GCF of 6574/289, 7090/2326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6574/289, 7090/2326 i.e 2/672214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6574/289, 7090/2326.
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 6574/289,7090/2326?
Given fractions are 6574/289,7090/2326
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 6574/289,7090/2326, numerators are 6574,7090
Denominators are 289,2326
The GCF of 6574,7090 is 2 .
LCM of 289,2326 is 672214.
The greatest common factor of 6574/289,7090/2326 = [GCF of 6574,7090]/[LCM of 289,2326]= 2/672214
Therefore, the GCF of 6574/289,7090/2326 is 2/672214.
To find the highest common factor of 6574,7090, we have to find the factors of both numbers and list the highest common factor.
The factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574
The factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090
The HCF of 6574,7090 is 2.
Lets's calculate GCF of 6574,7090
| 2 | 6574, 7090 |
| 3287, 3545 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6574,7090 By Matching Biggest Common Factor Method
Now, list down the factors of 6574
:1,2,19,38,173,346,3287,6574
Now, list down the factors of 7090
:1,2,5,10,709,1418,3545,7090
Greatest Common Factor
We found the factors 6574,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 6574,7090 is 2.
Lets's calculate LCM of 289,2326
Given numbers has no common factors except 1. So, there LCM is their product i.e 672214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/672214
Therefore, the GCF of Fractions 6574/289,7090/2326 is 2/672214
Least Common Multiple of 289,2326 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 289,2326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,2326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,2326) x common factors =1 x 1 = 1
LCM(289,2326) = ( 289 × 2326 ) / 1
LCM(289,2326) = 672214 / 1
LCM(289,2326) = 672214
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FAQs on GCF of Fractions of 6574/289, 7090/2326
1. What is the HCF of 6574,7090?
The HCF of 6574,7090 is 2
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 6574/289, 7090/2326?
Answer: GCF of Numerators as per given numbers 6574/289, 7090/2326 is
GCF of Numerators i.e. for 6574,7090 is 2
LCM of denominators i.e. for 289,2326 is 672214.
Thus, GCF of Fractions is 2/672214.Finally, GCF of Fractions for 6574/289, 7090/2326 is 2/672214.