GCF of 3397/114, 6862/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3397/114, 6862/809 i.e 1/92226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3397/114, 6862/809.
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 3397/114,6862/809?
Given fractions are 3397/114,6862/809
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 3397/114,6862/809, numerators are 3397,6862
Denominators are 114,809
The GCF of 3397,6862 is 1 .
LCM of 114,809 is 92226.
The greatest common factor of 3397/114,6862/809 = [GCF of 3397,6862]/[LCM of 114,809]= 1/92226
Therefore, the GCF of 3397/114,6862/809 is 1/92226.
To find the highest common factor of 3397,6862, we have to find the factors of both numbers and list the highest common factor.
The factors of 3397 are 1, 43, 79, 3397
The factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The HCF of 3397,6862 is 1.
Lets's calculate GCF of 3397,6862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3397,6862 By Matching Biggest Common Factor Method
Now, list down the factors of 3397
:1,43,79,3397
Now, list down the factors of 6862
:1,2,47,73,94,146,3431,6862
Greatest Common Factor
We found the factors 3397,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 3397,6862 is 1.
Lets's calculate LCM of 114,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 92226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92226
Therefore, the GCF of Fractions 3397/114,6862/809 is 1/92226
Least Common Multiple of 114,809 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 114,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,809) x common factors =1 x 1 = 1
LCM(114,809) = ( 114 × 809 ) / 1
LCM(114,809) = 92226 / 1
LCM(114,809) = 92226
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FAQs on GCF of Fractions of 3397/114, 6862/809
1. What is the HCF of 3397,6862?
The HCF of 3397,6862 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 3397/114, 6862/809?
Answer: GCF of Numerators as per given numbers 3397/114, 6862/809 is
GCF of Numerators i.e. for 3397,6862 is 1
LCM of denominators i.e. for 114,809 is 92226.
Thus, GCF of Fractions is 1/92226.Finally, GCF of Fractions for 3397/114, 6862/809 is 1/92226.