GCF of 5425/709, 8165/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5425/709, 8165/120 i.e 5/85080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5425/709, 8165/120.
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 5425/709,8165/120?
Given fractions are 5425/709,8165/120
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 5425/709,8165/120, numerators are 5425,8165
Denominators are 709,120
The GCF of 5425,8165 is 5 .
LCM of 709,120 is 85080.
The greatest common factor of 5425/709,8165/120 = [GCF of 5425,8165]/[LCM of 709,120]= 5/85080
Therefore, the GCF of 5425/709,8165/120 is 5/85080.
To find the highest common factor of 5425,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 5425,8165 is 5.
Lets's calculate GCF of 5425,8165
| 5 | 5425, 8165 |
| 1085, 1633 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5425,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 5425
:1,5,7,25,31,35,155,175,217,775,1085,5425
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 5425,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,8165 is 5.
Lets's calculate LCM of 709,120
Given numbers has no common factors except 1. So, there LCM is their product i.e 85080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/85080
Therefore, the GCF of Fractions 5425/709,8165/120 is 5/85080
Least Common Multiple of 709,120 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 709,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,120) x common factors =1 x 1 = 1
LCM(709,120) = ( 709 × 120 ) / 1
LCM(709,120) = 85080 / 1
LCM(709,120) = 85080
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FAQs on GCF of Fractions of 5425/709, 8165/120
1. What is the HCF of 5425,8165?
The HCF of 5425,8165 is 5
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 5425/709, 8165/120?
Answer: GCF of Numerators as per given numbers 5425/709, 8165/120 is
GCF of Numerators i.e. for 5425,8165 is 5
LCM of denominators i.e. for 709,120 is 85080.
Thus, GCF of Fractions is 5/85080.Finally, GCF of Fractions for 5425/709, 8165/120 is 5/85080.