GCF of 9948/372, 4740/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9948/372, 4740/722 i.e 12/134292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9948/372, 4740/722.
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 9948/372,4740/722?
Given fractions are 9948/372,4740/722
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 9948/372,4740/722, numerators are 9948,4740
Denominators are 372,722
The GCF of 9948,4740 is 12 .
LCM of 372,722 is 134292.
The greatest common factor of 9948/372,4740/722 = [GCF of 9948,4740]/[LCM of 372,722]= 12/134292
Therefore, the GCF of 9948/372,4740/722 is 12/134292.
To find the highest common factor of 9948,4740, we have to find the factors of both numbers and list the highest common factor.
The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948
The factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740
The HCF of 9948,4740 is 12.
Lets's calculate GCF of 9948,4740
| 2 | 9948, 4740 |
| 2 | 4974, 2370 |
| 3 | 2487, 1185 |
| 829, 395 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9948,4740 By Matching Biggest Common Factor Method
Now, list down the factors of 9948
:1,2,3,4,6,12,829,1658,2487,3316,4974,9948
Now, list down the factors of 4740
:1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740
Greatest Common Factor
We found the factors 9948,4740 . The biggest common factor number is the GCF number.
So the greatest common factor 9948,4740 is 12.
Lets's calculate LCM of 372,722
| 2 | 372, 722 |
| 186, 361 |
∴ So the LCM of the given numbers is 2 x 186 x 361 = 134292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/134292
Therefore, the GCF of Fractions 9948/372,4740/722 is 12/134292
Least Common Multiple of 372,722 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 372,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,722) x common factors =2 x 1 = 2
LCM(372,722) = ( 372 × 722 ) / 2
LCM(372,722) = 268584 / 2
LCM(372,722) = 134292
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FAQs on GCF of Fractions of 9948/372, 4740/722
1. What is the HCF of 9948,4740?
The HCF of 9948,4740 is 12
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 9948/372, 4740/722?
Answer: GCF of Numerators as per given numbers 9948/372, 4740/722 is
GCF of Numerators i.e. for 9948,4740 is 12
LCM of denominators i.e. for 372,722 is 134292.
Thus, GCF of Fractions is 12/134292.Finally, GCF of Fractions for 9948/372, 4740/722 is 12/134292.