GCF of 8/11, 76/32, 16/880, 766/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/11, 76/32, 16/880, 766/696 i.e 2/153120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/11, 76/32, 16/880, 766/696.
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 8/11,76/32,16/880,766/696?
Given fractions are 8/11,76/32,16/880,766/696
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 8/11,76/32,16/880,766/696, numerators are 8,76,16,766
Denominators are 11,32,880,696
The GCF of 8,76,16,766 is 2 .
LCM of 11,32,880,696 is 153120.
The greatest common factor of 8/11,76/32,16/880,766/696 = [GCF of 8,76,16,766]/[LCM of 11,32,880,696]= 2/153120
Therefore, the GCF of 8/11,76/32,16/880,766/696 is 2/153120.
To find the highest common factor of 8,76,16,766, 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 76 are 1, 2, 4, 19, 38, 76
The factors of 16 are 1, 2, 4, 8, 16
The factors of 766 are 1, 2, 383, 766
The HCF of 8,76,16,766 is 2.
Lets's calculate GCF of 8,76,16,766
| 2 | 8, 76, 16, 766 |
| 4, 38, 8, 383 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,76,16,766 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 8,76,16,766 . The biggest common factor number is the GCF number.
So the greatest common factor 8,76,16,766 is 2.
Lets's calculate LCM of 11,32,880,696
| 2 | 11, 32, 880, 696 |
| 2 | 11, 16, 440, 348 |
| 2 | 11, 8, 220, 174 |
| 2 | 11, 4, 110, 87 |
| 11 | 11, 2, 55, 87 |
| 1, 2, 5, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 1 x 2 x 5 x 87 = 153120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153120
Therefore, the GCF of Fractions 8/11,76/32,16/880,766/696 is 2/153120
Least Common Multiple of 11,32,880,696 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 11,32,880,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,32,880,696) = 1
common factors(in case of two or more numbers have common factors) = 1408
GCF(11,32,880,696) x common factors =1 x 1408 = 1408
LCM(11,32,880,696) = ( 11 × 32 × 880 × 696 ) / 1408
LCM(11,32,880,696) = 215592960 / 1408
LCM(11,32,880,696) = 153120
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8/11, 76/32, 16/880, 766/696
1. What is the HCF of 8,76,16,766?
The HCF of 8,76,16,766 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 8/11, 76/32, 16/880, 766/696?
Answer: GCF of Numerators as per given numbers 8/11, 76/32, 16/880, 766/696 is
GCF of Numerators i.e. for 8,76,16,766 is 2
LCM of denominators i.e. for 11,32,880,696 is 153120.
Thus, GCF of Fractions is 2/153120.Finally, GCF of Fractions for 8/11, 76/32, 16/880, 766/696 is 2/153120.