GCF of 888/69, 174/57, 506/76
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 888/69, 174/57, 506/76 i.e 2/5244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/69, 174/57, 506/76.
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 888/69,174/57,506/76?
Given fractions are 888/69,174/57,506/76
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 888/69,174/57,506/76, numerators are 888,174,506
Denominators are 69,57,76
The GCF of 888,174,506 is 2 .
LCM of 69,57,76 is 5244.
The greatest common factor of 888/69,174/57,506/76 = [GCF of 888,174,506]/[LCM of 69,57,76]= 2/5244
Therefore, the GCF of 888/69,174/57,506/76 is 2/5244.
To find the highest common factor of 888,174,506, we have to find the factors of both numbers and list the highest common factor.
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 888,174,506 is 2.
Lets's calculate GCF of 888,174,506
| 2 | 888, 174, 506 |
| 444, 87, 253 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 888,174,506 By Matching Biggest Common Factor Method
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 888,174,506 . The biggest common factor number is the GCF number.
So the greatest common factor 888,174,506 is 2.
Lets's calculate LCM of 69,57,76
| 3 | 69, 57, 76 |
| 19 | 23, 19, 76 |
| 23, 1, 4 |
∴ So the LCM of the given numbers is 3 x 19 x 23 x 1 x 4 = 5244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5244
Therefore, the GCF of Fractions 888/69,174/57,506/76 is 2/5244
Least Common Multiple of 69,57,76 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 69,57,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,57,76) = 1
common factors(in case of two or more numbers have common factors) = 57
GCF(69,57,76) x common factors =1 x 57 = 57
LCM(69,57,76) = ( 69 × 57 × 76 ) / 57
LCM(69,57,76) = 298908 / 57
LCM(69,57,76) = 5244
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FAQs on GCF of Fractions of 888/69, 174/57, 506/76
1. What is the HCF of 888,174,506?
The HCF of 888,174,506 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 888/69, 174/57, 506/76?
Answer: GCF of Numerators as per given numbers 888/69, 174/57, 506/76 is
GCF of Numerators i.e. for 888,174,506 is 2
LCM of denominators i.e. for 69,57,76 is 5244.
Thus, GCF of Fractions is 2/5244.Finally, GCF of Fractions for 888/69, 174/57, 506/76 is 2/5244.