GCF of 3814/342, 1354/7897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3814/342, 1354/7897 i.e 2/2700774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3814/342, 1354/7897.
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 3814/342,1354/7897?
Given fractions are 3814/342,1354/7897
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 3814/342,1354/7897, numerators are 3814,1354
Denominators are 342,7897
The GCF of 3814,1354 is 2 .
LCM of 342,7897 is 2700774.
The greatest common factor of 3814/342,1354/7897 = [GCF of 3814,1354]/[LCM of 342,7897]= 2/2700774
Therefore, the GCF of 3814/342,1354/7897 is 2/2700774.
To find the highest common factor of 3814,1354, we have to find the factors of both numbers and list the highest common factor.
The factors of 3814 are 1, 2, 1907, 3814
The factors of 1354 are 1, 2, 677, 1354
The HCF of 3814,1354 is 2.
Lets's calculate GCF of 3814,1354
| 2 | 3814, 1354 |
| 1907, 677 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3814,1354 By Matching Biggest Common Factor Method
Now, list down the factors of 3814
:1,2,1907,3814
Now, list down the factors of 1354
:1,2,677,1354
Greatest Common Factor
We found the factors 3814,1354 . The biggest common factor number is the GCF number.
So the greatest common factor 3814,1354 is 2.
Lets's calculate LCM of 342,7897
Given numbers has no common factors except 1. So, there LCM is their product i.e 2700774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700774
Therefore, the GCF of Fractions 3814/342,1354/7897 is 2/2700774
Least Common Multiple of 342,7897 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 342,7897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,7897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,7897) x common factors =1 x 1 = 1
LCM(342,7897) = ( 342 × 7897 ) / 1
LCM(342,7897) = 2700774 / 1
LCM(342,7897) = 2700774
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FAQs on GCF of Fractions of 3814/342, 1354/7897
1. What is the HCF of 3814,1354?
The HCF of 3814,1354 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 3814/342, 1354/7897?
Answer: GCF of Numerators as per given numbers 3814/342, 1354/7897 is
GCF of Numerators i.e. for 3814,1354 is 2
LCM of denominators i.e. for 342,7897 is 2700774.
Thus, GCF of Fractions is 2/2700774.Finally, GCF of Fractions for 3814/342, 1354/7897 is 2/2700774.