GCF of 803/678, 2741/6761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 803/678, 2741/6761 i.e 1/4583958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/678, 2741/6761.
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 803/678,2741/6761?
Given fractions are 803/678,2741/6761
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 803/678,2741/6761, numerators are 803,2741
Denominators are 678,6761
The GCF of 803,2741 is 1 .
LCM of 678,6761 is 4583958.
The greatest common factor of 803/678,2741/6761 = [GCF of 803,2741]/[LCM of 678,6761]= 1/4583958
Therefore, the GCF of 803/678,2741/6761 is 1/4583958.
To find the highest common factor of 803,2741, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 2741 are 1, 2741
The HCF of 803,2741 is 1.
Lets's calculate GCF of 803,2741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 803,2741 By Matching Biggest Common Factor Method
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 2741
:1,2741
Greatest Common Factor
We found the factors 803,2741 . The biggest common factor number is the GCF number.
So the greatest common factor 803,2741 is 1.
Lets's calculate LCM of 678,6761
Given numbers has no common factors except 1. So, there LCM is their product i.e 4583958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4583958
Therefore, the GCF of Fractions 803/678,2741/6761 is 1/4583958
Least Common Multiple of 678,6761 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 678,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,6761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,6761) x common factors =1 x 1 = 1
LCM(678,6761) = ( 678 × 6761 ) / 1
LCM(678,6761) = 4583958 / 1
LCM(678,6761) = 4583958
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FAQs on GCF of Fractions of 803/678, 2741/6761
1. What is the HCF of 803,2741?
The HCF of 803,2741 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 803/678, 2741/6761?
Answer: GCF of Numerators as per given numbers 803/678, 2741/6761 is
GCF of Numerators i.e. for 803,2741 is 1
LCM of denominators i.e. for 678,6761 is 4583958.
Thus, GCF of Fractions is 1/4583958.Finally, GCF of Fractions for 803/678, 2741/6761 is 1/4583958.