GCF of 2597/226, 9960/5848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2597/226, 9960/5848 i.e 1/660824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2597/226, 9960/5848.
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 2597/226,9960/5848?
Given fractions are 2597/226,9960/5848
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 2597/226,9960/5848, numerators are 2597,9960
Denominators are 226,5848
The GCF of 2597,9960 is 1 .
LCM of 226,5848 is 660824.
The greatest common factor of 2597/226,9960/5848 = [GCF of 2597,9960]/[LCM of 226,5848]= 1/660824
Therefore, the GCF of 2597/226,9960/5848 is 1/660824.
To find the highest common factor of 2597,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 2597 are 1, 7, 49, 53, 371, 2597
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The HCF of 2597,9960 is 1.
Lets's calculate GCF of 2597,9960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2597,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 2597
:1,7,49,53,371,2597
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Greatest Common Factor
We found the factors 2597,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 2597,9960 is 1.
Lets's calculate LCM of 226,5848
| 2 | 226, 5848 |
| 113, 2924 |
∴ So the LCM of the given numbers is 2 x 113 x 2924 = 660824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660824
Therefore, the GCF of Fractions 2597/226,9960/5848 is 1/660824
Least Common Multiple of 226,5848 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 226,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,5848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,5848) x common factors =2 x 1 = 2
LCM(226,5848) = ( 226 × 5848 ) / 2
LCM(226,5848) = 1321648 / 2
LCM(226,5848) = 660824
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FAQs on GCF of Fractions of 2597/226, 9960/5848
1. What is the HCF of 2597,9960?
The HCF of 2597,9960 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 2597/226, 9960/5848?
Answer: GCF of Numerators as per given numbers 2597/226, 9960/5848 is
GCF of Numerators i.e. for 2597,9960 is 1
LCM of denominators i.e. for 226,5848 is 660824.
Thus, GCF of Fractions is 1/660824.Finally, GCF of Fractions for 2597/226, 9960/5848 is 1/660824.