GCF of 8774/398, 4574/4959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8774/398, 4574/4959 i.e 2/1973682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8774/398, 4574/4959.
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 8774/398,4574/4959?
Given fractions are 8774/398,4574/4959
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 8774/398,4574/4959, numerators are 8774,4574
Denominators are 398,4959
The GCF of 8774,4574 is 2 .
LCM of 398,4959 is 1973682.
The greatest common factor of 8774/398,4574/4959 = [GCF of 8774,4574]/[LCM of 398,4959]= 2/1973682
Therefore, the GCF of 8774/398,4574/4959 is 2/1973682.
To find the highest common factor of 8774,4574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The factors of 4574 are 1, 2, 2287, 4574
The HCF of 8774,4574 is 2.
Lets's calculate GCF of 8774,4574
| 2 | 8774, 4574 |
| 4387, 2287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8774,4574 By Matching Biggest Common Factor Method
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Now, list down the factors of 4574
:1,2,2287,4574
Greatest Common Factor
We found the factors 8774,4574 . The biggest common factor number is the GCF number.
So the greatest common factor 8774,4574 is 2.
Lets's calculate LCM of 398,4959
Given numbers has no common factors except 1. So, there LCM is their product i.e 1973682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1973682
Therefore, the GCF of Fractions 8774/398,4574/4959 is 2/1973682
Least Common Multiple of 398,4959 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 398,4959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,4959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,4959) x common factors =1 x 1 = 1
LCM(398,4959) = ( 398 × 4959 ) / 1
LCM(398,4959) = 1973682 / 1
LCM(398,4959) = 1973682
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FAQs on GCF of Fractions of 8774/398, 4574/4959
1. What is the HCF of 8774,4574?
The HCF of 8774,4574 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 8774/398, 4574/4959?
Answer: GCF of Numerators as per given numbers 8774/398, 4574/4959 is
GCF of Numerators i.e. for 8774,4574 is 2
LCM of denominators i.e. for 398,4959 is 1973682.
Thus, GCF of Fractions is 2/1973682.Finally, GCF of Fractions for 8774/398, 4574/4959 is 2/1973682.