GCF of 3898/811, 7162/1470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3898/811, 7162/1470 i.e 2/1192170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3898/811, 7162/1470.
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 3898/811,7162/1470?
Given fractions are 3898/811,7162/1470
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 3898/811,7162/1470, numerators are 3898,7162
Denominators are 811,1470
The GCF of 3898,7162 is 2 .
LCM of 811,1470 is 1192170.
The greatest common factor of 3898/811,7162/1470 = [GCF of 3898,7162]/[LCM of 811,1470]= 2/1192170
Therefore, the GCF of 3898/811,7162/1470 is 2/1192170.
To find the highest common factor of 3898,7162, we have to find the factors of both numbers and list the highest common factor.
The factors of 3898 are 1, 2, 1949, 3898
The factors of 7162 are 1, 2, 3581, 7162
The HCF of 3898,7162 is 2.
Lets's calculate GCF of 3898,7162
| 2 | 3898, 7162 |
| 1949, 3581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3898,7162 By Matching Biggest Common Factor Method
Now, list down the factors of 3898
:1,2,1949,3898
Now, list down the factors of 7162
:1,2,3581,7162
Greatest Common Factor
We found the factors 3898,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 3898,7162 is 2.
Lets's calculate LCM of 811,1470
Given numbers has no common factors except 1. So, there LCM is their product i.e 1192170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1192170
Therefore, the GCF of Fractions 3898/811,7162/1470 is 2/1192170
Least Common Multiple of 811,1470 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 811,1470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,1470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,1470) x common factors =1 x 1 = 1
LCM(811,1470) = ( 811 × 1470 ) / 1
LCM(811,1470) = 1192170 / 1
LCM(811,1470) = 1192170
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3898/811, 7162/1470
1. What is the HCF of 3898,7162?
The HCF of 3898,7162 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 3898/811, 7162/1470?
Answer: GCF of Numerators as per given numbers 3898/811, 7162/1470 is
GCF of Numerators i.e. for 3898,7162 is 2
LCM of denominators i.e. for 811,1470 is 1192170.
Thus, GCF of Fractions is 2/1192170.Finally, GCF of Fractions for 3898/811, 7162/1470 is 2/1192170.