GCF of 8120/608, 7525/4049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8120/608, 7525/4049 i.e 35/2461792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8120/608, 7525/4049.
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 8120/608,7525/4049?
Given fractions are 8120/608,7525/4049
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 8120/608,7525/4049, numerators are 8120,7525
Denominators are 608,4049
The GCF of 8120,7525 is 35 .
LCM of 608,4049 is 2461792.
The greatest common factor of 8120/608,7525/4049 = [GCF of 8120,7525]/[LCM of 608,4049]= 35/2461792
Therefore, the GCF of 8120/608,7525/4049 is 35/2461792.
To find the highest common factor of 8120,7525, we have to find the factors of both numbers and list the highest common factor.
The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The HCF of 8120,7525 is 35.
Lets's calculate GCF of 8120,7525
| 5 | 8120, 7525 |
| 7 | 1624, 1505 |
| 232, 215 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 8120,7525 By Matching Biggest Common Factor Method
Now, list down the factors of 8120
:1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Greatest Common Factor
We found the factors 8120,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 8120,7525 is 35.
Lets's calculate LCM of 608,4049
Given numbers has no common factors except 1. So, there LCM is their product i.e 2461792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/2461792
Therefore, the GCF of Fractions 8120/608,7525/4049 is 35/2461792
Least Common Multiple of 608,4049 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 608,4049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,4049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,4049) x common factors =1 x 1 = 1
LCM(608,4049) = ( 608 × 4049 ) / 1
LCM(608,4049) = 2461792 / 1
LCM(608,4049) = 2461792
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FAQs on GCF of Fractions of 8120/608, 7525/4049
1. What is the HCF of 8120,7525?
The HCF of 8120,7525 is 35
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 8120/608, 7525/4049?
Answer: GCF of Numerators as per given numbers 8120/608, 7525/4049 is
GCF of Numerators i.e. for 8120,7525 is 35
LCM of denominators i.e. for 608,4049 is 2461792.
Thus, GCF of Fractions is 35/2461792.Finally, GCF of Fractions for 8120/608, 7525/4049 is 35/2461792.