GCF of 1094/414, 6883/9685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1094/414, 6883/9685 i.e 1/4009590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1094/414, 6883/9685.
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 1094/414,6883/9685?
Given fractions are 1094/414,6883/9685
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 1094/414,6883/9685, numerators are 1094,6883
Denominators are 414,9685
The GCF of 1094,6883 is 1 .
LCM of 414,9685 is 4009590.
The greatest common factor of 1094/414,6883/9685 = [GCF of 1094,6883]/[LCM of 414,9685]= 1/4009590
Therefore, the GCF of 1094/414,6883/9685 is 1/4009590.
To find the highest common factor of 1094,6883, we have to find the factors of both numbers and list the highest common factor.
The factors of 1094 are 1, 2, 547, 1094
The factors of 6883 are 1, 6883
The HCF of 1094,6883 is 1.
Lets's calculate GCF of 1094,6883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1094,6883 By Matching Biggest Common Factor Method
Now, list down the factors of 1094
:1,2,547,1094
Now, list down the factors of 6883
:1,6883
Greatest Common Factor
We found the factors 1094,6883 . The biggest common factor number is the GCF number.
So the greatest common factor 1094,6883 is 1.
Lets's calculate LCM of 414,9685
Given numbers has no common factors except 1. So, there LCM is their product i.e 4009590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4009590
Therefore, the GCF of Fractions 1094/414,6883/9685 is 1/4009590
Least Common Multiple of 414,9685 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 414,9685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,9685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,9685) x common factors =1 x 1 = 1
LCM(414,9685) = ( 414 × 9685 ) / 1
LCM(414,9685) = 4009590 / 1
LCM(414,9685) = 4009590
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FAQs on GCF of Fractions of 1094/414, 6883/9685
1. What is the HCF of 1094,6883?
The HCF of 1094,6883 is 1
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 1094/414, 6883/9685?
Answer: GCF of Numerators as per given numbers 1094/414, 6883/9685 is
GCF of Numerators i.e. for 1094,6883 is 1
LCM of denominators i.e. for 414,9685 is 4009590.
Thus, GCF of Fractions is 1/4009590.Finally, GCF of Fractions for 1094/414, 6883/9685 is 1/4009590.