GCF of 2603/724, 9605/1991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2603/724, 9605/1991 i.e 1/7964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2603/724, 9605/1991.
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 2603/724,9605/1991?
Given fractions are 2603/724,9605/1991
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 2603/724,9605/1991, numerators are 2603,9605
Denominators are 724,1991
The GCF of 2603,9605 is 1 .
LCM of 724,1991 is 7964.
The greatest common factor of 2603/724,9605/1991 = [GCF of 2603,9605]/[LCM of 724,1991]= 1/7964
Therefore, the GCF of 2603/724,9605/1991 is 1/7964.
To find the highest common factor of 2603,9605, we have to find the factors of both numbers and list the highest common factor.
The factors of 2603 are 1, 19, 137, 2603
The factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605
The HCF of 2603,9605 is 1.
Lets's calculate GCF of 2603,9605
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2603,9605 By Matching Biggest Common Factor Method
Now, list down the factors of 2603
:1,19,137,2603
Now, list down the factors of 9605
:1,5,17,85,113,565,1921,9605
Greatest Common Factor
We found the factors 2603,9605 . The biggest common factor number is the GCF number.
So the greatest common factor 2603,9605 is 1.
Lets's calculate LCM of 724,1991
| 181 | 724, 1991 |
| 4, 11 |
∴ So the LCM of the given numbers is 181 x 4 x 11 = 7964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7964
Therefore, the GCF of Fractions 2603/724,9605/1991 is 1/7964
Least Common Multiple of 724,1991 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 724,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,1991) = 181
common factors(in case of two or more numbers have common factors) = 1
GCF(724,1991) x common factors =181 x 1 = 181
LCM(724,1991) = ( 724 × 1991 ) / 181
LCM(724,1991) = 1441484 / 181
LCM(724,1991) = 7964
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FAQs on GCF of Fractions of 2603/724, 9605/1991
1. What is the HCF of 2603,9605?
The HCF of 2603,9605 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 2603/724, 9605/1991?
Answer: GCF of Numerators as per given numbers 2603/724, 9605/1991 is
GCF of Numerators i.e. for 2603,9605 is 1
LCM of denominators i.e. for 724,1991 is 7964.
Thus, GCF of Fractions is 1/7964.Finally, GCF of Fractions for 2603/724, 9605/1991 is 1/7964.