GCF of 6753/888, 7143/7694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6753/888, 7143/7694 i.e 3/3416136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6753/888, 7143/7694.
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 6753/888,7143/7694?
Given fractions are 6753/888,7143/7694
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 6753/888,7143/7694, numerators are 6753,7143
Denominators are 888,7694
The GCF of 6753,7143 is 3 .
LCM of 888,7694 is 3416136.
The greatest common factor of 6753/888,7143/7694 = [GCF of 6753,7143]/[LCM of 888,7694]= 3/3416136
Therefore, the GCF of 6753/888,7143/7694 is 3/3416136.
To find the highest common factor of 6753,7143, we have to find the factors of both numbers and list the highest common factor.
The factors of 6753 are 1, 3, 2251, 6753
The factors of 7143 are 1, 3, 2381, 7143
The HCF of 6753,7143 is 3.
Lets's calculate GCF of 6753,7143
| 3 | 6753, 7143 |
| 2251, 2381 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6753,7143 By Matching Biggest Common Factor Method
Now, list down the factors of 6753
:1,3,2251,6753
Now, list down the factors of 7143
:1,3,2381,7143
Greatest Common Factor
We found the factors 6753,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 6753,7143 is 3.
Lets's calculate LCM of 888,7694
| 2 | 888, 7694 |
| 444, 3847 |
∴ So the LCM of the given numbers is 2 x 444 x 3847 = 3416136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3416136
Therefore, the GCF of Fractions 6753/888,7143/7694 is 3/3416136
Least Common Multiple of 888,7694 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 888,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,7694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(888,7694) x common factors =2 x 1 = 2
LCM(888,7694) = ( 888 × 7694 ) / 2
LCM(888,7694) = 6832272 / 2
LCM(888,7694) = 3416136
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FAQs on GCF of Fractions of 6753/888, 7143/7694
1. What is the HCF of 6753,7143?
The HCF of 6753,7143 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 6753/888, 7143/7694?
Answer: GCF of Numerators as per given numbers 6753/888, 7143/7694 is
GCF of Numerators i.e. for 6753,7143 is 3
LCM of denominators i.e. for 888,7694 is 3416136.
Thus, GCF of Fractions is 3/3416136.Finally, GCF of Fractions for 6753/888, 7143/7694 is 3/3416136.