GCF of 9879/206, 5314/7678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9879/206, 5314/7678 i.e 1/790834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9879/206, 5314/7678.
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 9879/206,5314/7678?
Given fractions are 9879/206,5314/7678
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 9879/206,5314/7678, numerators are 9879,5314
Denominators are 206,7678
The GCF of 9879,5314 is 1 .
LCM of 206,7678 is 790834.
The greatest common factor of 9879/206,5314/7678 = [GCF of 9879,5314]/[LCM of 206,7678]= 1/790834
Therefore, the GCF of 9879/206,5314/7678 is 1/790834.
To find the highest common factor of 9879,5314, we have to find the factors of both numbers and list the highest common factor.
The factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879
The factors of 5314 are 1, 2, 2657, 5314
The HCF of 9879,5314 is 1.
Lets's calculate GCF of 9879,5314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9879,5314 By Matching Biggest Common Factor Method
Now, list down the factors of 9879
:1,3,37,89,111,267,3293,9879
Now, list down the factors of 5314
:1,2,2657,5314
Greatest Common Factor
We found the factors 9879,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 9879,5314 is 1.
Lets's calculate LCM of 206,7678
| 2 | 206, 7678 |
| 103, 3839 |
∴ So the LCM of the given numbers is 2 x 103 x 3839 = 790834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790834
Therefore, the GCF of Fractions 9879/206,5314/7678 is 1/790834
Least Common Multiple of 206,7678 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 206,7678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,7678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,7678) x common factors =2 x 1 = 2
LCM(206,7678) = ( 206 × 7678 ) / 2
LCM(206,7678) = 1581668 / 2
LCM(206,7678) = 790834
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FAQs on GCF of Fractions of 9879/206, 5314/7678
1. What is the HCF of 9879,5314?
The HCF of 9879,5314 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 9879/206, 5314/7678?
Answer: GCF of Numerators as per given numbers 9879/206, 5314/7678 is
GCF of Numerators i.e. for 9879,5314 is 1
LCM of denominators i.e. for 206,7678 is 790834.
Thus, GCF of Fractions is 1/790834.Finally, GCF of Fractions for 9879/206, 5314/7678 is 1/790834.