GCF of 4112/347, 3994/8910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4112/347, 3994/8910 i.e 2/3091770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4112/347, 3994/8910.
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 4112/347,3994/8910?
Given fractions are 4112/347,3994/8910
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 4112/347,3994/8910, numerators are 4112,3994
Denominators are 347,8910
The GCF of 4112,3994 is 2 .
LCM of 347,8910 is 3091770.
The greatest common factor of 4112/347,3994/8910 = [GCF of 4112,3994]/[LCM of 347,8910]= 2/3091770
Therefore, the GCF of 4112/347,3994/8910 is 2/3091770.
To find the highest common factor of 4112,3994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The factors of 3994 are 1, 2, 1997, 3994
The HCF of 4112,3994 is 2.
Lets's calculate GCF of 4112,3994
| 2 | 4112, 3994 |
| 2056, 1997 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4112,3994 By Matching Biggest Common Factor Method
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Now, list down the factors of 3994
:1,2,1997,3994
Greatest Common Factor
We found the factors 4112,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 4112,3994 is 2.
Lets's calculate LCM of 347,8910
Given numbers has no common factors except 1. So, there LCM is their product i.e 3091770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3091770
Therefore, the GCF of Fractions 4112/347,3994/8910 is 2/3091770
Least Common Multiple of 347,8910 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 347,8910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,8910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,8910) x common factors =1 x 1 = 1
LCM(347,8910) = ( 347 × 8910 ) / 1
LCM(347,8910) = 3091770 / 1
LCM(347,8910) = 3091770
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FAQs on GCF of Fractions of 4112/347, 3994/8910
1. What is the HCF of 4112,3994?
The HCF of 4112,3994 is 2
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 4112/347, 3994/8910?
Answer: GCF of Numerators as per given numbers 4112/347, 3994/8910 is
GCF of Numerators i.e. for 4112,3994 is 2
LCM of denominators i.e. for 347,8910 is 3091770.
Thus, GCF of Fractions is 2/3091770.Finally, GCF of Fractions for 4112/347, 3994/8910 is 2/3091770.