GCF of 1527/324, 2166/9870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1527/324, 2166/9870 i.e 3/532980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1527/324, 2166/9870.
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 1527/324,2166/9870?
Given fractions are 1527/324,2166/9870
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 1527/324,2166/9870, numerators are 1527,2166
Denominators are 324,9870
The GCF of 1527,2166 is 3 .
LCM of 324,9870 is 532980.
The greatest common factor of 1527/324,2166/9870 = [GCF of 1527,2166]/[LCM of 324,9870]= 3/532980
Therefore, the GCF of 1527/324,2166/9870 is 3/532980.
To find the highest common factor of 1527,2166, we have to find the factors of both numbers and list the highest common factor.
The factors of 1527 are 1, 3, 509, 1527
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The HCF of 1527,2166 is 3.
Lets's calculate GCF of 1527,2166
| 3 | 1527, 2166 |
| 509, 722 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1527,2166 By Matching Biggest Common Factor Method
Now, list down the factors of 1527
:1,3,509,1527
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Greatest Common Factor
We found the factors 1527,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 1527,2166 is 3.
Lets's calculate LCM of 324,9870
| 2 | 324, 9870 |
| 3 | 162, 4935 |
| 54, 1645 |
∴ So the LCM of the given numbers is 2 x 3 x 54 x 1645 = 532980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/532980
Therefore, the GCF of Fractions 1527/324,2166/9870 is 3/532980
Least Common Multiple of 324,9870 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 324,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,9870) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(324,9870) x common factors =6 x 1 = 6
LCM(324,9870) = ( 324 × 9870 ) / 6
LCM(324,9870) = 3197880 / 6
LCM(324,9870) = 532980
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FAQs on GCF of Fractions of 1527/324, 2166/9870
1. What is the HCF of 1527,2166?
The HCF of 1527,2166 is 3
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 1527/324, 2166/9870?
Answer: GCF of Numerators as per given numbers 1527/324, 2166/9870 is
GCF of Numerators i.e. for 1527,2166 is 3
LCM of denominators i.e. for 324,9870 is 532980.
Thus, GCF of Fractions is 3/532980.Finally, GCF of Fractions for 1527/324, 2166/9870 is 3/532980.