GCF of 6903/232, 7917/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6903/232, 7917/4208 i.e 39/122032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6903/232, 7917/4208.
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 6903/232,7917/4208?
Given fractions are 6903/232,7917/4208
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 6903/232,7917/4208, numerators are 6903,7917
Denominators are 232,4208
The GCF of 6903,7917 is 39 .
LCM of 232,4208 is 122032.
The greatest common factor of 6903/232,7917/4208 = [GCF of 6903,7917]/[LCM of 232,4208]= 39/122032
Therefore, the GCF of 6903/232,7917/4208 is 39/122032.
To find the highest common factor of 6903,7917, we have to find the factors of both numbers and list the highest common factor.
The factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903
The factors of 7917 are 1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917
The HCF of 6903,7917 is 39.
Lets's calculate GCF of 6903,7917
| 3 | 6903, 7917 |
| 13 | 2301, 2639 |
| 177, 203 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 6903,7917 By Matching Biggest Common Factor Method
Now, list down the factors of 6903
:1,3,9,13,39,59,117,177,531,767,2301,6903
Now, list down the factors of 7917
:1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917
Greatest Common Factor
We found the factors 6903,7917 . The biggest common factor number is the GCF number.
So the greatest common factor 6903,7917 is 39.
Lets's calculate LCM of 232,4208
| 2 | 232, 4208 |
| 2 | 116, 2104 |
| 2 | 58, 1052 |
| 29, 526 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 526 = 122032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/122032
Therefore, the GCF of Fractions 6903/232,7917/4208 is 39/122032
Least Common Multiple of 232,4208 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 232,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,4208) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(232,4208) x common factors =8 x 1 = 8
LCM(232,4208) = ( 232 × 4208 ) / 8
LCM(232,4208) = 976256 / 8
LCM(232,4208) = 122032
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FAQs on GCF of Fractions of 6903/232, 7917/4208
1. What is the HCF of 6903,7917?
The HCF of 6903,7917 is 39
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 6903/232, 7917/4208?
Answer: GCF of Numerators as per given numbers 6903/232, 7917/4208 is
GCF of Numerators i.e. for 6903,7917 is 39
LCM of denominators i.e. for 232,4208 is 122032.
Thus, GCF of Fractions is 39/122032.Finally, GCF of Fractions for 6903/232, 7917/4208 is 39/122032.