GCF of 2604/211, 9920/5575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2604/211, 9920/5575 i.e 124/1176325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2604/211, 9920/5575.
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 2604/211,9920/5575?
Given fractions are 2604/211,9920/5575
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 2604/211,9920/5575, numerators are 2604,9920
Denominators are 211,5575
The GCF of 2604,9920 is 124 .
LCM of 211,5575 is 1176325.
The greatest common factor of 2604/211,9920/5575 = [GCF of 2604,9920]/[LCM of 211,5575]= 124/1176325
Therefore, the GCF of 2604/211,9920/5575 is 124/1176325.
To find the highest common factor of 2604,9920, we have to find the factors of both numbers and list the highest common factor.
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The HCF of 2604,9920 is 124.
Lets's calculate GCF of 2604,9920
| 2 | 2604, 9920 |
| 2 | 1302, 4960 |
| 31 | 651, 2480 |
| 21, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Greatest Common Factor of 2604,9920 By Matching Biggest Common Factor Method
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Greatest Common Factor
We found the factors 2604,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 2604,9920 is 124.
Lets's calculate LCM of 211,5575
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 124/1176325
Therefore, the GCF of Fractions 2604/211,9920/5575 is 124/1176325
Least Common Multiple of 211,5575 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 211,5575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,5575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,5575) x common factors =1 x 1 = 1
LCM(211,5575) = ( 211 × 5575 ) / 1
LCM(211,5575) = 1176325 / 1
LCM(211,5575) = 1176325
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FAQs on GCF of Fractions of 2604/211, 9920/5575
1. What is the HCF of 2604,9920?
The HCF of 2604,9920 is 124
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 2604/211, 9920/5575?
Answer: GCF of Numerators as per given numbers 2604/211, 9920/5575 is
GCF of Numerators i.e. for 2604,9920 is 124
LCM of denominators i.e. for 211,5575 is 1176325.
Thus, GCF of Fractions is 124/1176325.Finally, GCF of Fractions for 2604/211, 9920/5575 is 124/1176325.