GCF of 3725/850, 7170/7081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3725/850, 7170/7081 i.e 5/6018850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3725/850, 7170/7081.
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 3725/850,7170/7081?
Given fractions are 3725/850,7170/7081
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 3725/850,7170/7081, numerators are 3725,7170
Denominators are 850,7081
The GCF of 3725,7170 is 5 .
LCM of 850,7081 is 6018850.
The greatest common factor of 3725/850,7170/7081 = [GCF of 3725,7170]/[LCM of 850,7081]= 5/6018850
Therefore, the GCF of 3725/850,7170/7081 is 5/6018850.
To find the highest common factor of 3725,7170, we have to find the factors of both numbers and list the highest common factor.
The factors of 3725 are 1, 5, 25, 149, 745, 3725
The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
The HCF of 3725,7170 is 5.
Lets's calculate GCF of 3725,7170
| 5 | 3725, 7170 |
| 745, 1434 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3725,7170 By Matching Biggest Common Factor Method
Now, list down the factors of 3725
:1,5,25,149,745,3725
Now, list down the factors of 7170
:1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Greatest Common Factor
We found the factors 3725,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,7170 is 5.
Lets's calculate LCM of 850,7081
Given numbers has no common factors except 1. So, there LCM is their product i.e 6018850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6018850
Therefore, the GCF of Fractions 3725/850,7170/7081 is 5/6018850
Least Common Multiple of 850,7081 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 850,7081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,7081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,7081) x common factors =1 x 1 = 1
LCM(850,7081) = ( 850 × 7081 ) / 1
LCM(850,7081) = 6018850 / 1
LCM(850,7081) = 6018850
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FAQs on GCF of Fractions of 3725/850, 7170/7081
1. What is the HCF of 3725,7170?
The HCF of 3725,7170 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 3725/850, 7170/7081?
Answer: GCF of Numerators as per given numbers 3725/850, 7170/7081 is
GCF of Numerators i.e. for 3725,7170 is 5
LCM of denominators i.e. for 850,7081 is 6018850.
Thus, GCF of Fractions is 5/6018850.Finally, GCF of Fractions for 3725/850, 7170/7081 is 5/6018850.