GCF of 994/724, 9604/2477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/724, 9604/2477 i.e 14/1793348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/724, 9604/2477.
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 994/724,9604/2477?
Given fractions are 994/724,9604/2477
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 994/724,9604/2477, numerators are 994,9604
Denominators are 724,2477
The GCF of 994,9604 is 14 .
LCM of 724,2477 is 1793348.
The greatest common factor of 994/724,9604/2477 = [GCF of 994,9604]/[LCM of 724,2477]= 14/1793348
Therefore, the GCF of 994/724,9604/2477 is 14/1793348.
To find the highest common factor of 994,9604, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The HCF of 994,9604 is 14.
Lets's calculate GCF of 994,9604
| 2 | 994, 9604 |
| 7 | 497, 4802 |
| 71, 686 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 994,9604 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 9604
:1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Greatest Common Factor
We found the factors 994,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 994,9604 is 14.
Lets's calculate LCM of 724,2477
Given numbers has no common factors except 1. So, there LCM is their product i.e 1793348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1793348
Therefore, the GCF of Fractions 994/724,9604/2477 is 14/1793348
Least Common Multiple of 724,2477 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 724,2477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,2477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,2477) x common factors =1 x 1 = 1
LCM(724,2477) = ( 724 × 2477 ) / 1
LCM(724,2477) = 1793348 / 1
LCM(724,2477) = 1793348
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FAQs on GCF of Fractions of 994/724, 9604/2477
1. What is the HCF of 994,9604?
The HCF of 994,9604 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 994/724, 9604/2477?
Answer: GCF of Numerators as per given numbers 994/724, 9604/2477 is
GCF of Numerators i.e. for 994,9604 is 14
LCM of denominators i.e. for 724,2477 is 1793348.
Thus, GCF of Fractions is 14/1793348.Finally, GCF of Fractions for 994/724, 9604/2477 is 14/1793348.