GCF of 8322/375, 8587/1400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8322/375, 8587/1400 i.e 1/21000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8322/375, 8587/1400.
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 8322/375,8587/1400?
Given fractions are 8322/375,8587/1400
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 8322/375,8587/1400, numerators are 8322,8587
Denominators are 375,1400
The GCF of 8322,8587 is 1 .
LCM of 375,1400 is 21000.
The greatest common factor of 8322/375,8587/1400 = [GCF of 8322,8587]/[LCM of 375,1400]= 1/21000
Therefore, the GCF of 8322/375,8587/1400 is 1/21000.
To find the highest common factor of 8322,8587, we have to find the factors of both numbers and list the highest common factor.
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The factors of 8587 are 1, 31, 277, 8587
The HCF of 8322,8587 is 1.
Lets's calculate GCF of 8322,8587
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8322,8587 By Matching Biggest Common Factor Method
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Now, list down the factors of 8587
:1,31,277,8587
Greatest Common Factor
We found the factors 8322,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,8587 is 1.
Lets's calculate LCM of 375,1400
| 5 | 375, 1400 |
| 5 | 75, 280 |
| 15, 56 |
∴ So the LCM of the given numbers is 5 x 5 x 15 x 56 = 21000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21000
Therefore, the GCF of Fractions 8322/375,8587/1400 is 1/21000
Least Common Multiple of 375,1400 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 375,1400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,1400) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(375,1400) x common factors =25 x 1 = 25
LCM(375,1400) = ( 375 × 1400 ) / 25
LCM(375,1400) = 525000 / 25
LCM(375,1400) = 21000
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FAQs on GCF of Fractions of 8322/375, 8587/1400
1. What is the HCF of 8322,8587?
The HCF of 8322,8587 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 8322/375, 8587/1400?
Answer: GCF of Numerators as per given numbers 8322/375, 8587/1400 is
GCF of Numerators i.e. for 8322,8587 is 1
LCM of denominators i.e. for 375,1400 is 21000.
Thus, GCF of Fractions is 1/21000.Finally, GCF of Fractions for 8322/375, 8587/1400 is 1/21000.