GCF of 92/52, 92/152, 162/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/52, 92/152, 162/126 i.e 2/124488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/52, 92/152, 162/126.
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 92/52,92/152,162/126?
Given fractions are 92/52,92/152,162/126
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 92/52,92/152,162/126, numerators are 92,92,162
Denominators are 52,152,126
The GCF of 92,92,162 is 2 .
LCM of 52,152,126 is 124488.
The greatest common factor of 92/52,92/152,162/126 = [GCF of 92,92,162]/[LCM of 52,152,126]= 2/124488
Therefore, the GCF of 92/52,92/152,162/126 is 2/124488.
To find the highest common factor of 92,92,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 92,92,162 is 2.
Lets's calculate GCF of 92,92,162
| 2 | 92, 92, 162 |
| 46, 46, 81 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 92,92,162 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 92,92,162 . The biggest common factor number is the GCF number.
So the greatest common factor 92,92,162 is 2.
Lets's calculate LCM of 52,152,126
| 2 | 52, 152, 126 |
| 2 | 26, 76, 63 |
| 13, 38, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 38 x 63 = 124488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124488
Therefore, the GCF of Fractions 92/52,92/152,162/126 is 2/124488
Least Common Multiple of 52,152,126 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 52,152,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,152,126) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(52,152,126) x common factors =2 x 4 = 8
LCM(52,152,126) = ( 52 × 152 × 126 ) / 8
LCM(52,152,126) = 995904 / 8
LCM(52,152,126) = 124488
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FAQs on GCF of Fractions of 92/52, 92/152, 162/126
1. What is the HCF of 92,92,162?
The HCF of 92,92,162 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 92/52, 92/152, 162/126?
Answer: GCF of Numerators as per given numbers 92/52, 92/152, 162/126 is
GCF of Numerators i.e. for 92,92,162 is 2
LCM of denominators i.e. for 52,152,126 is 124488.
Thus, GCF of Fractions is 2/124488.Finally, GCF of Fractions for 92/52, 92/152, 162/126 is 2/124488.