GCF of 2682/562, 4208/5274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2682/562, 4208/5274 i.e 2/1481994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2682/562, 4208/5274.
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 2682/562,4208/5274?
Given fractions are 2682/562,4208/5274
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 2682/562,4208/5274, numerators are 2682,4208
Denominators are 562,5274
The GCF of 2682,4208 is 2 .
LCM of 562,5274 is 1481994.
The greatest common factor of 2682/562,4208/5274 = [GCF of 2682,4208]/[LCM of 562,5274]= 2/1481994
Therefore, the GCF of 2682/562,4208/5274 is 2/1481994.
To find the highest common factor of 2682,4208, we have to find the factors of both numbers and list the highest common factor.
The factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 2682,4208 is 2.
Lets's calculate GCF of 2682,4208
| 2 | 2682, 4208 |
| 1341, 2104 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2682,4208 By Matching Biggest Common Factor Method
Now, list down the factors of 2682
:1,2,3,6,9,18,149,298,447,894,1341,2682
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 2682,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 2682,4208 is 2.
Lets's calculate LCM of 562,5274
| 2 | 562, 5274 |
| 281, 2637 |
∴ So the LCM of the given numbers is 2 x 281 x 2637 = 1481994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1481994
Therefore, the GCF of Fractions 2682/562,4208/5274 is 2/1481994
Least Common Multiple of 562,5274 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 562,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,5274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,5274) x common factors =2 x 1 = 2
LCM(562,5274) = ( 562 × 5274 ) / 2
LCM(562,5274) = 2963988 / 2
LCM(562,5274) = 1481994
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FAQs on GCF of Fractions of 2682/562, 4208/5274
1. What is the HCF of 2682,4208?
The HCF of 2682,4208 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 2682/562, 4208/5274?
Answer: GCF of Numerators as per given numbers 2682/562, 4208/5274 is
GCF of Numerators i.e. for 2682,4208 is 2
LCM of denominators i.e. for 562,5274 is 1481994.
Thus, GCF of Fractions is 2/1481994.Finally, GCF of Fractions for 2682/562, 4208/5274 is 2/1481994.