GCF of 3972/362, 6458/1019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3972/362, 6458/1019 i.e 2/368878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3972/362, 6458/1019.
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 3972/362,6458/1019?
Given fractions are 3972/362,6458/1019
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 3972/362,6458/1019, numerators are 3972,6458
Denominators are 362,1019
The GCF of 3972,6458 is 2 .
LCM of 362,1019 is 368878.
The greatest common factor of 3972/362,6458/1019 = [GCF of 3972,6458]/[LCM of 362,1019]= 2/368878
Therefore, the GCF of 3972/362,6458/1019 is 2/368878.
To find the highest common factor of 3972,6458, we have to find the factors of both numbers and list the highest common factor.
The factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972
The factors of 6458 are 1, 2, 3229, 6458
The HCF of 3972,6458 is 2.
Lets's calculate GCF of 3972,6458
| 2 | 3972, 6458 |
| 1986, 3229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3972,6458 By Matching Biggest Common Factor Method
Now, list down the factors of 3972
:1,2,3,4,6,12,331,662,993,1324,1986,3972
Now, list down the factors of 6458
:1,2,3229,6458
Greatest Common Factor
We found the factors 3972,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 3972,6458 is 2.
Lets's calculate LCM of 362,1019
Given numbers has no common factors except 1. So, there LCM is their product i.e 368878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/368878
Therefore, the GCF of Fractions 3972/362,6458/1019 is 2/368878
Least Common Multiple of 362,1019 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 362,1019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,1019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,1019) x common factors =1 x 1 = 1
LCM(362,1019) = ( 362 × 1019 ) / 1
LCM(362,1019) = 368878 / 1
LCM(362,1019) = 368878
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FAQs on GCF of Fractions of 3972/362, 6458/1019
1. What is the HCF of 3972,6458?
The HCF of 3972,6458 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 3972/362, 6458/1019?
Answer: GCF of Numerators as per given numbers 3972/362, 6458/1019 is
GCF of Numerators i.e. for 3972,6458 is 2
LCM of denominators i.e. for 362,1019 is 368878.
Thus, GCF of Fractions is 2/368878.Finally, GCF of Fractions for 3972/362, 6458/1019 is 2/368878.