GCF of 5990/753, 9294/5690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5990/753, 9294/5690 i.e 2/4284570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5990/753, 9294/5690.
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 5990/753,9294/5690?
Given fractions are 5990/753,9294/5690
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 5990/753,9294/5690, numerators are 5990,9294
Denominators are 753,5690
The GCF of 5990,9294 is 2 .
LCM of 753,5690 is 4284570.
The greatest common factor of 5990/753,9294/5690 = [GCF of 5990,9294]/[LCM of 753,5690]= 2/4284570
Therefore, the GCF of 5990/753,9294/5690 is 2/4284570.
To find the highest common factor of 5990,9294, we have to find the factors of both numbers and list the highest common factor.
The factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The HCF of 5990,9294 is 2.
Lets's calculate GCF of 5990,9294
| 2 | 5990, 9294 |
| 2995, 4647 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5990,9294 By Matching Biggest Common Factor Method
Now, list down the factors of 5990
:1,2,5,10,599,1198,2995,5990
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Greatest Common Factor
We found the factors 5990,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 5990,9294 is 2.
Lets's calculate LCM of 753,5690
Given numbers has no common factors except 1. So, there LCM is their product i.e 4284570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4284570
Therefore, the GCF of Fractions 5990/753,9294/5690 is 2/4284570
Least Common Multiple of 753,5690 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 753,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,5690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,5690) x common factors =1 x 1 = 1
LCM(753,5690) = ( 753 × 5690 ) / 1
LCM(753,5690) = 4284570 / 1
LCM(753,5690) = 4284570
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FAQs on GCF of Fractions of 5990/753, 9294/5690
1. What is the HCF of 5990,9294?
The HCF of 5990,9294 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 5990/753, 9294/5690?
Answer: GCF of Numerators as per given numbers 5990/753, 9294/5690 is
GCF of Numerators i.e. for 5990,9294 is 2
LCM of denominators i.e. for 753,5690 is 4284570.
Thus, GCF of Fractions is 2/4284570.Finally, GCF of Fractions for 5990/753, 9294/5690 is 2/4284570.