GCF of 6897/952, 6884/4539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6897/952, 6884/4539 i.e 1/254184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6897/952, 6884/4539.
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 6897/952,6884/4539?
Given fractions are 6897/952,6884/4539
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 6897/952,6884/4539, numerators are 6897,6884
Denominators are 952,4539
The GCF of 6897,6884 is 1 .
LCM of 952,4539 is 254184.
The greatest common factor of 6897/952,6884/4539 = [GCF of 6897,6884]/[LCM of 952,4539]= 1/254184
Therefore, the GCF of 6897/952,6884/4539 is 1/254184.
To find the highest common factor of 6897,6884, we have to find the factors of both numbers and list the highest common factor.
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The factors of 6884 are 1, 2, 4, 1721, 3442, 6884
The HCF of 6897,6884 is 1.
Lets's calculate GCF of 6897,6884
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6897,6884 By Matching Biggest Common Factor Method
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Now, list down the factors of 6884
:1,2,4,1721,3442,6884
Greatest Common Factor
We found the factors 6897,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 6897,6884 is 1.
Lets's calculate LCM of 952,4539
| 17 | 952, 4539 |
| 56, 267 |
∴ So the LCM of the given numbers is 17 x 56 x 267 = 254184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254184
Therefore, the GCF of Fractions 6897/952,6884/4539 is 1/254184
Least Common Multiple of 952,4539 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 952,4539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,4539) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(952,4539) x common factors =17 x 1 = 17
LCM(952,4539) = ( 952 × 4539 ) / 17
LCM(952,4539) = 4321128 / 17
LCM(952,4539) = 254184
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FAQs on GCF of Fractions of 6897/952, 6884/4539
1. What is the HCF of 6897,6884?
The HCF of 6897,6884 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 6897/952, 6884/4539?
Answer: GCF of Numerators as per given numbers 6897/952, 6884/4539 is
GCF of Numerators i.e. for 6897,6884 is 1
LCM of denominators i.e. for 952,4539 is 254184.
Thus, GCF of Fractions is 1/254184.Finally, GCF of Fractions for 6897/952, 6884/4539 is 1/254184.