GCF of 7203/646, 6204/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7203/646, 6204/881 i.e 3/569126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7203/646, 6204/881.
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 7203/646,6204/881?
Given fractions are 7203/646,6204/881
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 7203/646,6204/881, numerators are 7203,6204
Denominators are 646,881
The GCF of 7203,6204 is 3 .
LCM of 646,881 is 569126.
The greatest common factor of 7203/646,6204/881 = [GCF of 7203,6204]/[LCM of 646,881]= 3/569126
Therefore, the GCF of 7203/646,6204/881 is 3/569126.
To find the highest common factor of 7203,6204, we have to find the factors of both numbers and list the highest common factor.
The factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203
The factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The HCF of 7203,6204 is 3.
Lets's calculate GCF of 7203,6204
| 3 | 7203, 6204 |
| 2401, 2068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7203,6204 By Matching Biggest Common Factor Method
Now, list down the factors of 7203
:1,3,7,21,49,147,343,1029,2401,7203
Now, list down the factors of 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 7203,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 7203,6204 is 3.
Lets's calculate LCM of 646,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 569126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/569126
Therefore, the GCF of Fractions 7203/646,6204/881 is 3/569126
Least Common Multiple of 646,881 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 646,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,881) x common factors =1 x 1 = 1
LCM(646,881) = ( 646 × 881 ) / 1
LCM(646,881) = 569126 / 1
LCM(646,881) = 569126
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7203/646, 6204/881
1. What is the HCF of 7203,6204?
The HCF of 7203,6204 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 7203/646, 6204/881?
Answer: GCF of Numerators as per given numbers 7203/646, 6204/881 is
GCF of Numerators i.e. for 7203,6204 is 3
LCM of denominators i.e. for 646,881 is 569126.
Thus, GCF of Fractions is 3/569126.Finally, GCF of Fractions for 7203/646, 6204/881 is 3/569126.