GCF of 96/911, 33/438, 688/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/911, 33/438, 688/750 i.e 1/49877250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/911, 33/438, 688/750.
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 96/911,33/438,688/750?
Given fractions are 96/911,33/438,688/750
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 96/911,33/438,688/750, numerators are 96,33,688
Denominators are 911,438,750
The GCF of 96,33,688 is 1 .
LCM of 911,438,750 is 49877250.
The greatest common factor of 96/911,33/438,688/750 = [GCF of 96,33,688]/[LCM of 911,438,750]= 1/49877250
Therefore, the GCF of 96/911,33/438,688/750 is 1/49877250.
To find the highest common factor of 96,33,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 33 are 1, 3, 11, 33
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 96,33,688 is 1.
Lets's calculate GCF of 96,33,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,33,688 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 96,33,688 . The biggest common factor number is the GCF number.
So the greatest common factor 96,33,688 is 1.
Lets's calculate LCM of 911,438,750
| 2 | 911, 438, 750 |
| 3 | 911, 219, 375 |
| 911, 73, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 911 x 73 x 125 = 49877250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49877250
Therefore, the GCF of Fractions 96/911,33/438,688/750 is 1/49877250
Least Common Multiple of 911,438,750 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 911,438,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,438,750) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(911,438,750) x common factors =1 x 6 = 6
LCM(911,438,750) = ( 911 × 438 × 750 ) / 6
LCM(911,438,750) = 299263500 / 6
LCM(911,438,750) = 49877250
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FAQs on GCF of Fractions of 96/911, 33/438, 688/750
1. What is the HCF of 96,33,688?
The HCF of 96,33,688 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 96/911, 33/438, 688/750?
Answer: GCF of Numerators as per given numbers 96/911, 33/438, 688/750 is
GCF of Numerators i.e. for 96,33,688 is 1
LCM of denominators i.e. for 911,438,750 is 49877250.
Thus, GCF of Fractions is 1/49877250.Finally, GCF of Fractions for 96/911, 33/438, 688/750 is 1/49877250.