GCF of 2778/476, 3864/8212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2778/476, 3864/8212 i.e 6/977228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2778/476, 3864/8212.
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 2778/476,3864/8212?
Given fractions are 2778/476,3864/8212
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 2778/476,3864/8212, numerators are 2778,3864
Denominators are 476,8212
The GCF of 2778,3864 is 6 .
LCM of 476,8212 is 977228.
The greatest common factor of 2778/476,3864/8212 = [GCF of 2778,3864]/[LCM of 476,8212]= 6/977228
Therefore, the GCF of 2778/476,3864/8212 is 6/977228.
To find the highest common factor of 2778,3864, we have to find the factors of both numbers and list the highest common factor.
The factors of 2778 are 1, 2, 3, 6, 463, 926, 1389, 2778
The factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864
The HCF of 2778,3864 is 6.
Lets's calculate GCF of 2778,3864
| 2 | 2778, 3864 |
| 3 | 1389, 1932 |
| 463, 644 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2778,3864 By Matching Biggest Common Factor Method
Now, list down the factors of 2778
:1,2,3,6,463,926,1389,2778
Now, list down the factors of 3864
:1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864
Greatest Common Factor
We found the factors 2778,3864 . The biggest common factor number is the GCF number.
So the greatest common factor 2778,3864 is 6.
Lets's calculate LCM of 476,8212
| 2 | 476, 8212 |
| 2 | 238, 4106 |
| 119, 2053 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 2053 = 977228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/977228
Therefore, the GCF of Fractions 2778/476,3864/8212 is 6/977228
Least Common Multiple of 476,8212 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 476,8212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,8212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,8212) x common factors =4 x 1 = 4
LCM(476,8212) = ( 476 × 8212 ) / 4
LCM(476,8212) = 3908912 / 4
LCM(476,8212) = 977228
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FAQs on GCF of Fractions of 2778/476, 3864/8212
1. What is the HCF of 2778,3864?
The HCF of 2778,3864 is 6
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 2778/476, 3864/8212?
Answer: GCF of Numerators as per given numbers 2778/476, 3864/8212 is
GCF of Numerators i.e. for 2778,3864 is 6
LCM of denominators i.e. for 476,8212 is 977228.
Thus, GCF of Fractions is 6/977228.Finally, GCF of Fractions for 2778/476, 3864/8212 is 6/977228.