GCF of 2035/237, 7740/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2035/237, 7740/671 i.e 5/159027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2035/237, 7740/671.
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 2035/237,7740/671?
Given fractions are 2035/237,7740/671
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 2035/237,7740/671, numerators are 2035,7740
Denominators are 237,671
The GCF of 2035,7740 is 5 .
LCM of 237,671 is 159027.
The greatest common factor of 2035/237,7740/671 = [GCF of 2035,7740]/[LCM of 237,671]= 5/159027
Therefore, the GCF of 2035/237,7740/671 is 5/159027.
To find the highest common factor of 2035,7740, we have to find the factors of both numbers and list the highest common factor.
The factors of 2035 are 1, 5, 11, 37, 55, 185, 407, 2035
The factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740
The HCF of 2035,7740 is 5.
Lets's calculate GCF of 2035,7740
| 5 | 2035, 7740 |
| 407, 1548 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2035,7740 By Matching Biggest Common Factor Method
Now, list down the factors of 2035
:1,5,11,37,55,185,407,2035
Now, list down the factors of 7740
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740
Greatest Common Factor
We found the factors 2035,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 2035,7740 is 5.
Lets's calculate LCM of 237,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 159027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/159027
Therefore, the GCF of Fractions 2035/237,7740/671 is 5/159027
Least Common Multiple of 237,671 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 237,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,671) x common factors =1 x 1 = 1
LCM(237,671) = ( 237 × 671 ) / 1
LCM(237,671) = 159027 / 1
LCM(237,671) = 159027
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FAQs on GCF of Fractions of 2035/237, 7740/671
1. What is the HCF of 2035,7740?
The HCF of 2035,7740 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 2035/237, 7740/671?
Answer: GCF of Numerators as per given numbers 2035/237, 7740/671 is
GCF of Numerators i.e. for 2035,7740 is 5
LCM of denominators i.e. for 237,671 is 159027.
Thus, GCF of Fractions is 5/159027.Finally, GCF of Fractions for 2035/237, 7740/671 is 5/159027.