GCF of 2877/424, 3402/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2877/424, 3402/114 i.e 21/24168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2877/424, 3402/114.
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 2877/424,3402/114?
Given fractions are 2877/424,3402/114
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 2877/424,3402/114, numerators are 2877,3402
Denominators are 424,114
The GCF of 2877,3402 is 21 .
LCM of 424,114 is 24168.
The greatest common factor of 2877/424,3402/114 = [GCF of 2877,3402]/[LCM of 424,114]= 21/24168
Therefore, the GCF of 2877/424,3402/114 is 21/24168.
To find the highest common factor of 2877,3402, 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 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402
The HCF of 2877,3402 is 21.
Lets's calculate GCF of 2877,3402
| 3 | 2877, 3402 |
| 7 | 959, 1134 |
| 137, 162 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2877,3402 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 3402
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402
Greatest Common Factor
We found the factors 2877,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,3402 is 21.
Lets's calculate LCM of 424,114
| 2 | 424, 114 |
| 212, 57 |
∴ So the LCM of the given numbers is 2 x 212 x 57 = 24168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/24168
Therefore, the GCF of Fractions 2877/424,3402/114 is 21/24168
Least Common Multiple of 424,114 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 424,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,114) x common factors =2 x 1 = 2
LCM(424,114) = ( 424 × 114 ) / 2
LCM(424,114) = 48336 / 2
LCM(424,114) = 24168
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FAQs on GCF of Fractions of 2877/424, 3402/114
1. What is the HCF of 2877,3402?
The HCF of 2877,3402 is 21
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 2877/424, 3402/114?
Answer: GCF of Numerators as per given numbers 2877/424, 3402/114 is
GCF of Numerators i.e. for 2877,3402 is 21
LCM of denominators i.e. for 424,114 is 24168.
Thus, GCF of Fractions is 21/24168.Finally, GCF of Fractions for 2877/424, 3402/114 is 21/24168.