GCF of 9162/424, 7534/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9162/424, 7534/354 i.e 2/75048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9162/424, 7534/354.
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 9162/424,7534/354?
Given fractions are 9162/424,7534/354
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 9162/424,7534/354, numerators are 9162,7534
Denominators are 424,354
The GCF of 9162,7534 is 2 .
LCM of 424,354 is 75048.
The greatest common factor of 9162/424,7534/354 = [GCF of 9162,7534]/[LCM of 424,354]= 2/75048
Therefore, the GCF of 9162/424,7534/354 is 2/75048.
To find the highest common factor of 9162,7534, we have to find the factors of both numbers and list the highest common factor.
The factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
The factors of 7534 are 1, 2, 3767, 7534
The HCF of 9162,7534 is 2.
Lets's calculate GCF of 9162,7534
| 2 | 9162, 7534 |
| 4581, 3767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9162,7534 By Matching Biggest Common Factor Method
Now, list down the factors of 9162
:1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Now, list down the factors of 7534
:1,2,3767,7534
Greatest Common Factor
We found the factors 9162,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 9162,7534 is 2.
Lets's calculate LCM of 424,354
| 2 | 424, 354 |
| 212, 177 |
∴ So the LCM of the given numbers is 2 x 212 x 177 = 75048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75048
Therefore, the GCF of Fractions 9162/424,7534/354 is 2/75048
Least Common Multiple of 424,354 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 424,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,354) x common factors =2 x 1 = 2
LCM(424,354) = ( 424 × 354 ) / 2
LCM(424,354) = 150096 / 2
LCM(424,354) = 75048
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FAQs on GCF of Fractions of 9162/424, 7534/354
1. What is the HCF of 9162,7534?
The HCF of 9162,7534 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 9162/424, 7534/354?
Answer: GCF of Numerators as per given numbers 9162/424, 7534/354 is
GCF of Numerators i.e. for 9162,7534 is 2
LCM of denominators i.e. for 424,354 is 75048.
Thus, GCF of Fractions is 2/75048.Finally, GCF of Fractions for 9162/424, 7534/354 is 2/75048.