GCF of 3872/468, 1978/3679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3872/468, 1978/3679 i.e 2/132444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3872/468, 1978/3679.
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 3872/468,1978/3679?
Given fractions are 3872/468,1978/3679
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 3872/468,1978/3679, numerators are 3872,1978
Denominators are 468,3679
The GCF of 3872,1978 is 2 .
LCM of 468,3679 is 132444.
The greatest common factor of 3872/468,1978/3679 = [GCF of 3872,1978]/[LCM of 468,3679]= 2/132444
Therefore, the GCF of 3872/468,1978/3679 is 2/132444.
To find the highest common factor of 3872,1978, we have to find the factors of both numbers and list the highest common factor.
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The HCF of 3872,1978 is 2.
Lets's calculate GCF of 3872,1978
| 2 | 3872, 1978 |
| 1936, 989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3872,1978 By Matching Biggest Common Factor Method
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 3872,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 3872,1978 is 2.
Lets's calculate LCM of 468,3679
| 13 | 468, 3679 |
| 36, 283 |
∴ So the LCM of the given numbers is 13 x 36 x 283 = 132444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132444
Therefore, the GCF of Fractions 3872/468,1978/3679 is 2/132444
Least Common Multiple of 468,3679 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 468,3679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,3679) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(468,3679) x common factors =13 x 1 = 13
LCM(468,3679) = ( 468 × 3679 ) / 13
LCM(468,3679) = 1721772 / 13
LCM(468,3679) = 132444
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FAQs on GCF of Fractions of 3872/468, 1978/3679
1. What is the HCF of 3872,1978?
The HCF of 3872,1978 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 3872/468, 1978/3679?
Answer: GCF of Numerators as per given numbers 3872/468, 1978/3679 is
GCF of Numerators i.e. for 3872,1978 is 2
LCM of denominators i.e. for 468,3679 is 132444.
Thus, GCF of Fractions is 2/132444.Finally, GCF of Fractions for 3872/468, 1978/3679 is 2/132444.