GCF of 2668/902, 2285/9626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2668/902, 2285/9626 i.e 1/4341326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2668/902, 2285/9626.
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 2668/902,2285/9626?
Given fractions are 2668/902,2285/9626
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 2668/902,2285/9626, numerators are 2668,2285
Denominators are 902,9626
The GCF of 2668,2285 is 1 .
LCM of 902,9626 is 4341326.
The greatest common factor of 2668/902,2285/9626 = [GCF of 2668,2285]/[LCM of 902,9626]= 1/4341326
Therefore, the GCF of 2668/902,2285/9626 is 1/4341326.
To find the highest common factor of 2668,2285, we have to find the factors of both numbers and list the highest common factor.
The factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668
The factors of 2285 are 1, 5, 457, 2285
The HCF of 2668,2285 is 1.
Lets's calculate GCF of 2668,2285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2668,2285 By Matching Biggest Common Factor Method
Now, list down the factors of 2668
:1,2,4,23,29,46,58,92,116,667,1334,2668
Now, list down the factors of 2285
:1,5,457,2285
Greatest Common Factor
We found the factors 2668,2285 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,2285 is 1.
Lets's calculate LCM of 902,9626
| 2 | 902, 9626 |
| 451, 4813 |
∴ So the LCM of the given numbers is 2 x 451 x 4813 = 4341326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4341326
Therefore, the GCF of Fractions 2668/902,2285/9626 is 1/4341326
Least Common Multiple of 902,9626 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 902,9626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,9626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,9626) x common factors =2 x 1 = 2
LCM(902,9626) = ( 902 × 9626 ) / 2
LCM(902,9626) = 8682652 / 2
LCM(902,9626) = 4341326
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FAQs on GCF of Fractions of 2668/902, 2285/9626
1. What is the HCF of 2668,2285?
The HCF of 2668,2285 is 1
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 2668/902, 2285/9626?
Answer: GCF of Numerators as per given numbers 2668/902, 2285/9626 is
GCF of Numerators i.e. for 2668,2285 is 1
LCM of denominators i.e. for 902,9626 is 4341326.
Thus, GCF of Fractions is 1/4341326.Finally, GCF of Fractions for 2668/902, 2285/9626 is 1/4341326.