GCF of 886/688, 154/592, 878/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/688, 154/592, 878/544 i.e 2/865504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/688, 154/592, 878/544.
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 886/688,154/592,878/544?
Given fractions are 886/688,154/592,878/544
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 886/688,154/592,878/544, numerators are 886,154,878
Denominators are 688,592,544
The GCF of 886,154,878 is 2 .
LCM of 688,592,544 is 865504.
The greatest common factor of 886/688,154/592,878/544 = [GCF of 886,154,878]/[LCM of 688,592,544]= 2/865504
Therefore, the GCF of 886/688,154/592,878/544 is 2/865504.
To find the highest common factor of 886,154,878, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 878 are 1, 2, 439, 878
The HCF of 886,154,878 is 2.
Lets's calculate GCF of 886,154,878
| 2 | 886, 154, 878 |
| 443, 77, 439 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,154,878 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 878
:1,2,439,878
Greatest Common Factor
We found the factors 886,154,878 . The biggest common factor number is the GCF number.
So the greatest common factor 886,154,878 is 2.
Lets's calculate LCM of 688,592,544
| 2 | 688, 592, 544 |
| 2 | 344, 296, 272 |
| 2 | 172, 148, 136 |
| 2 | 86, 74, 68 |
| 43, 37, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 37 x 34 = 865504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/865504
Therefore, the GCF of Fractions 886/688,154/592,878/544 is 2/865504
Least Common Multiple of 688,592,544 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 688,592,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,592,544) = 16
common factors(in case of two or more numbers have common factors) = 16
GCF(688,592,544) x common factors =16 x 16 = 256
LCM(688,592,544) = ( 688 × 592 × 544 ) / 256
LCM(688,592,544) = 221569024 / 256
LCM(688,592,544) = 865504
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FAQs on GCF of Fractions of 886/688, 154/592, 878/544
1. What is the HCF of 886,154,878?
The HCF of 886,154,878 is 2
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 886/688, 154/592, 878/544?
Answer: GCF of Numerators as per given numbers 886/688, 154/592, 878/544 is
GCF of Numerators i.e. for 886,154,878 is 2
LCM of denominators i.e. for 688,592,544 is 865504.
Thus, GCF of Fractions is 2/865504.Finally, GCF of Fractions for 886/688, 154/592, 878/544 is 2/865504.