GCF of 8674/914, 5918/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8674/914, 5918/360 i.e 2/164520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8674/914, 5918/360.
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 8674/914,5918/360?
Given fractions are 8674/914,5918/360
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 8674/914,5918/360, numerators are 8674,5918
Denominators are 914,360
The GCF of 8674,5918 is 2 .
LCM of 914,360 is 164520.
The greatest common factor of 8674/914,5918/360 = [GCF of 8674,5918]/[LCM of 914,360]= 2/164520
Therefore, the GCF of 8674/914,5918/360 is 2/164520.
To find the highest common factor of 8674,5918, we have to find the factors of both numbers and list the highest common factor.
The factors of 8674 are 1, 2, 4337, 8674
The factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918
The HCF of 8674,5918 is 2.
Lets's calculate GCF of 8674,5918
| 2 | 8674, 5918 |
| 4337, 2959 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8674,5918 By Matching Biggest Common Factor Method
Now, list down the factors of 8674
:1,2,4337,8674
Now, list down the factors of 5918
:1,2,11,22,269,538,2959,5918
Greatest Common Factor
We found the factors 8674,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 8674,5918 is 2.
Lets's calculate LCM of 914,360
| 2 | 914, 360 |
| 457, 180 |
∴ So the LCM of the given numbers is 2 x 457 x 180 = 164520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164520
Therefore, the GCF of Fractions 8674/914,5918/360 is 2/164520
Least Common Multiple of 914,360 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 914,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,360) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,360) x common factors =2 x 1 = 2
LCM(914,360) = ( 914 × 360 ) / 2
LCM(914,360) = 329040 / 2
LCM(914,360) = 164520
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FAQs on GCF of Fractions of 8674/914, 5918/360
1. What is the HCF of 8674,5918?
The HCF of 8674,5918 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 8674/914, 5918/360?
Answer: GCF of Numerators as per given numbers 8674/914, 5918/360 is
GCF of Numerators i.e. for 8674,5918 is 2
LCM of denominators i.e. for 914,360 is 164520.
Thus, GCF of Fractions is 2/164520.Finally, GCF of Fractions for 8674/914, 5918/360 is 2/164520.