GCF of 1826/746, 7898/6458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1826/746, 7898/6458 i.e 22/2408834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1826/746, 7898/6458.
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 1826/746,7898/6458?
Given fractions are 1826/746,7898/6458
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 1826/746,7898/6458, numerators are 1826,7898
Denominators are 746,6458
The GCF of 1826,7898 is 22 .
LCM of 746,6458 is 2408834.
The greatest common factor of 1826/746,7898/6458 = [GCF of 1826,7898]/[LCM of 746,6458]= 22/2408834
Therefore, the GCF of 1826/746,7898/6458 is 22/2408834.
To find the highest common factor of 1826,7898, we have to find the factors of both numbers and list the highest common factor.
The factors of 1826 are 1, 2, 11, 22, 83, 166, 913, 1826
The factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898
The HCF of 1826,7898 is 22.
Lets's calculate GCF of 1826,7898
| 2 | 1826, 7898 |
| 11 | 913, 3949 |
| 83, 359 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1826,7898 By Matching Biggest Common Factor Method
Now, list down the factors of 1826
:1,2,11,22,83,166,913,1826
Now, list down the factors of 7898
:1,2,11,22,359,718,3949,7898
Greatest Common Factor
We found the factors 1826,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 1826,7898 is 22.
Lets's calculate LCM of 746,6458
| 2 | 746, 6458 |
| 373, 3229 |
∴ So the LCM of the given numbers is 2 x 373 x 3229 = 2408834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2408834
Therefore, the GCF of Fractions 1826/746,7898/6458 is 22/2408834
Least Common Multiple of 746,6458 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 746,6458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,6458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,6458) x common factors =2 x 1 = 2
LCM(746,6458) = ( 746 × 6458 ) / 2
LCM(746,6458) = 4817668 / 2
LCM(746,6458) = 2408834
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1826/746, 7898/6458
1. What is the HCF of 1826,7898?
The HCF of 1826,7898 is 22
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 1826/746, 7898/6458?
Answer: GCF of Numerators as per given numbers 1826/746, 7898/6458 is
GCF of Numerators i.e. for 1826,7898 is 22
LCM of denominators i.e. for 746,6458 is 2408834.
Thus, GCF of Fractions is 22/2408834.Finally, GCF of Fractions for 1826/746, 7898/6458 is 22/2408834.