GCF of 2877/838, 3617/8421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2877/838, 3617/8421 i.e 1/7056798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2877/838, 3617/8421.
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 2877/838,3617/8421?
Given fractions are 2877/838,3617/8421
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 2877/838,3617/8421, numerators are 2877,3617
Denominators are 838,8421
The GCF of 2877,3617 is 1 .
LCM of 838,8421 is 7056798.
The greatest common factor of 2877/838,3617/8421 = [GCF of 2877,3617]/[LCM of 838,8421]= 1/7056798
Therefore, the GCF of 2877/838,3617/8421 is 1/7056798.
To find the highest common factor of 2877,3617, we have to find the factors of both numbers and list the highest common factor.
The factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877
The factors of 3617 are 1, 3617
The HCF of 2877,3617 is 1.
Lets's calculate GCF of 2877,3617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2877,3617 By Matching Biggest Common Factor Method
Now, list down the factors of 2877
:1,3,7,21,137,411,959,2877
Now, list down the factors of 3617
:1,3617
Greatest Common Factor
We found the factors 2877,3617 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,3617 is 1.
Lets's calculate LCM of 838,8421
Given numbers has no common factors except 1. So, there LCM is their product i.e 7056798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7056798
Therefore, the GCF of Fractions 2877/838,3617/8421 is 1/7056798
Least Common Multiple of 838,8421 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 838,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,8421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,8421) x common factors =1 x 1 = 1
LCM(838,8421) = ( 838 × 8421 ) / 1
LCM(838,8421) = 7056798 / 1
LCM(838,8421) = 7056798
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FAQs on GCF of Fractions of 2877/838, 3617/8421
1. What is the HCF of 2877,3617?
The HCF of 2877,3617 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 2877/838, 3617/8421?
Answer: GCF of Numerators as per given numbers 2877/838, 3617/8421 is
GCF of Numerators i.e. for 2877,3617 is 1
LCM of denominators i.e. for 838,8421 is 7056798.
Thus, GCF of Fractions is 1/7056798.Finally, GCF of Fractions for 2877/838, 3617/8421 is 1/7056798.