GCF of 2078/342, 8116/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2078/342, 8116/841 i.e 2/287622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2078/342, 8116/841.
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 2078/342,8116/841?
Given fractions are 2078/342,8116/841
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 2078/342,8116/841, numerators are 2078,8116
Denominators are 342,841
The GCF of 2078,8116 is 2 .
LCM of 342,841 is 287622.
The greatest common factor of 2078/342,8116/841 = [GCF of 2078,8116]/[LCM of 342,841]= 2/287622
Therefore, the GCF of 2078/342,8116/841 is 2/287622.
To find the highest common factor of 2078,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 2078 are 1, 2, 1039, 2078
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 2078,8116 is 2.
Lets's calculate GCF of 2078,8116
| 2 | 2078, 8116 |
| 1039, 4058 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2078,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 2078
:1,2,1039,2078
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 2078,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 2078,8116 is 2.
Lets's calculate LCM of 342,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 287622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287622
Therefore, the GCF of Fractions 2078/342,8116/841 is 2/287622
Least Common Multiple of 342,841 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 342,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,841) x common factors =1 x 1 = 1
LCM(342,841) = ( 342 × 841 ) / 1
LCM(342,841) = 287622 / 1
LCM(342,841) = 287622
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FAQs on GCF of Fractions of 2078/342, 8116/841
1. What is the HCF of 2078,8116?
The HCF of 2078,8116 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 2078/342, 8116/841?
Answer: GCF of Numerators as per given numbers 2078/342, 8116/841 is
GCF of Numerators i.e. for 2078,8116 is 2
LCM of denominators i.e. for 342,841 is 287622.
Thus, GCF of Fractions is 2/287622.Finally, GCF of Fractions for 2078/342, 8116/841 is 2/287622.