GCF of 973/460, 906/414, 902/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 973/460, 906/414, 902/135 i.e 1/12420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/460, 906/414, 902/135.
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 973/460,906/414,902/135?
Given fractions are 973/460,906/414,902/135
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 973/460,906/414,902/135, numerators are 973,906,902
Denominators are 460,414,135
The GCF of 973,906,902 is 1 .
LCM of 460,414,135 is 12420.
The greatest common factor of 973/460,906/414,902/135 = [GCF of 973,906,902]/[LCM of 460,414,135]= 1/12420
Therefore, the GCF of 973/460,906/414,902/135 is 1/12420.
To find the highest common factor of 973,906,902, we have to find the factors of both numbers and list the highest common factor.
The factors of 973 are 1, 7, 139, 973
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The HCF of 973,906,902 is 1.
Lets's calculate GCF of 973,906,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 973,906,902 By Matching Biggest Common Factor Method
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 973,906,902 . The biggest common factor number is the GCF number.
So the greatest common factor 973,906,902 is 1.
Lets's calculate LCM of 460,414,135
| 2 | 460, 414, 135 |
| 3 | 230, 207, 135 |
| 3 | 230, 69, 45 |
| 5 | 230, 23, 15 |
| 23 | 46, 23, 3 |
| 2, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 23 x 2 x 1 x 3 = 12420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12420
Therefore, the GCF of Fractions 973/460,906/414,902/135 is 1/12420
Least Common Multiple of 460,414,135 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 460,414,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,414,135) = 1
common factors(in case of two or more numbers have common factors) = 2070
GCF(460,414,135) x common factors =1 x 2070 = 2070
LCM(460,414,135) = ( 460 × 414 × 135 ) / 2070
LCM(460,414,135) = 25709400 / 2070
LCM(460,414,135) = 12420
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 973/460, 906/414, 902/135
1. What is the HCF of 973,906,902?
The HCF of 973,906,902 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 973/460, 906/414, 902/135?
Answer: GCF of Numerators as per given numbers 973/460, 906/414, 902/135 is
GCF of Numerators i.e. for 973,906,902 is 1
LCM of denominators i.e. for 460,414,135 is 12420.
Thus, GCF of Fractions is 1/12420.Finally, GCF of Fractions for 973/460, 906/414, 902/135 is 1/12420.