GCF of 9781/214, 3055/6838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9781/214, 3055/6838 i.e 1/731666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9781/214, 3055/6838.
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 9781/214,3055/6838?
Given fractions are 9781/214,3055/6838
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 9781/214,3055/6838, numerators are 9781,3055
Denominators are 214,6838
The GCF of 9781,3055 is 1 .
LCM of 214,6838 is 731666.
The greatest common factor of 9781/214,3055/6838 = [GCF of 9781,3055]/[LCM of 214,6838]= 1/731666
Therefore, the GCF of 9781/214,3055/6838 is 1/731666.
To find the highest common factor of 9781,3055, we have to find the factors of both numbers and list the highest common factor.
The factors of 9781 are 1, 9781
The factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055
The HCF of 9781,3055 is 1.
Lets's calculate GCF of 9781,3055
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9781,3055 By Matching Biggest Common Factor Method
Now, list down the factors of 9781
:1,9781
Now, list down the factors of 3055
:1,5,13,47,65,235,611,3055
Greatest Common Factor
We found the factors 9781,3055 . The biggest common factor number is the GCF number.
So the greatest common factor 9781,3055 is 1.
Lets's calculate LCM of 214,6838
| 2 | 214, 6838 |
| 107, 3419 |
∴ So the LCM of the given numbers is 2 x 107 x 3419 = 731666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/731666
Therefore, the GCF of Fractions 9781/214,3055/6838 is 1/731666
Least Common Multiple of 214,6838 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 214,6838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,6838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,6838) x common factors =2 x 1 = 2
LCM(214,6838) = ( 214 × 6838 ) / 2
LCM(214,6838) = 1463332 / 2
LCM(214,6838) = 731666
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FAQs on GCF of Fractions of 9781/214, 3055/6838
1. What is the HCF of 9781,3055?
The HCF of 9781,3055 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 9781/214, 3055/6838?
Answer: GCF of Numerators as per given numbers 9781/214, 3055/6838 is
GCF of Numerators i.e. for 9781,3055 is 1
LCM of denominators i.e. for 214,6838 is 731666.
Thus, GCF of Fractions is 1/731666.Finally, GCF of Fractions for 9781/214, 3055/6838 is 1/731666.