GCF of 8/90, 10/57, 88/243, 752/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/90, 10/57, 88/243, 752/596 i.e 2/13758660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/90, 10/57, 88/243, 752/596.
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 8/90,10/57,88/243,752/596?
Given fractions are 8/90,10/57,88/243,752/596
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 8/90,10/57,88/243,752/596, numerators are 8,10,88,752
Denominators are 90,57,243,596
The GCF of 8,10,88,752 is 2 .
LCM of 90,57,243,596 is 13758660.
The greatest common factor of 8/90,10/57,88/243,752/596 = [GCF of 8,10,88,752]/[LCM of 90,57,243,596]= 2/13758660
Therefore, the GCF of 8/90,10/57,88/243,752/596 is 2/13758660.
To find the highest common factor of 8,10,88,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 10 are 1, 2, 5, 10
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 8,10,88,752 is 2.
Lets's calculate GCF of 8,10,88,752
| 2 | 8, 10, 88, 752 |
| 4, 5, 44, 376 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,10,88,752 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 8,10,88,752 . The biggest common factor number is the GCF number.
So the greatest common factor 8,10,88,752 is 2.
Lets's calculate LCM of 90,57,243,596
| 2 | 90, 57, 243, 596 |
| 3 | 45, 57, 243, 298 |
| 3 | 15, 19, 81, 298 |
| 5, 19, 27, 298 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 19 x 27 x 298 = 13758660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13758660
Therefore, the GCF of Fractions 8/90,10/57,88/243,752/596 is 2/13758660
Least Common Multiple of 90,57,243,596 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 90,57,243,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,57,243,596) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(90,57,243,596) x common factors =1 x 54 = 54
LCM(90,57,243,596) = ( 90 × 57 × 243 × 596 ) / 54
LCM(90,57,243,596) = 742967640 / 54
LCM(90,57,243,596) = 13758660
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8/90, 10/57, 88/243, 752/596
1. What is the HCF of 8,10,88,752?
The HCF of 8,10,88,752 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 8/90, 10/57, 88/243, 752/596?
Answer: GCF of Numerators as per given numbers 8/90, 10/57, 88/243, 752/596 is
GCF of Numerators i.e. for 8,10,88,752 is 2
LCM of denominators i.e. for 90,57,243,596 is 13758660.
Thus, GCF of Fractions is 2/13758660.Finally, GCF of Fractions for 8/90, 10/57, 88/243, 752/596 is 2/13758660.