GCF of 1918/170, 1145/7670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1918/170, 1145/7670 i.e 1/130390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1918/170, 1145/7670.
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 1918/170,1145/7670?
Given fractions are 1918/170,1145/7670
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 1918/170,1145/7670, numerators are 1918,1145
Denominators are 170,7670
The GCF of 1918,1145 is 1 .
LCM of 170,7670 is 130390.
The greatest common factor of 1918/170,1145/7670 = [GCF of 1918,1145]/[LCM of 170,7670]= 1/130390
Therefore, the GCF of 1918/170,1145/7670 is 1/130390.
To find the highest common factor of 1918,1145, we have to find the factors of both numbers and list the highest common factor.
The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918
The factors of 1145 are 1, 5, 229, 1145
The HCF of 1918,1145 is 1.
Lets's calculate GCF of 1918,1145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1918,1145 By Matching Biggest Common Factor Method
Now, list down the factors of 1918
:1,2,7,14,137,274,959,1918
Now, list down the factors of 1145
:1,5,229,1145
Greatest Common Factor
We found the factors 1918,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 1918,1145 is 1.
Lets's calculate LCM of 170,7670
| 2 | 170, 7670 |
| 5 | 85, 3835 |
| 17, 767 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 767 = 130390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130390
Therefore, the GCF of Fractions 1918/170,1145/7670 is 1/130390
Least Common Multiple of 170,7670 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 170,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7670) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7670) x common factors =10 x 1 = 10
LCM(170,7670) = ( 170 × 7670 ) / 10
LCM(170,7670) = 1303900 / 10
LCM(170,7670) = 130390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1918/170, 1145/7670
1. What is the HCF of 1918,1145?
The HCF of 1918,1145 is 1
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 1918/170, 1145/7670?
Answer: GCF of Numerators as per given numbers 1918/170, 1145/7670 is
GCF of Numerators i.e. for 1918,1145 is 1
LCM of denominators i.e. for 170,7670 is 130390.
Thus, GCF of Fractions is 1/130390.Finally, GCF of Fractions for 1918/170, 1145/7670 is 1/130390.