GCF of 6363/389, 2076/7662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6363/389, 2076/7662 i.e 3/2980518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6363/389, 2076/7662.
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 6363/389,2076/7662?
Given fractions are 6363/389,2076/7662
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 6363/389,2076/7662, numerators are 6363,2076
Denominators are 389,7662
The GCF of 6363,2076 is 3 .
LCM of 389,7662 is 2980518.
The greatest common factor of 6363/389,2076/7662 = [GCF of 6363,2076]/[LCM of 389,7662]= 3/2980518
Therefore, the GCF of 6363/389,2076/7662 is 3/2980518.
To find the highest common factor of 6363,2076, we have to find the factors of both numbers and list the highest common factor.
The factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The HCF of 6363,2076 is 3.
Lets's calculate GCF of 6363,2076
| 3 | 6363, 2076 |
| 2121, 692 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6363,2076 By Matching Biggest Common Factor Method
Now, list down the factors of 6363
:1,3,7,9,21,63,101,303,707,909,2121,6363
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Greatest Common Factor
We found the factors 6363,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,2076 is 3.
Lets's calculate LCM of 389,7662
Given numbers has no common factors except 1. So, there LCM is their product i.e 2980518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2980518
Therefore, the GCF of Fractions 6363/389,2076/7662 is 3/2980518
Least Common Multiple of 389,7662 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 389,7662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7662) x common factors =1 x 1 = 1
LCM(389,7662) = ( 389 × 7662 ) / 1
LCM(389,7662) = 2980518 / 1
LCM(389,7662) = 2980518
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FAQs on GCF of Fractions of 6363/389, 2076/7662
1. What is the HCF of 6363,2076?
The HCF of 6363,2076 is 3
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 6363/389, 2076/7662?
Answer: GCF of Numerators as per given numbers 6363/389, 2076/7662 is
GCF of Numerators i.e. for 6363,2076 is 3
LCM of denominators i.e. for 389,7662 is 2980518.
Thus, GCF of Fractions is 3/2980518.Finally, GCF of Fractions for 6363/389, 2076/7662 is 3/2980518.