GCF of 3467/112, 3855/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3467/112, 3855/2782 i.e 1/155792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3467/112, 3855/2782.
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 3467/112,3855/2782?
Given fractions are 3467/112,3855/2782
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 3467/112,3855/2782, numerators are 3467,3855
Denominators are 112,2782
The GCF of 3467,3855 is 1 .
LCM of 112,2782 is 155792.
The greatest common factor of 3467/112,3855/2782 = [GCF of 3467,3855]/[LCM of 112,2782]= 1/155792
Therefore, the GCF of 3467/112,3855/2782 is 1/155792.
To find the highest common factor of 3467,3855, we have to find the factors of both numbers and list the highest common factor.
The factors of 3467 are 1, 3467
The factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855
The HCF of 3467,3855 is 1.
Lets's calculate GCF of 3467,3855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3467,3855 By Matching Biggest Common Factor Method
Now, list down the factors of 3467
:1,3467
Now, list down the factors of 3855
:1,3,5,15,257,771,1285,3855
Greatest Common Factor
We found the factors 3467,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,3855 is 1.
Lets's calculate LCM of 112,2782
| 2 | 112, 2782 |
| 56, 1391 |
∴ So the LCM of the given numbers is 2 x 56 x 1391 = 155792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155792
Therefore, the GCF of Fractions 3467/112,3855/2782 is 1/155792
Least Common Multiple of 112,2782 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 112,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(112,2782) x common factors =2 x 1 = 2
LCM(112,2782) = ( 112 × 2782 ) / 2
LCM(112,2782) = 311584 / 2
LCM(112,2782) = 155792
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FAQs on GCF of Fractions of 3467/112, 3855/2782
1. What is the HCF of 3467,3855?
The HCF of 3467,3855 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 3467/112, 3855/2782?
Answer: GCF of Numerators as per given numbers 3467/112, 3855/2782 is
GCF of Numerators i.e. for 3467,3855 is 1
LCM of denominators i.e. for 112,2782 is 155792.
Thus, GCF of Fractions is 1/155792.Finally, GCF of Fractions for 3467/112, 3855/2782 is 1/155792.