GCF of 715/14, 170/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/14, 170/921 i.e 5/12894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/14, 170/921.
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 715/14,170/921?
Given fractions are 715/14,170/921
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 715/14,170/921, numerators are 715,170
Denominators are 14,921
The GCF of 715,170 is 5 .
LCM of 14,921 is 12894.
The greatest common factor of 715/14,170/921 = [GCF of 715,170]/[LCM of 14,921]= 5/12894
Therefore, the GCF of 715/14,170/921 is 5/12894.
To find the highest common factor of 715,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 715,170 is 5.
Lets's calculate GCF of 715,170
| 5 | 715, 170 |
| 143, 34 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 715,170 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 715,170 . The biggest common factor number is the GCF number.
So the greatest common factor 715,170 is 5.
Lets's calculate LCM of 14,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 12894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12894
Therefore, the GCF of Fractions 715/14,170/921 is 5/12894
Least Common Multiple of 14,921 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 14,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,921) x common factors =1 x 1 = 1
LCM(14,921) = ( 14 × 921 ) / 1
LCM(14,921) = 12894 / 1
LCM(14,921) = 12894
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FAQs on GCF of Fractions of 715/14, 170/921
1. What is the HCF of 715,170?
The HCF of 715,170 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 715/14, 170/921?
Answer: GCF of Numerators as per given numbers 715/14, 170/921 is
GCF of Numerators i.e. for 715,170 is 5
LCM of denominators i.e. for 14,921 is 12894.
Thus, GCF of Fractions is 5/12894.Finally, GCF of Fractions for 715/14, 170/921 is 5/12894.