GCF of 5994/528, 8171/1098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5994/528, 8171/1098 i.e 1/96624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5994/528, 8171/1098.
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 5994/528,8171/1098?
Given fractions are 5994/528,8171/1098
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 5994/528,8171/1098, numerators are 5994,8171
Denominators are 528,1098
The GCF of 5994,8171 is 1 .
LCM of 528,1098 is 96624.
The greatest common factor of 5994/528,8171/1098 = [GCF of 5994,8171]/[LCM of 528,1098]= 1/96624
Therefore, the GCF of 5994/528,8171/1098 is 1/96624.
To find the highest common factor of 5994,8171, we have to find the factors of both numbers and list the highest common factor.
The factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994
The factors of 8171 are 1, 8171
The HCF of 5994,8171 is 1.
Lets's calculate GCF of 5994,8171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5994,8171 By Matching Biggest Common Factor Method
Now, list down the factors of 5994
:1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994
Now, list down the factors of 8171
:1,8171
Greatest Common Factor
We found the factors 5994,8171 . The biggest common factor number is the GCF number.
So the greatest common factor 5994,8171 is 1.
Lets's calculate LCM of 528,1098
| 2 | 528, 1098 |
| 3 | 264, 549 |
| 88, 183 |
∴ So the LCM of the given numbers is 2 x 3 x 88 x 183 = 96624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96624
Therefore, the GCF of Fractions 5994/528,8171/1098 is 1/96624
Least Common Multiple of 528,1098 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 528,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,1098) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(528,1098) x common factors =6 x 1 = 6
LCM(528,1098) = ( 528 × 1098 ) / 6
LCM(528,1098) = 579744 / 6
LCM(528,1098) = 96624
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FAQs on GCF of Fractions of 5994/528, 8171/1098
1. What is the HCF of 5994,8171?
The HCF of 5994,8171 is 1
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 5994/528, 8171/1098?
Answer: GCF of Numerators as per given numbers 5994/528, 8171/1098 is
GCF of Numerators i.e. for 5994,8171 is 1
LCM of denominators i.e. for 528,1098 is 96624.
Thus, GCF of Fractions is 1/96624.Finally, GCF of Fractions for 5994/528, 8171/1098 is 1/96624.