GCF of 4654/989, 4914/793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4654/989, 4914/793 i.e 26/784277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4654/989, 4914/793.
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 4654/989,4914/793?
Given fractions are 4654/989,4914/793
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 4654/989,4914/793, numerators are 4654,4914
Denominators are 989,793
The GCF of 4654,4914 is 26 .
LCM of 989,793 is 784277.
The greatest common factor of 4654/989,4914/793 = [GCF of 4654,4914]/[LCM of 989,793]= 26/784277
Therefore, the GCF of 4654/989,4914/793 is 26/784277.
To find the highest common factor of 4654,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
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 4654,4914 is 26.
Lets's calculate GCF of 4654,4914
| 2 | 4654, 4914 |
| 13 | 2327, 2457 |
| 179, 189 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 4654,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
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 4654,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 4654,4914 is 26.
Lets's calculate LCM of 989,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 784277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/784277
Therefore, the GCF of Fractions 4654/989,4914/793 is 26/784277
Least Common Multiple of 989,793 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 989,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,793) x common factors =1 x 1 = 1
LCM(989,793) = ( 989 × 793 ) / 1
LCM(989,793) = 784277 / 1
LCM(989,793) = 784277
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FAQs on GCF of Fractions of 4654/989, 4914/793
1. What is the HCF of 4654,4914?
The HCF of 4654,4914 is 26
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 4654/989, 4914/793?
Answer: GCF of Numerators as per given numbers 4654/989, 4914/793 is
GCF of Numerators i.e. for 4654,4914 is 26
LCM of denominators i.e. for 989,793 is 784277.
Thus, GCF of Fractions is 26/784277.Finally, GCF of Fractions for 4654/989, 4914/793 is 26/784277.