GCF of 6845/774, 3896/8893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6845/774, 3896/8893 i.e 1/6883182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6845/774, 3896/8893.
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 6845/774,3896/8893?
Given fractions are 6845/774,3896/8893
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 6845/774,3896/8893, numerators are 6845,3896
Denominators are 774,8893
The GCF of 6845,3896 is 1 .
LCM of 774,8893 is 6883182.
The greatest common factor of 6845/774,3896/8893 = [GCF of 6845,3896]/[LCM of 774,8893]= 1/6883182
Therefore, the GCF of 6845/774,3896/8893 is 1/6883182.
To find the highest common factor of 6845,3896, we have to find the factors of both numbers and list the highest common factor.
The factors of 6845 are 1, 5, 37, 185, 1369, 6845
The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896
The HCF of 6845,3896 is 1.
Lets's calculate GCF of 6845,3896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6845,3896 By Matching Biggest Common Factor Method
Now, list down the factors of 6845
:1,5,37,185,1369,6845
Now, list down the factors of 3896
:1,2,4,8,487,974,1948,3896
Greatest Common Factor
We found the factors 6845,3896 . The biggest common factor number is the GCF number.
So the greatest common factor 6845,3896 is 1.
Lets's calculate LCM of 774,8893
Given numbers has no common factors except 1. So, there LCM is their product i.e 6883182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6883182
Therefore, the GCF of Fractions 6845/774,3896/8893 is 1/6883182
Least Common Multiple of 774,8893 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 774,8893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8893) x common factors =1 x 1 = 1
LCM(774,8893) = ( 774 × 8893 ) / 1
LCM(774,8893) = 6883182 / 1
LCM(774,8893) = 6883182
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FAQs on GCF of Fractions of 6845/774, 3896/8893
1. What is the HCF of 6845,3896?
The HCF of 6845,3896 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 6845/774, 3896/8893?
Answer: GCF of Numerators as per given numbers 6845/774, 3896/8893 is
GCF of Numerators i.e. for 6845,3896 is 1
LCM of denominators i.e. for 774,8893 is 6883182.
Thus, GCF of Fractions is 1/6883182.Finally, GCF of Fractions for 6845/774, 3896/8893 is 1/6883182.