GCF of 8436/476, 3142/3276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8436/476, 3142/3276 i.e 2/55692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8436/476, 3142/3276.
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 8436/476,3142/3276?
Given fractions are 8436/476,3142/3276
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 8436/476,3142/3276, numerators are 8436,3142
Denominators are 476,3276
The GCF of 8436,3142 is 2 .
LCM of 476,3276 is 55692.
The greatest common factor of 8436/476,3142/3276 = [GCF of 8436,3142]/[LCM of 476,3276]= 2/55692
Therefore, the GCF of 8436/476,3142/3276 is 2/55692.
To find the highest common factor of 8436,3142, we have to find the factors of both numbers and list the highest common factor.
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The factors of 3142 are 1, 2, 1571, 3142
The HCF of 8436,3142 is 2.
Lets's calculate GCF of 8436,3142
| 2 | 8436, 3142 |
| 4218, 1571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8436,3142 By Matching Biggest Common Factor Method
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Now, list down the factors of 3142
:1,2,1571,3142
Greatest Common Factor
We found the factors 8436,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,3142 is 2.
Lets's calculate LCM of 476,3276
| 2 | 476, 3276 |
| 2 | 238, 1638 |
| 7 | 119, 819 |
| 17, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 117 = 55692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55692
Therefore, the GCF of Fractions 8436/476,3142/3276 is 2/55692
Least Common Multiple of 476,3276 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 476,3276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,3276) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(476,3276) x common factors =28 x 1 = 28
LCM(476,3276) = ( 476 × 3276 ) / 28
LCM(476,3276) = 1559376 / 28
LCM(476,3276) = 55692
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FAQs on GCF of Fractions of 8436/476, 3142/3276
1. What is the HCF of 8436,3142?
The HCF of 8436,3142 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 8436/476, 3142/3276?
Answer: GCF of Numerators as per given numbers 8436/476, 3142/3276 is
GCF of Numerators i.e. for 8436,3142 is 2
LCM of denominators i.e. for 476,3276 is 55692.
Thus, GCF of Fractions is 2/55692.Finally, GCF of Fractions for 8436/476, 3142/3276 is 2/55692.