GCF of 942/168, 7550/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 942/168, 7550/402 i.e 2/11256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/168, 7550/402.
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 942/168,7550/402?
Given fractions are 942/168,7550/402
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 942/168,7550/402, numerators are 942,7550
Denominators are 168,402
The GCF of 942,7550 is 2 .
LCM of 168,402 is 11256.
The greatest common factor of 942/168,7550/402 = [GCF of 942,7550]/[LCM of 168,402]= 2/11256
Therefore, the GCF of 942/168,7550/402 is 2/11256.
To find the highest common factor of 942,7550, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550
The HCF of 942,7550 is 2.
Lets's calculate GCF of 942,7550
| 2 | 942, 7550 |
| 471, 3775 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 942,7550 By Matching Biggest Common Factor Method
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 7550
:1,2,5,10,25,50,151,302,755,1510,3775,7550
Greatest Common Factor
We found the factors 942,7550 . The biggest common factor number is the GCF number.
So the greatest common factor 942,7550 is 2.
Lets's calculate LCM of 168,402
| 2 | 168, 402 |
| 3 | 84, 201 |
| 28, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 28 x 67 = 11256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11256
Therefore, the GCF of Fractions 942/168,7550/402 is 2/11256
Least Common Multiple of 168,402 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 168,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(168,402) x common factors =6 x 1 = 6
LCM(168,402) = ( 168 × 402 ) / 6
LCM(168,402) = 67536 / 6
LCM(168,402) = 11256
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 942/168, 7550/402
1. What is the HCF of 942,7550?
The HCF of 942,7550 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 942/168, 7550/402?
Answer: GCF of Numerators as per given numbers 942/168, 7550/402 is
GCF of Numerators i.e. for 942,7550 is 2
LCM of denominators i.e. for 168,402 is 11256.
Thus, GCF of Fractions is 2/11256.Finally, GCF of Fractions for 942/168, 7550/402 is 2/11256.