fractions 8856/120,1812/3951 is 12/158040
Least Common Multiple of 120,3951 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 120,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,3951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(120,3951) x common factors =3 x 1 = 3
LCM(120,3951) = ( 120 × 3951 ) / 3
LCM(120,3951) = 474120 / 3
LCM(120,3951) = 158040
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FAQs on GCF of Fractions of 8856/120, 1812/3951
1. What is the HCF of 8856,1812?
The HCF of 8856,1812 is 12
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 8856/120, 1812/3951?
Answer: GCF of Numerators as per given numbers 8856/120, 1812/3951 is
GCF of Numerators i.e. for 8856,1812 is 12
LCM of denominators i.e. for 120,3951 is 158040.
Thus, GCF of Fractions is 12/158040.Finally, GCF of Fractions for 8856/120, 1812/3951 is 12/158040.