GCF of 8/76, 56/96, 38/972, 566/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/76, 56/96, 38/972, 566/213 i.e 2/10489824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/76, 56/96, 38/972, 566/213.
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 8/76,56/96,38/972,566/213?
Given fractions are 8/76,56/96,38/972,566/213
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 8/76,56/96,38/972,566/213, numerators are 8,56,38,566
Denominators are 76,96,972,213
The GCF of 8,56,38,566 is 2 .
LCM of 76,96,972,213 is 10489824.
The greatest common factor of 8/76,56/96,38/972,566/213 = [GCF of 8,56,38,566]/[LCM of 76,96,972,213]= 2/10489824
Therefore, the GCF of 8/76,56/96,38/972,566/213 is 2/10489824.
To find the highest common factor of 8,56,38,566, 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 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 38 are 1, 2, 19, 38
The factors of 566 are 1, 2, 283, 566
The HCF of 8,56,38,566 is 2.
Lets's calculate GCF of 8,56,38,566
| 2 | 8, 56, 38, 566 |
| 4, 28, 19, 283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,56,38,566 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 8,56,38,566 . The biggest common factor number is the GCF number.
So the greatest common factor 8,56,38,566 is 2.
Lets's calculate LCM of 76,96,972,213
| 2 | 76, 96, 972, 213 |
| 2 | 38, 48, 486, 213 |
| 3 | 19, 24, 243, 213 |
| 19, 8, 81, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 8 x 81 x 71 = 10489824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10489824
Therefore, the GCF of Fractions 8/76,56/96,38/972,566/213 is 2/10489824
Least Common Multiple of 76,96,972,213 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 76,96,972,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,96,972,213) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(76,96,972,213) x common factors =1 x 144 = 144
LCM(76,96,972,213) = ( 76 × 96 × 972 × 213 ) / 144
LCM(76,96,972,213) = 1510534656 / 144
LCM(76,96,972,213) = 10489824
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FAQs on GCF of Fractions of 8/76, 56/96, 38/972, 566/213
1. What is the HCF of 8,56,38,566?
The HCF of 8,56,38,566 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 8/76, 56/96, 38/972, 566/213?
Answer: GCF of Numerators as per given numbers 8/76, 56/96, 38/972, 566/213 is
GCF of Numerators i.e. for 8,56,38,566 is 2
LCM of denominators i.e. for 76,96,972,213 is 10489824.
Thus, GCF of Fractions is 2/10489824.Finally, GCF of Fractions for 8/76, 56/96, 38/972, 566/213 is 2/10489824.