GCF of 2420/177, 5504/4091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2420/177, 5504/4091 i.e 4/724107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2420/177, 5504/4091.
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 2420/177,5504/4091?
Given fractions are 2420/177,5504/4091
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 2420/177,5504/4091, numerators are 2420,5504
Denominators are 177,4091
The GCF of 2420,5504 is 4 .
LCM of 177,4091 is 724107.
The greatest common factor of 2420/177,5504/4091 = [GCF of 2420,5504]/[LCM of 177,4091]= 4/724107
Therefore, the GCF of 2420/177,5504/4091 is 4/724107.
To find the highest common factor of 2420,5504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The HCF of 2420,5504 is 4.
Lets's calculate GCF of 2420,5504
| 2 | 2420, 5504 |
| 2 | 1210, 2752 |
| 605, 1376 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2420,5504 By Matching Biggest Common Factor Method
Now, list down the factors of 2420
:1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Greatest Common Factor
We found the factors 2420,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 2420,5504 is 4.
Lets's calculate LCM of 177,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 724107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/724107
Therefore, the GCF of Fractions 2420/177,5504/4091 is 4/724107
Least Common Multiple of 177,4091 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 177,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,4091) x common factors =1 x 1 = 1
LCM(177,4091) = ( 177 × 4091 ) / 1
LCM(177,4091) = 724107 / 1
LCM(177,4091) = 724107
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FAQs on GCF of Fractions of 2420/177, 5504/4091
1. What is the HCF of 2420,5504?
The HCF of 2420,5504 is 4
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 2420/177, 5504/4091?
Answer: GCF of Numerators as per given numbers 2420/177, 5504/4091 is
GCF of Numerators i.e. for 2420,5504 is 4
LCM of denominators i.e. for 177,4091 is 724107.
Thus, GCF of Fractions is 4/724107.Finally, GCF of Fractions for 2420/177, 5504/4091 is 4/724107.