GCF of 158/56, 508/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/56, 508/546 i.e 2/2184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/56, 508/546.
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 158/56,508/546?
Given fractions are 158/56,508/546
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 158/56,508/546, numerators are 158,508
Denominators are 56,546
The GCF of 158,508 is 2 .
LCM of 56,546 is 2184.
The greatest common factor of 158/56,508/546 = [GCF of 158,508]/[LCM of 56,546]= 2/2184
Therefore, the GCF of 158/56,508/546 is 2/2184.
To find the highest common factor of 158,508, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 508 are 1, 2, 4, 127, 254, 508
The HCF of 158,508 is 2.
Lets's calculate GCF of 158,508
| 2 | 158, 508 |
| 79, 254 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 158,508 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 508
:1,2,4,127,254,508
Greatest Common Factor
We found the factors 158,508 . The biggest common factor number is the GCF number.
So the greatest common factor 158,508 is 2.
Lets's calculate LCM of 56,546
| 2 | 56, 546 |
| 7 | 28, 273 |
| 4, 39 |
∴ So the LCM of the given numbers is 2 x 7 x 4 x 39 = 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2184
Therefore, the GCF of Fractions 158/56,508/546 is 2/2184
Least Common Multiple of 56,546 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 56,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,546) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(56,546) x common factors =14 x 1 = 14
LCM(56,546) = ( 56 × 546 ) / 14
LCM(56,546) = 30576 / 14
LCM(56,546) = 2184
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FAQs on GCF of Fractions of 158/56, 508/546
1. What is the HCF of 158,508?
The HCF of 158,508 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 158/56, 508/546?
Answer: GCF of Numerators as per given numbers 158/56, 508/546 is
GCF of Numerators i.e. for 158,508 is 2
LCM of denominators i.e. for 56,546 is 2184.
Thus, GCF of Fractions is 2/2184.Finally, GCF of Fractions for 158/56, 508/546 is 2/2184.