GCF of 2500/905, 9598/1056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2500/905, 9598/1056 i.e 2/955680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2500/905, 9598/1056.
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 2500/905,9598/1056?
Given fractions are 2500/905,9598/1056
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 2500/905,9598/1056, numerators are 2500,9598
Denominators are 905,1056
The GCF of 2500,9598 is 2 .
LCM of 905,1056 is 955680.
The greatest common factor of 2500/905,9598/1056 = [GCF of 2500,9598]/[LCM of 905,1056]= 2/955680
Therefore, the GCF of 2500/905,9598/1056 is 2/955680.
To find the highest common factor of 2500,9598, we have to find the factors of both numbers and list the highest common factor.
The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500
The factors of 9598 are 1, 2, 4799, 9598
The HCF of 2500,9598 is 2.
Lets's calculate GCF of 2500,9598
| 2 | 2500, 9598 |
| 1250, 4799 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2500,9598 By Matching Biggest Common Factor Method
Now, list down the factors of 2500
:1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500
Now, list down the factors of 9598
:1,2,4799,9598
Greatest Common Factor
We found the factors 2500,9598 . The biggest common factor number is the GCF number.
So the greatest common factor 2500,9598 is 2.
Lets's calculate LCM of 905,1056
Given numbers has no common factors except 1. So, there LCM is their product i.e 955680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/955680
Therefore, the GCF of Fractions 2500/905,9598/1056 is 2/955680
Least Common Multiple of 905,1056 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 905,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,1056) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,1056) x common factors =1 x 1 = 1
LCM(905,1056) = ( 905 × 1056 ) / 1
LCM(905,1056) = 955680 / 1
LCM(905,1056) = 955680
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FAQs on GCF of Fractions of 2500/905, 9598/1056
1. What is the HCF of 2500,9598?
The HCF of 2500,9598 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 2500/905, 9598/1056?
Answer: GCF of Numerators as per given numbers 2500/905, 9598/1056 is
GCF of Numerators i.e. for 2500,9598 is 2
LCM of denominators i.e. for 905,1056 is 955680.
Thus, GCF of Fractions is 2/955680.Finally, GCF of Fractions for 2500/905, 9598/1056 is 2/955680.