GCF of 2294/804, 7438/2598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2294/804, 7438/2598 i.e 2/348132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2294/804, 7438/2598.
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 2294/804,7438/2598?
Given fractions are 2294/804,7438/2598
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 2294/804,7438/2598, numerators are 2294,7438
Denominators are 804,2598
The GCF of 2294,7438 is 2 .
LCM of 804,2598 is 348132.
The greatest common factor of 2294/804,7438/2598 = [GCF of 2294,7438]/[LCM of 804,2598]= 2/348132
Therefore, the GCF of 2294/804,7438/2598 is 2/348132.
To find the highest common factor of 2294,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2294 are 1, 2, 31, 37, 62, 74, 1147, 2294
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 2294,7438 is 2.
Lets's calculate GCF of 2294,7438
| 2 | 2294, 7438 |
| 1147, 3719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2294,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 2294
:1,2,31,37,62,74,1147,2294
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 2294,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 2294,7438 is 2.
Lets's calculate LCM of 804,2598
| 2 | 804, 2598 |
| 3 | 402, 1299 |
| 134, 433 |
∴ So the LCM of the given numbers is 2 x 3 x 134 x 433 = 348132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/348132
Therefore, the GCF of Fractions 2294/804,7438/2598 is 2/348132
Least Common Multiple of 804,2598 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 804,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,2598) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(804,2598) x common factors =6 x 1 = 6
LCM(804,2598) = ( 804 × 2598 ) / 6
LCM(804,2598) = 2088792 / 6
LCM(804,2598) = 348132
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FAQs on GCF of Fractions of 2294/804, 7438/2598
1. What is the HCF of 2294,7438?
The HCF of 2294,7438 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 2294/804, 7438/2598?
Answer: GCF of Numerators as per given numbers 2294/804, 7438/2598 is
GCF of Numerators i.e. for 2294,7438 is 2
LCM of denominators i.e. for 804,2598 is 348132.
Thus, GCF of Fractions is 2/348132.Finally, GCF of Fractions for 2294/804, 7438/2598 is 2/348132.