GCF of 155/398, 105/752, 228/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/398, 105/752, 228/708 i.e 1/26487696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/398, 105/752, 228/708.
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 155/398,105/752,228/708?
Given fractions are 155/398,105/752,228/708
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 155/398,105/752,228/708, numerators are 155,105,228
Denominators are 398,752,708
The GCF of 155,105,228 is 1 .
LCM of 398,752,708 is 26487696.
The greatest common factor of 155/398,105/752,228/708 = [GCF of 155,105,228]/[LCM of 398,752,708]= 1/26487696
Therefore, the GCF of 155/398,105/752,228/708 is 1/26487696.
To find the highest common factor of 155,105,228, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 155,105,228 is 1.
Lets's calculate GCF of 155,105,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 155,105,228 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 105
:1,3,5,7,15,21,35,105
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 155,105,228 . The biggest common factor number is the GCF number.
So the greatest common factor 155,105,228 is 1.
Lets's calculate LCM of 398,752,708
| 2 | 398, 752, 708 |
| 2 | 199, 376, 354 |
| 199, 188, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 188 x 177 = 26487696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26487696
Therefore, the GCF of Fractions 155/398,105/752,228/708 is 1/26487696
Least Common Multiple of 398,752,708 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 398,752,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,752,708) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(398,752,708) x common factors =2 x 4 = 8
LCM(398,752,708) = ( 398 × 752 × 708 ) / 8
LCM(398,752,708) = 211901568 / 8
LCM(398,752,708) = 26487696
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FAQs on GCF of Fractions of 155/398, 105/752, 228/708
1. What is the HCF of 155,105,228?
The HCF of 155,105,228 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 155/398, 105/752, 228/708?
Answer: GCF of Numerators as per given numbers 155/398, 105/752, 228/708 is
GCF of Numerators i.e. for 155,105,228 is 1
LCM of denominators i.e. for 398,752,708 is 26487696.
Thus, GCF of Fractions is 1/26487696.Finally, GCF of Fractions for 155/398, 105/752, 228/708 is 1/26487696.