GCF of 7422/493, 9602/9552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7422/493, 9602/9552 i.e 2/4709136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7422/493, 9602/9552.
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 7422/493,9602/9552?
Given fractions are 7422/493,9602/9552
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 7422/493,9602/9552, numerators are 7422,9602
Denominators are 493,9552
The GCF of 7422,9602 is 2 .
LCM of 493,9552 is 4709136.
The greatest common factor of 7422/493,9602/9552 = [GCF of 7422,9602]/[LCM of 493,9552]= 2/4709136
Therefore, the GCF of 7422/493,9602/9552 is 2/4709136.
To find the highest common factor of 7422,9602, we have to find the factors of both numbers and list the highest common factor.
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The factors of 9602 are 1, 2, 4801, 9602
The HCF of 7422,9602 is 2.
Lets's calculate GCF of 7422,9602
| 2 | 7422, 9602 |
| 3711, 4801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7422,9602 By Matching Biggest Common Factor Method
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Now, list down the factors of 9602
:1,2,4801,9602
Greatest Common Factor
We found the factors 7422,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,9602 is 2.
Lets's calculate LCM of 493,9552
Given numbers has no common factors except 1. So, there LCM is their product i.e 4709136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4709136
Therefore, the GCF of Fractions 7422/493,9602/9552 is 2/4709136
Least Common Multiple of 493,9552 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 493,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,9552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,9552) x common factors =1 x 1 = 1
LCM(493,9552) = ( 493 × 9552 ) / 1
LCM(493,9552) = 4709136 / 1
LCM(493,9552) = 4709136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7422/493, 9602/9552
1. What is the HCF of 7422,9602?
The HCF of 7422,9602 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 7422/493, 9602/9552?
Answer: GCF of Numerators as per given numbers 7422/493, 9602/9552 is
GCF of Numerators i.e. for 7422,9602 is 2
LCM of denominators i.e. for 493,9552 is 4709136.
Thus, GCF of Fractions is 2/4709136.Finally, GCF of Fractions for 7422/493, 9602/9552 is 2/4709136.