GCF of 894/55, 7854/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 894/55, 7854/544 i.e 6/29920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/55, 7854/544.
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 894/55,7854/544?
Given fractions are 894/55,7854/544
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 894/55,7854/544, numerators are 894,7854
Denominators are 55,544
The GCF of 894,7854 is 6 .
LCM of 55,544 is 29920.
The greatest common factor of 894/55,7854/544 = [GCF of 894,7854]/[LCM of 55,544]= 6/29920
Therefore, the GCF of 894/55,7854/544 is 6/29920.
To find the highest common factor of 894,7854, we have to find the factors of both numbers and list the highest common factor.
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The HCF of 894,7854 is 6.
Lets's calculate GCF of 894,7854
| 2 | 894, 7854 |
| 3 | 447, 3927 |
| 149, 1309 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 894,7854 By Matching Biggest Common Factor Method
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Greatest Common Factor
We found the factors 894,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 894,7854 is 6.
Lets's calculate LCM of 55,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 29920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/29920
Therefore, the GCF of Fractions 894/55,7854/544 is 6/29920
Least Common Multiple of 55,544 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 55,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,544) x common factors =1 x 1 = 1
LCM(55,544) = ( 55 × 544 ) / 1
LCM(55,544) = 29920 / 1
LCM(55,544) = 29920
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FAQs on GCF of Fractions of 894/55, 7854/544
1. What is the HCF of 894,7854?
The HCF of 894,7854 is 6
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 894/55, 7854/544?
Answer: GCF of Numerators as per given numbers 894/55, 7854/544 is
GCF of Numerators i.e. for 894,7854 is 6
LCM of denominators i.e. for 55,544 is 29920.
Thus, GCF of Fractions is 6/29920.Finally, GCF of Fractions for 894/55, 7854/544 is 6/29920.