GCF of 2568/289, 7882/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2568/289, 7882/974 i.e 2/281486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2568/289, 7882/974.
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 2568/289,7882/974?
Given fractions are 2568/289,7882/974
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 2568/289,7882/974, numerators are 2568,7882
Denominators are 289,974
The GCF of 2568,7882 is 2 .
LCM of 289,974 is 281486.
The greatest common factor of 2568/289,7882/974 = [GCF of 2568,7882]/[LCM of 289,974]= 2/281486
Therefore, the GCF of 2568/289,7882/974 is 2/281486.
To find the highest common factor of 2568,7882, we have to find the factors of both numbers and list the highest common factor.
The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568
The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The HCF of 2568,7882 is 2.
Lets's calculate GCF of 2568,7882
| 2 | 2568, 7882 |
| 1284, 3941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2568,7882 By Matching Biggest Common Factor Method
Now, list down the factors of 2568
:1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Greatest Common Factor
We found the factors 2568,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 2568,7882 is 2.
Lets's calculate LCM of 289,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 281486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/281486
Therefore, the GCF of Fractions 2568/289,7882/974 is 2/281486
Least Common Multiple of 289,974 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 289,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,974) x common factors =1 x 1 = 1
LCM(289,974) = ( 289 × 974 ) / 1
LCM(289,974) = 281486 / 1
LCM(289,974) = 281486
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FAQs on GCF of Fractions of 2568/289, 7882/974
1. What is the HCF of 2568,7882?
The HCF of 2568,7882 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 2568/289, 7882/974?
Answer: GCF of Numerators as per given numbers 2568/289, 7882/974 is
GCF of Numerators i.e. for 2568,7882 is 2
LCM of denominators i.e. for 289,974 is 281486.
Thus, GCF of Fractions is 2/281486.Finally, GCF of Fractions for 2568/289, 7882/974 is 2/281486.