GCF of 3730/735, 3975/9827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3730/735, 3975/9827 i.e 5/7222845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3730/735, 3975/9827.
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 3730/735,3975/9827?
Given fractions are 3730/735,3975/9827
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 3730/735,3975/9827, numerators are 3730,3975
Denominators are 735,9827
The GCF of 3730,3975 is 5 .
LCM of 735,9827 is 7222845.
The greatest common factor of 3730/735,3975/9827 = [GCF of 3730,3975]/[LCM of 735,9827]= 5/7222845
Therefore, the GCF of 3730/735,3975/9827 is 5/7222845.
To find the highest common factor of 3730,3975, we have to find the factors of both numbers and list the highest common factor.
The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The HCF of 3730,3975 is 5.
Lets's calculate GCF of 3730,3975
| 5 | 3730, 3975 |
| 746, 795 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3730,3975 By Matching Biggest Common Factor Method
Now, list down the factors of 3730
:1,2,5,10,373,746,1865,3730
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 3730,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,3975 is 5.
Lets's calculate LCM of 735,9827
Given numbers has no common factors except 1. So, there LCM is their product i.e 7222845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7222845
Therefore, the GCF of Fractions 3730/735,3975/9827 is 5/7222845
Least Common Multiple of 735,9827 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 735,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,9827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,9827) x common factors =1 x 1 = 1
LCM(735,9827) = ( 735 × 9827 ) / 1
LCM(735,9827) = 7222845 / 1
LCM(735,9827) = 7222845
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FAQs on GCF of Fractions of 3730/735, 3975/9827
1. What is the HCF of 3730,3975?
The HCF of 3730,3975 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 3730/735, 3975/9827?
Answer: GCF of Numerators as per given numbers 3730/735, 3975/9827 is
GCF of Numerators i.e. for 3730,3975 is 5
LCM of denominators i.e. for 735,9827 is 7222845.
Thus, GCF of Fractions is 5/7222845.Finally, GCF of Fractions for 3730/735, 3975/9827 is 5/7222845.