GCF of 1675/132, 9930/6586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1675/132, 9930/6586 i.e 5/434676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1675/132, 9930/6586.
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 1675/132,9930/6586?
Given fractions are 1675/132,9930/6586
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 1675/132,9930/6586, numerators are 1675,9930
Denominators are 132,6586
The GCF of 1675,9930 is 5 .
LCM of 132,6586 is 434676.
The greatest common factor of 1675/132,9930/6586 = [GCF of 1675,9930]/[LCM of 132,6586]= 5/434676
Therefore, the GCF of 1675/132,9930/6586 is 5/434676.
To find the highest common factor of 1675,9930, we have to find the factors of both numbers and list the highest common factor.
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930
The HCF of 1675,9930 is 5.
Lets's calculate GCF of 1675,9930
| 5 | 1675, 9930 |
| 335, 1986 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1675,9930 By Matching Biggest Common Factor Method
Now, list down the factors of 1675
:1,5,25,67,335,1675
Now, list down the factors of 9930
:1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930
Greatest Common Factor
We found the factors 1675,9930 . The biggest common factor number is the GCF number.
So the greatest common factor 1675,9930 is 5.
Lets's calculate LCM of 132,6586
| 2 | 132, 6586 |
| 66, 3293 |
∴ So the LCM of the given numbers is 2 x 66 x 3293 = 434676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/434676
Therefore, the GCF of Fractions 1675/132,9930/6586 is 5/434676
Least Common Multiple of 132,6586 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 132,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,6586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,6586) x common factors =2 x 1 = 2
LCM(132,6586) = ( 132 × 6586 ) / 2
LCM(132,6586) = 869352 / 2
LCM(132,6586) = 434676
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FAQs on GCF of Fractions of 1675/132, 9930/6586
1. What is the HCF of 1675,9930?
The HCF of 1675,9930 is 5
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 1675/132, 9930/6586?
Answer: GCF of Numerators as per given numbers 1675/132, 9930/6586 is
GCF of Numerators i.e. for 1675,9930 is 5
LCM of denominators i.e. for 132,6586 is 434676.
Thus, GCF of Fractions is 5/434676.Finally, GCF of Fractions for 1675/132, 9930/6586 is 5/434676.