GCF of 1639/925, 8921/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1639/925, 8921/105 i.e 11/19425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1639/925, 8921/105.
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 1639/925,8921/105?
Given fractions are 1639/925,8921/105
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 1639/925,8921/105, numerators are 1639,8921
Denominators are 925,105
The GCF of 1639,8921 is 11 .
LCM of 925,105 is 19425.
The greatest common factor of 1639/925,8921/105 = [GCF of 1639,8921]/[LCM of 925,105]= 11/19425
Therefore, the GCF of 1639/925,8921/105 is 11/19425.
To find the highest common factor of 1639,8921, we have to find the factors of both numbers and list the highest common factor.
The factors of 1639 are 1, 11, 149, 1639
The factors of 8921 are 1, 11, 811, 8921
The HCF of 1639,8921 is 11.
Lets's calculate GCF of 1639,8921
| 11 | 1639, 8921 |
| 149, 811 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1639,8921 By Matching Biggest Common Factor Method
Now, list down the factors of 1639
:1,11,149,1639
Now, list down the factors of 8921
:1,11,811,8921
Greatest Common Factor
We found the factors 1639,8921 . The biggest common factor number is the GCF number.
So the greatest common factor 1639,8921 is 11.
Lets's calculate LCM of 925,105
| 5 | 925, 105 |
| 185, 21 |
∴ So the LCM of the given numbers is 5 x 185 x 21 = 19425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/19425
Therefore, the GCF of Fractions 1639/925,8921/105 is 11/19425
Least Common Multiple of 925,105 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 925,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,105) x common factors =5 x 1 = 5
LCM(925,105) = ( 925 × 105 ) / 5
LCM(925,105) = 97125 / 5
LCM(925,105) = 19425
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FAQs on GCF of Fractions of 1639/925, 8921/105
1. What is the HCF of 1639,8921?
The HCF of 1639,8921 is 11
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 1639/925, 8921/105?
Answer: GCF of Numerators as per given numbers 1639/925, 8921/105 is
GCF of Numerators i.e. for 1639,8921 is 11
LCM of denominators i.e. for 925,105 is 19425.
Thus, GCF of Fractions is 11/19425.Finally, GCF of Fractions for 1639/925, 8921/105 is 11/19425.