GCF of 7203/406, 6664/1446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7203/406, 6664/1446 i.e 49/293538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7203/406, 6664/1446.
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 7203/406,6664/1446?
Given fractions are 7203/406,6664/1446
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 7203/406,6664/1446, numerators are 7203,6664
Denominators are 406,1446
The GCF of 7203,6664 is 49 .
LCM of 406,1446 is 293538.
The greatest common factor of 7203/406,6664/1446 = [GCF of 7203,6664]/[LCM of 406,1446]= 49/293538
Therefore, the GCF of 7203/406,6664/1446 is 49/293538.
To find the highest common factor of 7203,6664, 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 6664 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664
The HCF of 7203,6664 is 49.
Lets's calculate GCF of 7203,6664
| 7 | 7203, 6664 |
| 7 | 1029, 952 |
| 147, 136 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 7203,6664 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 6664
:1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Greatest Common Factor
We found the factors 7203,6664 . The biggest common factor number is the GCF number.
So the greatest common factor 7203,6664 is 49.
Lets's calculate LCM of 406,1446
| 2 | 406, 1446 |
| 203, 723 |
∴ So the LCM of the given numbers is 2 x 203 x 723 = 293538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/293538
Therefore, the GCF of Fractions 7203/406,6664/1446 is 49/293538
Least Common Multiple of 406,1446 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 406,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,1446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,1446) x common factors =2 x 1 = 2
LCM(406,1446) = ( 406 × 1446 ) / 2
LCM(406,1446) = 587076 / 2
LCM(406,1446) = 293538
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FAQs on GCF of Fractions of 7203/406, 6664/1446
1. What is the HCF of 7203,6664?
The HCF of 7203,6664 is 49
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 7203/406, 6664/1446?
Answer: GCF of Numerators as per given numbers 7203/406, 6664/1446 is
GCF of Numerators i.e. for 7203,6664 is 49
LCM of denominators i.e. for 406,1446 is 293538.
Thus, GCF of Fractions is 49/293538.Finally, GCF of Fractions for 7203/406, 6664/1446 is 49/293538.