GCF of 8990/746, 3424/3651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8990/746, 3424/3651 i.e 2/2723646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8990/746, 3424/3651.
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 8990/746,3424/3651?
Given fractions are 8990/746,3424/3651
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 8990/746,3424/3651, numerators are 8990,3424
Denominators are 746,3651
The GCF of 8990,3424 is 2 .
LCM of 746,3651 is 2723646.
The greatest common factor of 8990/746,3424/3651 = [GCF of 8990,3424]/[LCM of 746,3651]= 2/2723646
Therefore, the GCF of 8990/746,3424/3651 is 2/2723646.
To find the highest common factor of 8990,3424, we have to find the factors of both numbers and list the highest common factor.
The factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990
The factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424
The HCF of 8990,3424 is 2.
Lets's calculate GCF of 8990,3424
| 2 | 8990, 3424 |
| 4495, 1712 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8990,3424 By Matching Biggest Common Factor Method
Now, list down the factors of 8990
:1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Now, list down the factors of 3424
:1,2,4,8,16,32,107,214,428,856,1712,3424
Greatest Common Factor
We found the factors 8990,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,3424 is 2.
Lets's calculate LCM of 746,3651
Given numbers has no common factors except 1. So, there LCM is their product i.e 2723646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2723646
Therefore, the GCF of Fractions 8990/746,3424/3651 is 2/2723646
Least Common Multiple of 746,3651 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 746,3651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,3651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,3651) x common factors =1 x 1 = 1
LCM(746,3651) = ( 746 × 3651 ) / 1
LCM(746,3651) = 2723646 / 1
LCM(746,3651) = 2723646
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FAQs on GCF of Fractions of 8990/746, 3424/3651
1. What is the HCF of 8990,3424?
The HCF of 8990,3424 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 8990/746, 3424/3651?
Answer: GCF of Numerators as per given numbers 8990/746, 3424/3651 is
GCF of Numerators i.e. for 8990,3424 is 2
LCM of denominators i.e. for 746,3651 is 2723646.
Thus, GCF of Fractions is 2/2723646.Finally, GCF of Fractions for 8990/746, 3424/3651 is 2/2723646.