GCF of 6902/441, 4914/2956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6902/441, 4914/2956 i.e 14/1303596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6902/441, 4914/2956.
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 6902/441,4914/2956?
Given fractions are 6902/441,4914/2956
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 6902/441,4914/2956, numerators are 6902,4914
Denominators are 441,2956
The GCF of 6902,4914 is 14 .
LCM of 441,2956 is 1303596.
The greatest common factor of 6902/441,4914/2956 = [GCF of 6902,4914]/[LCM of 441,2956]= 14/1303596
Therefore, the GCF of 6902/441,4914/2956 is 14/1303596.
To find the highest common factor of 6902,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 6902,4914 is 14.
Lets's calculate GCF of 6902,4914
| 2 | 6902, 4914 |
| 7 | 3451, 2457 |
| 493, 351 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6902,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 6902
:1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 6902,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 6902,4914 is 14.
Lets's calculate LCM of 441,2956
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1303596
Therefore, the GCF of Fractions 6902/441,4914/2956 is 14/1303596
Least Common Multiple of 441,2956 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 441,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,2956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,2956) x common factors =1 x 1 = 1
LCM(441,2956) = ( 441 × 2956 ) / 1
LCM(441,2956) = 1303596 / 1
LCM(441,2956) = 1303596
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FAQs on GCF of Fractions of 6902/441, 4914/2956
1. What is the HCF of 6902,4914?
The HCF of 6902,4914 is 14
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 6902/441, 4914/2956?
Answer: GCF of Numerators as per given numbers 6902/441, 4914/2956 is
GCF of Numerators i.e. for 6902,4914 is 14
LCM of denominators i.e. for 441,2956 is 1303596.
Thus, GCF of Fractions is 14/1303596.Finally, GCF of Fractions for 6902/441, 4914/2956 is 14/1303596.