GCF of 6683/895, 6372/8319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6683/895, 6372/8319 i.e 1/7445505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6683/895, 6372/8319.
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 6683/895,6372/8319?
Given fractions are 6683/895,6372/8319
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 6683/895,6372/8319, numerators are 6683,6372
Denominators are 895,8319
The GCF of 6683,6372 is 1 .
LCM of 895,8319 is 7445505.
The greatest common factor of 6683/895,6372/8319 = [GCF of 6683,6372]/[LCM of 895,8319]= 1/7445505
Therefore, the GCF of 6683/895,6372/8319 is 1/7445505.
To find the highest common factor of 6683,6372, we have to find the factors of both numbers and list the highest common factor.
The factors of 6683 are 1, 41, 163, 6683
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The HCF of 6683,6372 is 1.
Lets's calculate GCF of 6683,6372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6683,6372 By Matching Biggest Common Factor Method
Now, list down the factors of 6683
:1,41,163,6683
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Greatest Common Factor
We found the factors 6683,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 6683,6372 is 1.
Lets's calculate LCM of 895,8319
Given numbers has no common factors except 1. So, there LCM is their product i.e 7445505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7445505
Therefore, the GCF of Fractions 6683/895,6372/8319 is 1/7445505
Least Common Multiple of 895,8319 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 895,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,8319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,8319) x common factors =1 x 1 = 1
LCM(895,8319) = ( 895 × 8319 ) / 1
LCM(895,8319) = 7445505 / 1
LCM(895,8319) = 7445505
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FAQs on GCF of Fractions of 6683/895, 6372/8319
1. What is the HCF of 6683,6372?
The HCF of 6683,6372 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 6683/895, 6372/8319?
Answer: GCF of Numerators as per given numbers 6683/895, 6372/8319 is
GCF of Numerators i.e. for 6683,6372 is 1
LCM of denominators i.e. for 895,8319 is 7445505.
Thus, GCF of Fractions is 1/7445505.Finally, GCF of Fractions for 6683/895, 6372/8319 is 1/7445505.