GCF of 8150/342, 7849/6954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8150/342, 7849/6954 i.e 1/20862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8150/342, 7849/6954.
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 8150/342,7849/6954?
Given fractions are 8150/342,7849/6954
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 8150/342,7849/6954, numerators are 8150,7849
Denominators are 342,6954
The GCF of 8150,7849 is 1 .
LCM of 342,6954 is 20862.
The greatest common factor of 8150/342,7849/6954 = [GCF of 8150,7849]/[LCM of 342,6954]= 1/20862
Therefore, the GCF of 8150/342,7849/6954 is 1/20862.
To find the highest common factor of 8150,7849, we have to find the factors of both numbers and list the highest common factor.
The factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150
The factors of 7849 are 1, 47, 167, 7849
The HCF of 8150,7849 is 1.
Lets's calculate GCF of 8150,7849
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8150,7849 By Matching Biggest Common Factor Method
Now, list down the factors of 8150
:1,2,5,10,25,50,163,326,815,1630,4075,8150
Now, list down the factors of 7849
:1,47,167,7849
Greatest Common Factor
We found the factors 8150,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 8150,7849 is 1.
Lets's calculate LCM of 342,6954
| 2 | 342, 6954 |
| 3 | 171, 3477 |
| 19 | 57, 1159 |
| 3, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 61 = 20862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20862
Therefore, the GCF of Fractions 8150/342,7849/6954 is 1/20862
Least Common Multiple of 342,6954 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 342,6954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6954) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6954) x common factors =114 x 1 = 114
LCM(342,6954) = ( 342 × 6954 ) / 114
LCM(342,6954) = 2378268 / 114
LCM(342,6954) = 20862
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FAQs on GCF of Fractions of 8150/342, 7849/6954
1. What is the HCF of 8150,7849?
The HCF of 8150,7849 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 8150/342, 7849/6954?
Answer: GCF of Numerators as per given numbers 8150/342, 7849/6954 is
GCF of Numerators i.e. for 8150,7849 is 1
LCM of denominators i.e. for 342,6954 is 20862.
Thus, GCF of Fractions is 1/20862.Finally, GCF of Fractions for 8150/342, 7849/6954 is 1/20862.