GCF of 835/49, 740/3872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/49, 740/3872 i.e 5/189728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/49, 740/3872.
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 835/49,740/3872?
Given fractions are 835/49,740/3872
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 835/49,740/3872, numerators are 835,740
Denominators are 49,3872
The GCF of 835,740 is 5 .
LCM of 49,3872 is 189728.
The greatest common factor of 835/49,740/3872 = [GCF of 835,740]/[LCM of 49,3872]= 5/189728
Therefore, the GCF of 835/49,740/3872 is 5/189728.
To find the highest common factor of 835,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 835,740 is 5.
Lets's calculate GCF of 835,740
| 5 | 835, 740 |
| 167, 148 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 835,740 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 835,740 . The biggest common factor number is the GCF number.
So the greatest common factor 835,740 is 5.
Lets's calculate LCM of 49,3872
Given numbers has no common factors except 1. So, there LCM is their product i.e 189728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/189728
Therefore, the GCF of Fractions 835/49,740/3872 is 5/189728
Least Common Multiple of 49,3872 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 49,3872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,3872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,3872) x common factors =1 x 1 = 1
LCM(49,3872) = ( 49 × 3872 ) / 1
LCM(49,3872) = 189728 / 1
LCM(49,3872) = 189728
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FAQs on GCF of Fractions of 835/49, 740/3872
1. What is the HCF of 835,740?
The HCF of 835,740 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 835/49, 740/3872?
Answer: GCF of Numerators as per given numbers 835/49, 740/3872 is
GCF of Numerators i.e. for 835,740 is 5
LCM of denominators i.e. for 49,3872 is 189728.
Thus, GCF of Fractions is 5/189728.Finally, GCF of Fractions for 835/49, 740/3872 is 5/189728.