GCF of 1170/751, 5317/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1170/751, 5317/770 i.e 13/578270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1170/751, 5317/770.
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 1170/751,5317/770?
Given fractions are 1170/751,5317/770
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 1170/751,5317/770, numerators are 1170,5317
Denominators are 751,770
The GCF of 1170,5317 is 13 .
LCM of 751,770 is 578270.
The greatest common factor of 1170/751,5317/770 = [GCF of 1170,5317]/[LCM of 751,770]= 13/578270
Therefore, the GCF of 1170/751,5317/770 is 13/578270.
To find the highest common factor of 1170,5317, we have to find the factors of both numbers and list the highest common factor.
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The factors of 5317 are 1, 13, 409, 5317
The HCF of 1170,5317 is 13.
Lets's calculate GCF of 1170,5317
| 13 | 1170, 5317 |
| 90, 409 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1170,5317 By Matching Biggest Common Factor Method
Now, list down the factors of 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Now, list down the factors of 5317
:1,13,409,5317
Greatest Common Factor
We found the factors 1170,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,5317 is 13.
Lets's calculate LCM of 751,770
Given numbers has no common factors except 1. So, there LCM is their product i.e 578270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/578270
Therefore, the GCF of Fractions 1170/751,5317/770 is 13/578270
Least Common Multiple of 751,770 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 751,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,770) x common factors =1 x 1 = 1
LCM(751,770) = ( 751 × 770 ) / 1
LCM(751,770) = 578270 / 1
LCM(751,770) = 578270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1170/751, 5317/770
1. What is the HCF of 1170,5317?
The HCF of 1170,5317 is 13
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 1170/751, 5317/770?
Answer: GCF of Numerators as per given numbers 1170/751, 5317/770 is
GCF of Numerators i.e. for 1170,5317 is 13
LCM of denominators i.e. for 751,770 is 578270.
Thus, GCF of Fractions is 13/578270.Finally, GCF of Fractions for 1170/751, 5317/770 is 13/578270.