GCF of 3905/228, 4070/6525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3905/228, 4070/6525 i.e 55/495900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3905/228, 4070/6525.
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 3905/228,4070/6525?
Given fractions are 3905/228,4070/6525
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 3905/228,4070/6525, numerators are 3905,4070
Denominators are 228,6525
The GCF of 3905,4070 is 55 .
LCM of 228,6525 is 495900.
The greatest common factor of 3905/228,4070/6525 = [GCF of 3905,4070]/[LCM of 228,6525]= 55/495900
Therefore, the GCF of 3905/228,4070/6525 is 55/495900.
To find the highest common factor of 3905,4070, we have to find the factors of both numbers and list the highest common factor.
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
The HCF of 3905,4070 is 55.
Lets's calculate GCF of 3905,4070
| 5 | 3905, 4070 |
| 11 | 781, 814 |
| 71, 74 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 3905,4070 By Matching Biggest Common Factor Method
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Now, list down the factors of 4070
:1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Greatest Common Factor
We found the factors 3905,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 3905,4070 is 55.
Lets's calculate LCM of 228,6525
| 3 | 228, 6525 |
| 76, 2175 |
∴ So the LCM of the given numbers is 3 x 76 x 2175 = 495900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/495900
Therefore, the GCF of Fractions 3905/228,4070/6525 is 55/495900
Least Common Multiple of 228,6525 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 228,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,6525) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,6525) x common factors =3 x 1 = 3
LCM(228,6525) = ( 228 × 6525 ) / 3
LCM(228,6525) = 1487700 / 3
LCM(228,6525) = 495900
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FAQs on GCF of Fractions of 3905/228, 4070/6525
1. What is the HCF of 3905,4070?
The HCF of 3905,4070 is 55
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 3905/228, 4070/6525?
Answer: GCF of Numerators as per given numbers 3905/228, 4070/6525 is
GCF of Numerators i.e. for 3905,4070 is 55
LCM of denominators i.e. for 228,6525 is 495900.
Thus, GCF of Fractions is 55/495900.Finally, GCF of Fractions for 3905/228, 4070/6525 is 55/495900.