GCF of 1532/155, 3548/3165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1532/155, 3548/3165 i.e 4/98115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1532/155, 3548/3165.
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 1532/155,3548/3165?
Given fractions are 1532/155,3548/3165
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 1532/155,3548/3165, numerators are 1532,3548
Denominators are 155,3165
The GCF of 1532,3548 is 4 .
LCM of 155,3165 is 98115.
The greatest common factor of 1532/155,3548/3165 = [GCF of 1532,3548]/[LCM of 155,3165]= 4/98115
Therefore, the GCF of 1532/155,3548/3165 is 4/98115.
To find the highest common factor of 1532,3548, we have to find the factors of both numbers and list the highest common factor.
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The factors of 3548 are 1, 2, 4, 887, 1774, 3548
The HCF of 1532,3548 is 4.
Lets's calculate GCF of 1532,3548
| 2 | 1532, 3548 |
| 2 | 766, 1774 |
| 383, 887 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1532,3548 By Matching Biggest Common Factor Method
Now, list down the factors of 1532
:1,2,4,383,766,1532
Now, list down the factors of 3548
:1,2,4,887,1774,3548
Greatest Common Factor
We found the factors 1532,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,3548 is 4.
Lets's calculate LCM of 155,3165
| 5 | 155, 3165 |
| 31, 633 |
∴ So the LCM of the given numbers is 5 x 31 x 633 = 98115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/98115
Therefore, the GCF of Fractions 1532/155,3548/3165 is 4/98115
Least Common Multiple of 155,3165 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 155,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,3165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,3165) x common factors =5 x 1 = 5
LCM(155,3165) = ( 155 × 3165 ) / 5
LCM(155,3165) = 490575 / 5
LCM(155,3165) = 98115
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FAQs on GCF of Fractions of 1532/155, 3548/3165
1. What is the HCF of 1532,3548?
The HCF of 1532,3548 is 4
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 1532/155, 3548/3165?
Answer: GCF of Numerators as per given numbers 1532/155, 3548/3165 is
GCF of Numerators i.e. for 1532,3548 is 4
LCM of denominators i.e. for 155,3165 is 98115.
Thus, GCF of Fractions is 4/98115.Finally, GCF of Fractions for 1532/155, 3548/3165 is 4/98115.