GCF of 2773/842, 4020/7698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2773/842, 4020/7698 i.e 1/3240858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2773/842, 4020/7698.
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 2773/842,4020/7698?
Given fractions are 2773/842,4020/7698
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 2773/842,4020/7698, numerators are 2773,4020
Denominators are 842,7698
The GCF of 2773,4020 is 1 .
LCM of 842,7698 is 3240858.
The greatest common factor of 2773/842,4020/7698 = [GCF of 2773,4020]/[LCM of 842,7698]= 1/3240858
Therefore, the GCF of 2773/842,4020/7698 is 1/3240858.
To find the highest common factor of 2773,4020, we have to find the factors of both numbers and list the highest common factor.
The factors of 2773 are 1, 47, 59, 2773
The factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
The HCF of 2773,4020 is 1.
Lets's calculate GCF of 2773,4020
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2773,4020 By Matching Biggest Common Factor Method
Now, list down the factors of 2773
:1,47,59,2773
Now, list down the factors of 4020
:1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
Greatest Common Factor
We found the factors 2773,4020 . The biggest common factor number is the GCF number.
So the greatest common factor 2773,4020 is 1.
Lets's calculate LCM of 842,7698
| 2 | 842, 7698 |
| 421, 3849 |
∴ So the LCM of the given numbers is 2 x 421 x 3849 = 3240858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3240858
Therefore, the GCF of Fractions 2773/842,4020/7698 is 1/3240858
Least Common Multiple of 842,7698 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 842,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,7698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,7698) x common factors =2 x 1 = 2
LCM(842,7698) = ( 842 × 7698 ) / 2
LCM(842,7698) = 6481716 / 2
LCM(842,7698) = 3240858
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FAQs on GCF of Fractions of 2773/842, 4020/7698
1. What is the HCF of 2773,4020?
The HCF of 2773,4020 is 1
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 2773/842, 4020/7698?
Answer: GCF of Numerators as per given numbers 2773/842, 4020/7698 is
GCF of Numerators i.e. for 2773,4020 is 1
LCM of denominators i.e. for 842,7698 is 3240858.
Thus, GCF of Fractions is 1/3240858.Finally, GCF of Fractions for 2773/842, 4020/7698 is 1/3240858.