GCF of 1097/603, 7563/9951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1097/603, 7563/9951 i.e 1/2000151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1097/603, 7563/9951.
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 1097/603,7563/9951?
Given fractions are 1097/603,7563/9951
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 1097/603,7563/9951, numerators are 1097,7563
Denominators are 603,9951
The GCF of 1097,7563 is 1 .
LCM of 603,9951 is 2000151.
The greatest common factor of 1097/603,7563/9951 = [GCF of 1097,7563]/[LCM of 603,9951]= 1/2000151
Therefore, the GCF of 1097/603,7563/9951 is 1/2000151.
To find the highest common factor of 1097,7563, we have to find the factors of both numbers and list the highest common factor.
The factors of 1097 are 1, 1097
The factors of 7563 are 1, 3, 2521, 7563
The HCF of 1097,7563 is 1.
Lets's calculate GCF of 1097,7563
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1097,7563 By Matching Biggest Common Factor Method
Now, list down the factors of 1097
:1,1097
Now, list down the factors of 7563
:1,3,2521,7563
Greatest Common Factor
We found the factors 1097,7563 . The biggest common factor number is the GCF number.
So the greatest common factor 1097,7563 is 1.
Lets's calculate LCM of 603,9951
| 3 | 603, 9951 |
| 201, 3317 |
∴ So the LCM of the given numbers is 3 x 201 x 3317 = 2000151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2000151
Therefore, the GCF of Fractions 1097/603,7563/9951 is 1/2000151
Least Common Multiple of 603,9951 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 603,9951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,9951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,9951) x common factors =3 x 1 = 3
LCM(603,9951) = ( 603 × 9951 ) / 3
LCM(603,9951) = 6000453 / 3
LCM(603,9951) = 2000151
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FAQs on GCF of Fractions of 1097/603, 7563/9951
1. What is the HCF of 1097,7563?
The HCF of 1097,7563 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 1097/603, 7563/9951?
Answer: GCF of Numerators as per given numbers 1097/603, 7563/9951 is
GCF of Numerators i.e. for 1097,7563 is 1
LCM of denominators i.e. for 603,9951 is 2000151.
Thus, GCF of Fractions is 1/2000151.Finally, GCF of Fractions for 1097/603, 7563/9951 is 1/2000151.