GCF of 2492/834, 6262/2388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2492/834, 6262/2388 i.e 2/331932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2492/834, 6262/2388.
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 2492/834,6262/2388?
Given fractions are 2492/834,6262/2388
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 2492/834,6262/2388, numerators are 2492,6262
Denominators are 834,2388
The GCF of 2492,6262 is 2 .
LCM of 834,2388 is 331932.
The greatest common factor of 2492/834,6262/2388 = [GCF of 2492,6262]/[LCM of 834,2388]= 2/331932
Therefore, the GCF of 2492/834,6262/2388 is 2/331932.
To find the highest common factor of 2492,6262, we have to find the factors of both numbers and list the highest common factor.
The factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492
The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262
The HCF of 2492,6262 is 2.
Lets's calculate GCF of 2492,6262
| 2 | 2492, 6262 |
| 1246, 3131 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2492,6262 By Matching Biggest Common Factor Method
Now, list down the factors of 2492
:1,2,4,7,14,28,89,178,356,623,1246,2492
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Greatest Common Factor
We found the factors 2492,6262 . The biggest common factor number is the GCF number.
So the greatest common factor 2492,6262 is 2.
Lets's calculate LCM of 834,2388
| 2 | 834, 2388 |
| 3 | 417, 1194 |
| 139, 398 |
∴ So the LCM of the given numbers is 2 x 3 x 139 x 398 = 331932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/331932
Therefore, the GCF of Fractions 2492/834,6262/2388 is 2/331932
Least Common Multiple of 834,2388 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 834,2388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,2388) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(834,2388) x common factors =6 x 1 = 6
LCM(834,2388) = ( 834 × 2388 ) / 6
LCM(834,2388) = 1991592 / 6
LCM(834,2388) = 331932
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FAQs on GCF of Fractions of 2492/834, 6262/2388
1. What is the HCF of 2492,6262?
The HCF of 2492,6262 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 2492/834, 6262/2388?
Answer: GCF of Numerators as per given numbers 2492/834, 6262/2388 is
GCF of Numerators i.e. for 2492,6262 is 2
LCM of denominators i.e. for 834,2388 is 331932.
Thus, GCF of Fractions is 2/331932.Finally, GCF of Fractions for 2492/834, 6262/2388 is 2/331932.