GCF of 5872/303, 2662/8334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5872/303, 2662/8334 i.e 2/841734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5872/303, 2662/8334.
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 5872/303,2662/8334?
Given fractions are 5872/303,2662/8334
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 5872/303,2662/8334, numerators are 5872,2662
Denominators are 303,8334
The GCF of 5872,2662 is 2 .
LCM of 303,8334 is 841734.
The greatest common factor of 5872/303,2662/8334 = [GCF of 5872,2662]/[LCM of 303,8334]= 2/841734
Therefore, the GCF of 5872/303,2662/8334 is 2/841734.
To find the highest common factor of 5872,2662, we have to find the factors of both numbers and list the highest common factor.
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662
The HCF of 5872,2662 is 2.
Lets's calculate GCF of 5872,2662
| 2 | 5872, 2662 |
| 2936, 1331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5872,2662 By Matching Biggest Common Factor Method
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Now, list down the factors of 2662
:1,2,11,22,121,242,1331,2662
Greatest Common Factor
We found the factors 5872,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,2662 is 2.
Lets's calculate LCM of 303,8334
| 3 | 303, 8334 |
| 101, 2778 |
∴ So the LCM of the given numbers is 3 x 101 x 2778 = 841734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/841734
Therefore, the GCF of Fractions 5872/303,2662/8334 is 2/841734
Least Common Multiple of 303,8334 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 303,8334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,8334) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,8334) x common factors =3 x 1 = 3
LCM(303,8334) = ( 303 × 8334 ) / 3
LCM(303,8334) = 2525202 / 3
LCM(303,8334) = 841734
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FAQs on GCF of Fractions of 5872/303, 2662/8334
1. What is the HCF of 5872,2662?
The HCF of 5872,2662 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 5872/303, 2662/8334?
Answer: GCF of Numerators as per given numbers 5872/303, 2662/8334 is
GCF of Numerators i.e. for 5872,2662 is 2
LCM of denominators i.e. for 303,8334 is 841734.
Thus, GCF of Fractions is 2/841734.Finally, GCF of Fractions for 5872/303, 2662/8334 is 2/841734.