GCF of 283/42, 391/33, 276/78
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 283/42, 391/33, 276/78 i.e 1/6006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/42, 391/33, 276/78.
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 283/42,391/33,276/78?
Given fractions are 283/42,391/33,276/78
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 283/42,391/33,276/78, numerators are 283,391,276
Denominators are 42,33,78
The GCF of 283,391,276 is 1 .
LCM of 42,33,78 is 6006.
The greatest common factor of 283/42,391/33,276/78 = [GCF of 283,391,276]/[LCM of 42,33,78]= 1/6006
Therefore, the GCF of 283/42,391/33,276/78 is 1/6006.
To find the highest common factor of 283,391,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 391 are 1, 17, 23, 391
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 283,391,276 is 1.
Lets's calculate GCF of 283,391,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 283,391,276 By Matching Biggest Common Factor Method
Now, list down the factors of 283
:1,283
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 283,391,276 . The biggest common factor number is the GCF number.
So the greatest common factor 283,391,276 is 1.
Lets's calculate LCM of 42,33,78
| 2 | 42, 33, 78 |
| 3 | 21, 33, 39 |
| 7, 11, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 13 = 6006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006
Therefore, the GCF of Fractions 283/42,391/33,276/78 is 1/6006
Least Common Multiple of 42,33,78 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 42,33,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,33,78) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(42,33,78) x common factors =3 x 6 = 18
LCM(42,33,78) = ( 42 × 33 × 78 ) / 18
LCM(42,33,78) = 108108 / 18
LCM(42,33,78) = 6006
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FAQs on GCF of Fractions of 283/42, 391/33, 276/78
1. What is the HCF of 283,391,276?
The HCF of 283,391,276 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 283/42, 391/33, 276/78?
Answer: GCF of Numerators as per given numbers 283/42, 391/33, 276/78 is
GCF of Numerators i.e. for 283,391,276 is 1
LCM of denominators i.e. for 42,33,78 is 6006.
Thus, GCF of Fractions is 1/6006.Finally, GCF of Fractions for 283/42, 391/33, 276/78 is 1/6006.