GCF of 747/606, 8632/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/606, 8632/960 i.e 83/96960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/606, 8632/960.
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 747/606,8632/960?
Given fractions are 747/606,8632/960
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 747/606,8632/960, numerators are 747,8632
Denominators are 606,960
The GCF of 747,8632 is 83 .
LCM of 606,960 is 96960.
The greatest common factor of 747/606,8632/960 = [GCF of 747,8632]/[LCM of 606,960]= 83/96960
Therefore, the GCF of 747/606,8632/960 is 83/96960.
To find the highest common factor of 747,8632, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 747,8632 is 83.
Lets's calculate GCF of 747,8632
| 83 | 747, 8632 |
| 9, 104 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 747,8632 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Greatest Common Factor
We found the factors 747,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 747,8632 is 83.
Lets's calculate LCM of 606,960
| 2 | 606, 960 |
| 3 | 303, 480 |
| 101, 160 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 160 = 96960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/96960
Therefore, the GCF of Fractions 747/606,8632/960 is 83/96960
Least Common Multiple of 606,960 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 606,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,960) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,960) x common factors =6 x 1 = 6
LCM(606,960) = ( 606 × 960 ) / 6
LCM(606,960) = 581760 / 6
LCM(606,960) = 96960
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FAQs on GCF of Fractions of 747/606, 8632/960
1. What is the HCF of 747,8632?
The HCF of 747,8632 is 83
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 747/606, 8632/960?
Answer: GCF of Numerators as per given numbers 747/606, 8632/960 is
GCF of Numerators i.e. for 747,8632 is 83
LCM of denominators i.e. for 606,960 is 96960.
Thus, GCF of Fractions is 83/96960.Finally, GCF of Fractions for 747/606, 8632/960 is 83/96960.