GCF of 7088/561, 2320/5054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7088/561, 2320/5054 i.e 16/2835294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7088/561, 2320/5054.
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 7088/561,2320/5054?
Given fractions are 7088/561,2320/5054
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 7088/561,2320/5054, numerators are 7088,2320
Denominators are 561,5054
The GCF of 7088,2320 is 16 .
LCM of 561,5054 is 2835294.
The greatest common factor of 7088/561,2320/5054 = [GCF of 7088,2320]/[LCM of 561,5054]= 16/2835294
Therefore, the GCF of 7088/561,2320/5054 is 16/2835294.
To find the highest common factor of 7088,2320, we have to find the factors of both numbers and list the highest common factor.
The factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The HCF of 7088,2320 is 16.
Lets's calculate GCF of 7088,2320
| 2 | 7088, 2320 |
| 2 | 3544, 1160 |
| 2 | 1772, 580 |
| 2 | 886, 290 |
| 443, 145 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7088,2320 By Matching Biggest Common Factor Method
Now, list down the factors of 7088
:1,2,4,8,16,443,886,1772,3544,7088
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Greatest Common Factor
We found the factors 7088,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 7088,2320 is 16.
Lets's calculate LCM of 561,5054
Given numbers has no common factors except 1. So, there LCM is their product i.e 2835294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2835294
Therefore, the GCF of Fractions 7088/561,2320/5054 is 16/2835294
Least Common Multiple of 561,5054 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 561,5054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,5054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,5054) x common factors =1 x 1 = 1
LCM(561,5054) = ( 561 × 5054 ) / 1
LCM(561,5054) = 2835294 / 1
LCM(561,5054) = 2835294
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FAQs on GCF of Fractions of 7088/561, 2320/5054
1. What is the HCF of 7088,2320?
The HCF of 7088,2320 is 16
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 7088/561, 2320/5054?
Answer: GCF of Numerators as per given numbers 7088/561, 2320/5054 is
GCF of Numerators i.e. for 7088,2320 is 16
LCM of denominators i.e. for 561,5054 is 2835294.
Thus, GCF of Fractions is 16/2835294.Finally, GCF of Fractions for 7088/561, 2320/5054 is 16/2835294.