GCF of 4595/128, 3700/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4595/128, 3700/6274 i.e 5/401536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4595/128, 3700/6274.
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 4595/128,3700/6274?
Given fractions are 4595/128,3700/6274
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 4595/128,3700/6274, numerators are 4595,3700
Denominators are 128,6274
The GCF of 4595,3700 is 5 .
LCM of 128,6274 is 401536.
The greatest common factor of 4595/128,3700/6274 = [GCF of 4595,3700]/[LCM of 128,6274]= 5/401536
Therefore, the GCF of 4595/128,3700/6274 is 5/401536.
To find the highest common factor of 4595,3700, we have to find the factors of both numbers and list the highest common factor.
The factors of 4595 are 1, 5, 919, 4595
The factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The HCF of 4595,3700 is 5.
Lets's calculate GCF of 4595,3700
| 5 | 4595, 3700 |
| 919, 740 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4595,3700 By Matching Biggest Common Factor Method
Now, list down the factors of 4595
:1,5,919,4595
Now, list down the factors of 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors 4595,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 4595,3700 is 5.
Lets's calculate LCM of 128,6274
| 2 | 128, 6274 |
| 64, 3137 |
∴ So the LCM of the given numbers is 2 x 64 x 3137 = 401536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/401536
Therefore, the GCF of Fractions 4595/128,3700/6274 is 5/401536
Least Common Multiple of 128,6274 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 128,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6274) x common factors =2 x 1 = 2
LCM(128,6274) = ( 128 × 6274 ) / 2
LCM(128,6274) = 803072 / 2
LCM(128,6274) = 401536
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FAQs on GCF of Fractions of 4595/128, 3700/6274
1. What is the HCF of 4595,3700?
The HCF of 4595,3700 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 4595/128, 3700/6274?
Answer: GCF of Numerators as per given numbers 4595/128, 3700/6274 is
GCF of Numerators i.e. for 4595,3700 is 5
LCM of denominators i.e. for 128,6274 is 401536.
Thus, GCF of Fractions is 5/401536.Finally, GCF of Fractions for 4595/128, 3700/6274 is 5/401536.