GCF of 6627/895, 5382/9170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6627/895, 5382/9170 i.e 3/1641430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6627/895, 5382/9170.
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 6627/895,5382/9170?
Given fractions are 6627/895,5382/9170
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 6627/895,5382/9170, numerators are 6627,5382
Denominators are 895,9170
The GCF of 6627,5382 is 3 .
LCM of 895,9170 is 1641430.
The greatest common factor of 6627/895,5382/9170 = [GCF of 6627,5382]/[LCM of 895,9170]= 3/1641430
Therefore, the GCF of 6627/895,5382/9170 is 3/1641430.
To find the highest common factor of 6627,5382, we have to find the factors of both numbers and list the highest common factor.
The factors of 6627 are 1, 3, 47, 141, 2209, 6627
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The HCF of 6627,5382 is 3.
Lets's calculate GCF of 6627,5382
| 3 | 6627, 5382 |
| 2209, 1794 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6627,5382 By Matching Biggest Common Factor Method
Now, list down the factors of 6627
:1,3,47,141,2209,6627
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 6627,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 6627,5382 is 3.
Lets's calculate LCM of 895,9170
| 5 | 895, 9170 |
| 179, 1834 |
∴ So the LCM of the given numbers is 5 x 179 x 1834 = 1641430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1641430
Therefore, the GCF of Fractions 6627/895,5382/9170 is 3/1641430
Least Common Multiple of 895,9170 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 895,9170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,9170) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(895,9170) x common factors =5 x 1 = 5
LCM(895,9170) = ( 895 × 9170 ) / 5
LCM(895,9170) = 8207150 / 5
LCM(895,9170) = 1641430
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6627/895, 5382/9170
1. What is the HCF of 6627,5382?
The HCF of 6627,5382 is 3
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 6627/895, 5382/9170?
Answer: GCF of Numerators as per given numbers 6627/895, 5382/9170 is
GCF of Numerators i.e. for 6627,5382 is 3
LCM of denominators i.e. for 895,9170 is 1641430.
Thus, GCF of Fractions is 3/1641430.Finally, GCF of Fractions for 6627/895, 5382/9170 is 3/1641430.