GCF of 5956/465, 7164/8814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5956/465, 7164/8814 i.e 4/1366170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5956/465, 7164/8814.
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 5956/465,7164/8814?
Given fractions are 5956/465,7164/8814
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 5956/465,7164/8814, numerators are 5956,7164
Denominators are 465,8814
The GCF of 5956,7164 is 4 .
LCM of 465,8814 is 1366170.
The greatest common factor of 5956/465,7164/8814 = [GCF of 5956,7164]/[LCM of 465,8814]= 4/1366170
Therefore, the GCF of 5956/465,7164/8814 is 4/1366170.
To find the highest common factor of 5956,7164, we have to find the factors of both numbers and list the highest common factor.
The factors of 5956 are 1, 2, 4, 1489, 2978, 5956
The factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The HCF of 5956,7164 is 4.
Lets's calculate GCF of 5956,7164
| 2 | 5956, 7164 |
| 2 | 2978, 3582 |
| 1489, 1791 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5956,7164 By Matching Biggest Common Factor Method
Now, list down the factors of 5956
:1,2,4,1489,2978,5956
Now, list down the factors of 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Greatest Common Factor
We found the factors 5956,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 5956,7164 is 4.
Lets's calculate LCM of 465,8814
| 3 | 465, 8814 |
| 155, 2938 |
∴ So the LCM of the given numbers is 3 x 155 x 2938 = 1366170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1366170
Therefore, the GCF of Fractions 5956/465,7164/8814 is 4/1366170
Least Common Multiple of 465,8814 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 465,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,8814) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,8814) x common factors =3 x 1 = 3
LCM(465,8814) = ( 465 × 8814 ) / 3
LCM(465,8814) = 4098510 / 3
LCM(465,8814) = 1366170
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FAQs on GCF of Fractions of 5956/465, 7164/8814
1. What is the HCF of 5956,7164?
The HCF of 5956,7164 is 4
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 5956/465, 7164/8814?
Answer: GCF of Numerators as per given numbers 5956/465, 7164/8814 is
GCF of Numerators i.e. for 5956,7164 is 4
LCM of denominators i.e. for 465,8814 is 1366170.
Thus, GCF of Fractions is 4/1366170.Finally, GCF of Fractions for 5956/465, 7164/8814 is 4/1366170.