GCF of 7286/919, 9554/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7286/919, 9554/5159 i.e 2/4741121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7286/919, 9554/5159.
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 7286/919,9554/5159?
Given fractions are 7286/919,9554/5159
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 7286/919,9554/5159, numerators are 7286,9554
Denominators are 919,5159
The GCF of 7286,9554 is 2 .
LCM of 919,5159 is 4741121.
The greatest common factor of 7286/919,9554/5159 = [GCF of 7286,9554]/[LCM of 919,5159]= 2/4741121
Therefore, the GCF of 7286/919,9554/5159 is 2/4741121.
To find the highest common factor of 7286,9554, we have to find the factors of both numbers and list the highest common factor.
The factors of 7286 are 1, 2, 3643, 7286
The factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554
The HCF of 7286,9554 is 2.
Lets's calculate GCF of 7286,9554
| 2 | 7286, 9554 |
| 3643, 4777 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7286,9554 By Matching Biggest Common Factor Method
Now, list down the factors of 7286
:1,2,3643,7286
Now, list down the factors of 9554
:1,2,17,34,281,562,4777,9554
Greatest Common Factor
We found the factors 7286,9554 . The biggest common factor number is the GCF number.
So the greatest common factor 7286,9554 is 2.
Lets's calculate LCM of 919,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 4741121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4741121
Therefore, the GCF of Fractions 7286/919,9554/5159 is 2/4741121
Least Common Multiple of 919,5159 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 919,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,5159) x common factors =1 x 1 = 1
LCM(919,5159) = ( 919 × 5159 ) / 1
LCM(919,5159) = 4741121 / 1
LCM(919,5159) = 4741121
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FAQs on GCF of Fractions of 7286/919, 9554/5159
1. What is the HCF of 7286,9554?
The HCF of 7286,9554 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 7286/919, 9554/5159?
Answer: GCF of Numerators as per given numbers 7286/919, 9554/5159 is
GCF of Numerators i.e. for 7286,9554 is 2
LCM of denominators i.e. for 919,5159 is 4741121.
Thus, GCF of Fractions is 2/4741121.Finally, GCF of Fractions for 7286/919, 9554/5159 is 2/4741121.