GCF of 4414/194, 8280/8965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4414/194, 8280/8965 i.e 2/1739210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4414/194, 8280/8965.
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 4414/194,8280/8965?
Given fractions are 4414/194,8280/8965
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 4414/194,8280/8965, numerators are 4414,8280
Denominators are 194,8965
The GCF of 4414,8280 is 2 .
LCM of 194,8965 is 1739210.
The greatest common factor of 4414/194,8280/8965 = [GCF of 4414,8280]/[LCM of 194,8965]= 2/1739210
Therefore, the GCF of 4414/194,8280/8965 is 2/1739210.
To find the highest common factor of 4414,8280, we have to find the factors of both numbers and list the highest common factor.
The factors of 4414 are 1, 2, 2207, 4414
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The HCF of 4414,8280 is 2.
Lets's calculate GCF of 4414,8280
| 2 | 4414, 8280 |
| 2207, 4140 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4414,8280 By Matching Biggest Common Factor Method
Now, list down the factors of 4414
:1,2,2207,4414
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Greatest Common Factor
We found the factors 4414,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 4414,8280 is 2.
Lets's calculate LCM of 194,8965
Given numbers has no common factors except 1. So, there LCM is their product i.e 1739210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1739210
Therefore, the GCF of Fractions 4414/194,8280/8965 is 2/1739210
Least Common Multiple of 194,8965 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 194,8965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,8965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,8965) x common factors =1 x 1 = 1
LCM(194,8965) = ( 194 × 8965 ) / 1
LCM(194,8965) = 1739210 / 1
LCM(194,8965) = 1739210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4414/194, 8280/8965
1. What is the HCF of 4414,8280?
The HCF of 4414,8280 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 4414/194, 8280/8965?
Answer: GCF of Numerators as per given numbers 4414/194, 8280/8965 is
GCF of Numerators i.e. for 4414,8280 is 2
LCM of denominators i.e. for 194,8965 is 1739210.
Thus, GCF of Fractions is 2/1739210.Finally, GCF of Fractions for 4414/194, 8280/8965 is 2/1739210.