GCF of 3715/961, 7175/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3715/961, 7175/237 i.e 5/227757 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3715/961, 7175/237.
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 3715/961,7175/237?
Given fractions are 3715/961,7175/237
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 3715/961,7175/237, numerators are 3715,7175
Denominators are 961,237
The GCF of 3715,7175 is 5 .
LCM of 961,237 is 227757.
The greatest common factor of 3715/961,7175/237 = [GCF of 3715,7175]/[LCM of 961,237]= 5/227757
Therefore, the GCF of 3715/961,7175/237 is 5/227757.
To find the highest common factor of 3715,7175, we have to find the factors of both numbers and list the highest common factor.
The factors of 3715 are 1, 5, 743, 3715
The factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175
The HCF of 3715,7175 is 5.
Lets's calculate GCF of 3715,7175
| 5 | 3715, 7175 |
| 743, 1435 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3715,7175 By Matching Biggest Common Factor Method
Now, list down the factors of 3715
:1,5,743,3715
Now, list down the factors of 7175
:1,5,7,25,35,41,175,205,287,1025,1435,7175
Greatest Common Factor
We found the factors 3715,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 3715,7175 is 5.
Lets's calculate LCM of 961,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 227757
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/227757
Therefore, the GCF of Fractions 3715/961,7175/237 is 5/227757
Least Common Multiple of 961,237 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 961,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,237) x common factors =1 x 1 = 1
LCM(961,237) = ( 961 × 237 ) / 1
LCM(961,237) = 227757 / 1
LCM(961,237) = 227757
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FAQs on GCF of Fractions of 3715/961, 7175/237
1. What is the HCF of 3715,7175?
The HCF of 3715,7175 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 3715/961, 7175/237?
Answer: GCF of Numerators as per given numbers 3715/961, 7175/237 is
GCF of Numerators i.e. for 3715,7175 is 5
LCM of denominators i.e. for 961,237 is 227757.
Thus, GCF of Fractions is 5/227757.Finally, GCF of Fractions for 3715/961, 7175/237 is 5/227757.