GCF of 8342/856, 6909/1847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8342/856, 6909/1847 i.e 1/1581032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8342/856, 6909/1847.
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 8342/856,6909/1847?
Given fractions are 8342/856,6909/1847
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 8342/856,6909/1847, numerators are 8342,6909
Denominators are 856,1847
The GCF of 8342,6909 is 1 .
LCM of 856,1847 is 1581032.
The greatest common factor of 8342/856,6909/1847 = [GCF of 8342,6909]/[LCM of 856,1847]= 1/1581032
Therefore, the GCF of 8342/856,6909/1847 is 1/1581032.
To find the highest common factor of 8342,6909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342
The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
The HCF of 8342,6909 is 1.
Lets's calculate GCF of 8342,6909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8342,6909 By Matching Biggest Common Factor Method
Now, list down the factors of 8342
:1,2,43,86,97,194,4171,8342
Now, list down the factors of 6909
:1,3,7,21,47,49,141,147,329,987,2303,6909
Greatest Common Factor
We found the factors 8342,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 8342,6909 is 1.
Lets's calculate LCM of 856,1847
Given numbers has no common factors except 1. So, there LCM is their product i.e 1581032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1581032
Therefore, the GCF of Fractions 8342/856,6909/1847 is 1/1581032
Least Common Multiple of 856,1847 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 856,1847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,1847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,1847) x common factors =1 x 1 = 1
LCM(856,1847) = ( 856 × 1847 ) / 1
LCM(856,1847) = 1581032 / 1
LCM(856,1847) = 1581032
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FAQs on GCF of Fractions of 8342/856, 6909/1847
1. What is the HCF of 8342,6909?
The HCF of 8342,6909 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 8342/856, 6909/1847?
Answer: GCF of Numerators as per given numbers 8342/856, 6909/1847 is
GCF of Numerators i.e. for 8342,6909 is 1
LCM of denominators i.e. for 856,1847 is 1581032.
Thus, GCF of Fractions is 1/1581032.Finally, GCF of Fractions for 8342/856, 6909/1847 is 1/1581032.