GCF of 7354/893, 9258/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7354/893, 9258/542 i.e 2/484006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7354/893, 9258/542.
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 7354/893,9258/542?
Given fractions are 7354/893,9258/542
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 7354/893,9258/542, numerators are 7354,9258
Denominators are 893,542
The GCF of 7354,9258 is 2 .
LCM of 893,542 is 484006.
The greatest common factor of 7354/893,9258/542 = [GCF of 7354,9258]/[LCM of 893,542]= 2/484006
Therefore, the GCF of 7354/893,9258/542 is 2/484006.
To find the highest common factor of 7354,9258, we have to find the factors of both numbers and list the highest common factor.
The factors of 7354 are 1, 2, 3677, 7354
The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258
The HCF of 7354,9258 is 2.
Lets's calculate GCF of 7354,9258
| 2 | 7354, 9258 |
| 3677, 4629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7354,9258 By Matching Biggest Common Factor Method
Now, list down the factors of 7354
:1,2,3677,7354
Now, list down the factors of 9258
:1,2,3,6,1543,3086,4629,9258
Greatest Common Factor
We found the factors 7354,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 7354,9258 is 2.
Lets's calculate LCM of 893,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 484006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/484006
Therefore, the GCF of Fractions 7354/893,9258/542 is 2/484006
Least Common Multiple of 893,542 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 893,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,542) x common factors =1 x 1 = 1
LCM(893,542) = ( 893 × 542 ) / 1
LCM(893,542) = 484006 / 1
LCM(893,542) = 484006
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FAQs on GCF of Fractions of 7354/893, 9258/542
1. What is the HCF of 7354,9258?
The HCF of 7354,9258 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 7354/893, 9258/542?
Answer: GCF of Numerators as per given numbers 7354/893, 9258/542 is
GCF of Numerators i.e. for 7354,9258 is 2
LCM of denominators i.e. for 893,542 is 484006.
Thus, GCF of Fractions is 2/484006.Finally, GCF of Fractions for 7354/893, 9258/542 is 2/484006.