GCF of 370/14, 495/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/14, 495/711 i.e 5/9954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/14, 495/711.
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 370/14,495/711?
Given fractions are 370/14,495/711
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 370/14,495/711, numerators are 370,495
Denominators are 14,711
The GCF of 370,495 is 5 .
LCM of 14,711 is 9954.
The greatest common factor of 370/14,495/711 = [GCF of 370,495]/[LCM of 14,711]= 5/9954
Therefore, the GCF of 370/14,495/711 is 5/9954.
To find the highest common factor of 370,495, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The HCF of 370,495 is 5.
Lets's calculate GCF of 370,495
| 5 | 370, 495 |
| 74, 99 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 370,495 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 370,495 . The biggest common factor number is the GCF number.
So the greatest common factor 370,495 is 5.
Lets's calculate LCM of 14,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 9954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9954
Therefore, the GCF of Fractions 370/14,495/711 is 5/9954
Least Common Multiple of 14,711 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 14,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,711) x common factors =1 x 1 = 1
LCM(14,711) = ( 14 × 711 ) / 1
LCM(14,711) = 9954 / 1
LCM(14,711) = 9954
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FAQs on GCF of Fractions of 370/14, 495/711
1. What is the HCF of 370,495?
The HCF of 370,495 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 370/14, 495/711?
Answer: GCF of Numerators as per given numbers 370/14, 495/711 is
GCF of Numerators i.e. for 370,495 is 5
LCM of denominators i.e. for 14,711 is 9954.
Thus, GCF of Fractions is 5/9954.Finally, GCF of Fractions for 370/14, 495/711 is 5/9954.