GCF of 7074/570, 8345/3578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7074/570, 8345/3578 i.e 1/1019730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7074/570, 8345/3578.
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 7074/570,8345/3578?
Given fractions are 7074/570,8345/3578
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 7074/570,8345/3578, numerators are 7074,8345
Denominators are 570,3578
The GCF of 7074,8345 is 1 .
LCM of 570,3578 is 1019730.
The greatest common factor of 7074/570,8345/3578 = [GCF of 7074,8345]/[LCM of 570,3578]= 1/1019730
Therefore, the GCF of 7074/570,8345/3578 is 1/1019730.
To find the highest common factor of 7074,8345, we have to find the factors of both numbers and list the highest common factor.
The factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074
The factors of 8345 are 1, 5, 1669, 8345
The HCF of 7074,8345 is 1.
Lets's calculate GCF of 7074,8345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7074,8345 By Matching Biggest Common Factor Method
Now, list down the factors of 7074
:1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Now, list down the factors of 8345
:1,5,1669,8345
Greatest Common Factor
We found the factors 7074,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 7074,8345 is 1.
Lets's calculate LCM of 570,3578
| 2 | 570, 3578 |
| 285, 1789 |
∴ So the LCM of the given numbers is 2 x 285 x 1789 = 1019730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1019730
Therefore, the GCF of Fractions 7074/570,8345/3578 is 1/1019730
Least Common Multiple of 570,3578 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 570,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,3578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,3578) x common factors =2 x 1 = 2
LCM(570,3578) = ( 570 × 3578 ) / 2
LCM(570,3578) = 2039460 / 2
LCM(570,3578) = 1019730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7074/570, 8345/3578
1. What is the HCF of 7074,8345?
The HCF of 7074,8345 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 7074/570, 8345/3578?
Answer: GCF of Numerators as per given numbers 7074/570, 8345/3578 is
GCF of Numerators i.e. for 7074,8345 is 1
LCM of denominators i.e. for 570,3578 is 1019730.
Thus, GCF of Fractions is 1/1019730.Finally, GCF of Fractions for 7074/570, 8345/3578 is 1/1019730.