GCF of 4025/372, 7400/8682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4025/372, 7400/8682 i.e 25/538284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4025/372, 7400/8682.
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 4025/372,7400/8682?
Given fractions are 4025/372,7400/8682
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 4025/372,7400/8682, numerators are 4025,7400
Denominators are 372,8682
The GCF of 4025,7400 is 25 .
LCM of 372,8682 is 538284.
The greatest common factor of 4025/372,7400/8682 = [GCF of 4025,7400]/[LCM of 372,8682]= 25/538284
Therefore, the GCF of 4025/372,7400/8682 is 25/538284.
To find the highest common factor of 4025,7400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The HCF of 4025,7400 is 25.
Lets's calculate GCF of 4025,7400
| 5 | 4025, 7400 |
| 5 | 805, 1480 |
| 161, 296 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4025,7400 By Matching Biggest Common Factor Method
Now, list down the factors of 4025
:1,5,7,23,25,35,115,161,175,575,805,4025
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 4025,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 4025,7400 is 25.
Lets's calculate LCM of 372,8682
| 2 | 372, 8682 |
| 3 | 186, 4341 |
| 62, 1447 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 1447 = 538284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/538284
Therefore, the GCF of Fractions 4025/372,7400/8682 is 25/538284
Least Common Multiple of 372,8682 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 372,8682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,8682) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(372,8682) x common factors =6 x 1 = 6
LCM(372,8682) = ( 372 × 8682 ) / 6
LCM(372,8682) = 3229704 / 6
LCM(372,8682) = 538284
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FAQs on GCF of Fractions of 4025/372, 7400/8682
1. What is the HCF of 4025,7400?
The HCF of 4025,7400 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 4025/372, 7400/8682?
Answer: GCF of Numerators as per given numbers 4025/372, 7400/8682 is
GCF of Numerators i.e. for 4025,7400 is 25
LCM of denominators i.e. for 372,8682 is 538284.
Thus, GCF of Fractions is 25/538284.Finally, GCF of Fractions for 4025/372, 7400/8682 is 25/538284.