GCF of 6658/528, 3182/6347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6658/528, 3182/6347 i.e 2/304656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/528, 3182/6347.
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 6658/528,3182/6347?
Given fractions are 6658/528,3182/6347
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 6658/528,3182/6347, numerators are 6658,3182
Denominators are 528,6347
The GCF of 6658,3182 is 2 .
LCM of 528,6347 is 304656.
The greatest common factor of 6658/528,3182/6347 = [GCF of 6658,3182]/[LCM of 528,6347]= 2/304656
Therefore, the GCF of 6658/528,3182/6347 is 2/304656.
To find the highest common factor of 6658,3182, we have to find the factors of both numbers and list the highest common factor.
The factors of 6658 are 1, 2, 3329, 6658
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The HCF of 6658,3182 is 2.
Lets's calculate GCF of 6658,3182
| 2 | 6658, 3182 |
| 3329, 1591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6658,3182 By Matching Biggest Common Factor Method
Now, list down the factors of 6658
:1,2,3329,6658
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Greatest Common Factor
We found the factors 6658,3182 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,3182 is 2.
Lets's calculate LCM of 528,6347
| 11 | 528, 6347 |
| 48, 577 |
∴ So the LCM of the given numbers is 11 x 48 x 577 = 304656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/304656
Therefore, the GCF of Fractions 6658/528,3182/6347 is 2/304656
Least Common Multiple of 528,6347 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 528,6347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,6347) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(528,6347) x common factors =11 x 1 = 11
LCM(528,6347) = ( 528 × 6347 ) / 11
LCM(528,6347) = 3351216 / 11
LCM(528,6347) = 304656
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FAQs on GCF of Fractions of 6658/528, 3182/6347
1. What is the HCF of 6658,3182?
The HCF of 6658,3182 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 6658/528, 3182/6347?
Answer: GCF of Numerators as per given numbers 6658/528, 3182/6347 is
GCF of Numerators i.e. for 6658,3182 is 2
LCM of denominators i.e. for 528,6347 is 304656.
Thus, GCF of Fractions is 2/304656.Finally, GCF of Fractions for 6658/528, 3182/6347 is 2/304656.