GCF of 3972/773, 2028/5858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3972/773, 2028/5858 i.e 12/4528234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3972/773, 2028/5858.
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 3972/773,2028/5858?
Given fractions are 3972/773,2028/5858
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 3972/773,2028/5858, numerators are 3972,2028
Denominators are 773,5858
The GCF of 3972,2028 is 12 .
LCM of 773,5858 is 4528234.
The greatest common factor of 3972/773,2028/5858 = [GCF of 3972,2028]/[LCM of 773,5858]= 12/4528234
Therefore, the GCF of 3972/773,2028/5858 is 12/4528234.
To find the highest common factor of 3972,2028, 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 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
The HCF of 3972,2028 is 12.
Lets's calculate GCF of 3972,2028
| 2 | 3972, 2028 |
| 2 | 1986, 1014 |
| 3 | 993, 507 |
| 331, 169 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3972,2028 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 2028
:1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028
Greatest Common Factor
We found the factors 3972,2028 . The biggest common factor number is the GCF number.
So the greatest common factor 3972,2028 is 12.
Lets's calculate LCM of 773,5858
Given numbers has no common factors except 1. So, there LCM is their product i.e 4528234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4528234
Therefore, the GCF of Fractions 3972/773,2028/5858 is 12/4528234
Least Common Multiple of 773,5858 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 773,5858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,5858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,5858) x common factors =1 x 1 = 1
LCM(773,5858) = ( 773 × 5858 ) / 1
LCM(773,5858) = 4528234 / 1
LCM(773,5858) = 4528234
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FAQs on GCF of Fractions of 3972/773, 2028/5858
1. What is the HCF of 3972,2028?
The HCF of 3972,2028 is 12
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 3972/773, 2028/5858?
Answer: GCF of Numerators as per given numbers 3972/773, 2028/5858 is
GCF of Numerators i.e. for 3972,2028 is 12
LCM of denominators i.e. for 773,5858 is 4528234.
Thus, GCF of Fractions is 12/4528234.Finally, GCF of Fractions for 3972/773, 2028/5858 is 12/4528234.