GCF of 893/428, 3384/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 893/428, 3384/349 i.e 47/149372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/428, 3384/349.
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 893/428,3384/349?
Given fractions are 893/428,3384/349
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 893/428,3384/349, numerators are 893,3384
Denominators are 428,349
The GCF of 893,3384 is 47 .
LCM of 428,349 is 149372.
The greatest common factor of 893/428,3384/349 = [GCF of 893,3384]/[LCM of 428,349]= 47/149372
Therefore, the GCF of 893/428,3384/349 is 47/149372.
To find the highest common factor of 893,3384, we have to find the factors of both numbers and list the highest common factor.
The factors of 893 are 1, 19, 47, 893
The factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384
The HCF of 893,3384 is 47.
Lets's calculate GCF of 893,3384
| 47 | 893, 3384 |
| 19, 72 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 893,3384 By Matching Biggest Common Factor Method
Now, list down the factors of 893
:1,19,47,893
Now, list down the factors of 3384
:1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Greatest Common Factor
We found the factors 893,3384 . The biggest common factor number is the GCF number.
So the greatest common factor 893,3384 is 47.
Lets's calculate LCM of 428,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 149372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/149372
Therefore, the GCF of Fractions 893/428,3384/349 is 47/149372
Least Common Multiple of 428,349 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 428,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,349) x common factors =1 x 1 = 1
LCM(428,349) = ( 428 × 349 ) / 1
LCM(428,349) = 149372 / 1
LCM(428,349) = 149372
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FAQs on GCF of Fractions of 893/428, 3384/349
1. What is the HCF of 893,3384?
The HCF of 893,3384 is 47
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 893/428, 3384/349?
Answer: GCF of Numerators as per given numbers 893/428, 3384/349 is
GCF of Numerators i.e. for 893,3384 is 47
LCM of denominators i.e. for 428,349 is 149372.
Thus, GCF of Fractions is 47/149372.Finally, GCF of Fractions for 893/428, 3384/349 is 47/149372.