GCF of 899/68, 906/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 899/68, 906/276 i.e 1/4692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/68, 906/276.
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 899/68,906/276?
Given fractions are 899/68,906/276
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 899/68,906/276, numerators are 899,906
Denominators are 68,276
The GCF of 899,906 is 1 .
LCM of 68,276 is 4692.
The greatest common factor of 899/68,906/276 = [GCF of 899,906]/[LCM of 68,276]= 1/4692
Therefore, the GCF of 899/68,906/276 is 1/4692.
To find the highest common factor of 899,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 899 are 1, 29, 31, 899
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 899,906 is 1.
Lets's calculate GCF of 899,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 899,906 By Matching Biggest Common Factor Method
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 899,906 . The biggest common factor number is the GCF number.
So the greatest common factor 899,906 is 1.
Lets's calculate LCM of 68,276
| 2 | 68, 276 |
| 2 | 34, 138 |
| 17, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 69 = 4692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4692
Therefore, the GCF of Fractions 899/68,906/276 is 1/4692
Least Common Multiple of 68,276 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 68,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,276) x common factors =4 x 1 = 4
LCM(68,276) = ( 68 × 276 ) / 4
LCM(68,276) = 18768 / 4
LCM(68,276) = 4692
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FAQs on GCF of Fractions of 899/68, 906/276
1. What is the HCF of 899,906?
The HCF of 899,906 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 899/68, 906/276?
Answer: GCF of Numerators as per given numbers 899/68, 906/276 is
GCF of Numerators i.e. for 899,906 is 1
LCM of denominators i.e. for 68,276 is 4692.
Thus, GCF of Fractions is 1/4692.Finally, GCF of Fractions for 899/68, 906/276 is 1/4692.