GCF of 1680/475, 9188/8505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1680/475, 9188/8505 i.e 4/807975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1680/475, 9188/8505.
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 1680/475,9188/8505?
Given fractions are 1680/475,9188/8505
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 1680/475,9188/8505, numerators are 1680,9188
Denominators are 475,8505
The GCF of 1680,9188 is 4 .
LCM of 475,8505 is 807975.
The greatest common factor of 1680/475,9188/8505 = [GCF of 1680,9188]/[LCM of 475,8505]= 4/807975
Therefore, the GCF of 1680/475,9188/8505 is 4/807975.
To find the highest common factor of 1680,9188, we have to find the factors of both numbers and list the highest common factor.
The factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680
The factors of 9188 are 1, 2, 4, 2297, 4594, 9188
The HCF of 1680,9188 is 4.
Lets's calculate GCF of 1680,9188
| 2 | 1680, 9188 |
| 2 | 840, 4594 |
| 420, 2297 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1680,9188 By Matching Biggest Common Factor Method
Now, list down the factors of 1680
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680
Now, list down the factors of 9188
:1,2,4,2297,4594,9188
Greatest Common Factor
We found the factors 1680,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 1680,9188 is 4.
Lets's calculate LCM of 475,8505
| 5 | 475, 8505 |
| 95, 1701 |
∴ So the LCM of the given numbers is 5 x 95 x 1701 = 807975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/807975
Therefore, the GCF of Fractions 1680/475,9188/8505 is 4/807975
Least Common Multiple of 475,8505 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 475,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,8505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,8505) x common factors =5 x 1 = 5
LCM(475,8505) = ( 475 × 8505 ) / 5
LCM(475,8505) = 4039875 / 5
LCM(475,8505) = 807975
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FAQs on GCF of Fractions of 1680/475, 9188/8505
1. What is the HCF of 1680,9188?
The HCF of 1680,9188 is 4
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 1680/475, 9188/8505?
Answer: GCF of Numerators as per given numbers 1680/475, 9188/8505 is
GCF of Numerators i.e. for 1680,9188 is 4
LCM of denominators i.e. for 475,8505 is 807975.
Thus, GCF of Fractions is 4/807975.Finally, GCF of Fractions for 1680/475, 9188/8505 is 4/807975.