GCF of 2725/599, 8675/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2725/599, 8675/117 i.e 25/70083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2725/599, 8675/117.
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 2725/599,8675/117?
Given fractions are 2725/599,8675/117
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 2725/599,8675/117, numerators are 2725,8675
Denominators are 599,117
The GCF of 2725,8675 is 25 .
LCM of 599,117 is 70083.
The greatest common factor of 2725/599,8675/117 = [GCF of 2725,8675]/[LCM of 599,117]= 25/70083
Therefore, the GCF of 2725/599,8675/117 is 25/70083.
To find the highest common factor of 2725,8675, we have to find the factors of both numbers and list the highest common factor.
The factors of 2725 are 1, 5, 25, 109, 545, 2725
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The HCF of 2725,8675 is 25.
Lets's calculate GCF of 2725,8675
| 5 | 2725, 8675 |
| 5 | 545, 1735 |
| 109, 347 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2725,8675 By Matching Biggest Common Factor Method
Now, list down the factors of 2725
:1,5,25,109,545,2725
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Greatest Common Factor
We found the factors 2725,8675 . The biggest common factor number is the GCF number.
So the greatest common factor 2725,8675 is 25.
Lets's calculate LCM of 599,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 70083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/70083
Therefore, the GCF of Fractions 2725/599,8675/117 is 25/70083
Least Common Multiple of 599,117 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 599,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,117) x common factors =1 x 1 = 1
LCM(599,117) = ( 599 × 117 ) / 1
LCM(599,117) = 70083 / 1
LCM(599,117) = 70083
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FAQs on GCF of Fractions of 2725/599, 8675/117
1. What is the HCF of 2725,8675?
The HCF of 2725,8675 is 25
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 2725/599, 8675/117?
Answer: GCF of Numerators as per given numbers 2725/599, 8675/117 is
GCF of Numerators i.e. for 2725,8675 is 25
LCM of denominators i.e. for 599,117 is 70083.
Thus, GCF of Fractions is 25/70083.Finally, GCF of Fractions for 2725/599, 8675/117 is 25/70083.