GCF of 700/44, 824/27, 308/54
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 700/44, 824/27, 308/54 i.e 4/1188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/44, 824/27, 308/54.
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 700/44,824/27,308/54?
Given fractions are 700/44,824/27,308/54
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 700/44,824/27,308/54, numerators are 700,824,308
Denominators are 44,27,54
The GCF of 700,824,308 is 4 .
LCM of 44,27,54 is 1188.
The greatest common factor of 700/44,824/27,308/54 = [GCF of 700,824,308]/[LCM of 44,27,54]= 4/1188
Therefore, the GCF of 700/44,824/27,308/54 is 4/1188.
To find the highest common factor of 700,824,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 700,824,308 is 4.
Lets's calculate GCF of 700,824,308
| 2 | 700, 824, 308 |
| 2 | 350, 412, 154 |
| 175, 206, 77 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 700,824,308 By Matching Biggest Common Factor Method
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 700,824,308 . The biggest common factor number is the GCF number.
So the greatest common factor 700,824,308 is 4.
Lets's calculate LCM of 44,27,54
| 2 | 44, 27, 54 |
| 3 | 22, 27, 27 |
| 3 | 22, 9, 9 |
| 3 | 22, 3, 3 |
| 22, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 22 x 1 x 1 = 1188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1188
Therefore, the GCF of Fractions 700/44,824/27,308/54 is 4/1188
Least Common Multiple of 44,27,54 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 44,27,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,27,54) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(44,27,54) x common factors =1 x 54 = 54
LCM(44,27,54) = ( 44 × 27 × 54 ) / 54
LCM(44,27,54) = 64152 / 54
LCM(44,27,54) = 1188
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FAQs on GCF of Fractions of 700/44, 824/27, 308/54
1. What is the HCF of 700,824,308?
The HCF of 700,824,308 is 4
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 700/44, 824/27, 308/54?
Answer: GCF of Numerators as per given numbers 700/44, 824/27, 308/54 is
GCF of Numerators i.e. for 700,824,308 is 4
LCM of denominators i.e. for 44,27,54 is 1188.
Thus, GCF of Fractions is 4/1188.Finally, GCF of Fractions for 700/44, 824/27, 308/54 is 4/1188.