GCF of 9598/187, 1207/8857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9598/187, 1207/8857 i.e 1/97427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9598/187, 1207/8857.
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 9598/187,1207/8857?
Given fractions are 9598/187,1207/8857
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 9598/187,1207/8857, numerators are 9598,1207
Denominators are 187,8857
The GCF of 9598,1207 is 1 .
LCM of 187,8857 is 97427.
The greatest common factor of 9598/187,1207/8857 = [GCF of 9598,1207]/[LCM of 187,8857]= 1/97427
Therefore, the GCF of 9598/187,1207/8857 is 1/97427.
To find the highest common factor of 9598,1207, 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 1207 are 1, 17, 71, 1207
The HCF of 9598,1207 is 1.
Lets's calculate GCF of 9598,1207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9598,1207 By Matching Biggest Common Factor Method
Now, list down the factors of 9598
:1,2,4799,9598
Now, list down the factors of 1207
:1,17,71,1207
Greatest Common Factor
We found the factors 9598,1207 . The biggest common factor number is the GCF number.
So the greatest common factor 9598,1207 is 1.
Lets's calculate LCM of 187,8857
| 17 | 187, 8857 |
| 11, 521 |
∴ So the LCM of the given numbers is 17 x 11 x 521 = 97427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97427
Therefore, the GCF of Fractions 9598/187,1207/8857 is 1/97427
Least Common Multiple of 187,8857 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 187,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,8857) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(187,8857) x common factors =17 x 1 = 17
LCM(187,8857) = ( 187 × 8857 ) / 17
LCM(187,8857) = 1656259 / 17
LCM(187,8857) = 97427
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FAQs on GCF of Fractions of 9598/187, 1207/8857
1. What is the HCF of 9598,1207?
The HCF of 9598,1207 is 1
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 9598/187, 1207/8857?
Answer: GCF of Numerators as per given numbers 9598/187, 1207/8857 is
GCF of Numerators i.e. for 9598,1207 is 1
LCM of denominators i.e. for 187,8857 is 97427.
Thus, GCF of Fractions is 1/97427.Finally, GCF of Fractions for 9598/187, 1207/8857 is 1/97427.