GCF of 9598/978, 1774/5460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9598/978, 1774/5460 i.e 2/889980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9598/978, 1774/5460.
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 9598/978,1774/5460?
Given fractions are 9598/978,1774/5460
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 9598/978,1774/5460, numerators are 9598,1774
Denominators are 978,5460
The GCF of 9598,1774 is 2 .
LCM of 978,5460 is 889980.
The greatest common factor of 9598/978,1774/5460 = [GCF of 9598,1774]/[LCM of 978,5460]= 2/889980
Therefore, the GCF of 9598/978,1774/5460 is 2/889980.
To find the highest common factor of 9598,1774, we have to find the factors of both numbers and list the highest common factor.
The factors of 9598 are 1, 2, 4799, 9598
The factors of 1774 are 1, 2, 887, 1774
The HCF of 9598,1774 is 2.
Lets's calculate GCF of 9598,1774
| 2 | 9598, 1774 |
| 4799, 887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9598,1774 By Matching Biggest Common Factor Method
Now, list down the factors of 9598
:1,2,4799,9598
Now, list down the factors of 1774
:1,2,887,1774
Greatest Common Factor
We found the factors 9598,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 9598,1774 is 2.
Lets's calculate LCM of 978,5460
| 2 | 978, 5460 |
| 3 | 489, 2730 |
| 163, 910 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 910 = 889980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/889980
Therefore, the GCF of Fractions 9598/978,1774/5460 is 2/889980
Least Common Multiple of 978,5460 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 978,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,5460) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,5460) x common factors =6 x 1 = 6
LCM(978,5460) = ( 978 × 5460 ) / 6
LCM(978,5460) = 5339880 / 6
LCM(978,5460) = 889980
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FAQs on GCF of Fractions of 9598/978, 1774/5460
1. What is the HCF of 9598,1774?
The HCF of 9598,1774 is 2
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 9598/978, 1774/5460?
Answer: GCF of Numerators as per given numbers 9598/978, 1774/5460 is
GCF of Numerators i.e. for 9598,1774 is 2
LCM of denominators i.e. for 978,5460 is 889980.
Thus, GCF of Fractions is 2/889980.Finally, GCF of Fractions for 9598/978, 1774/5460 is 2/889980.