GCF of 6945/634, 2584/7798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6945/634, 2584/7798 i.e 1/2471966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6945/634, 2584/7798.
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 6945/634,2584/7798?
Given fractions are 6945/634,2584/7798
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 6945/634,2584/7798, numerators are 6945,2584
Denominators are 634,7798
The GCF of 6945,2584 is 1 .
LCM of 634,7798 is 2471966.
The greatest common factor of 6945/634,2584/7798 = [GCF of 6945,2584]/[LCM of 634,7798]= 1/2471966
Therefore, the GCF of 6945/634,2584/7798 is 1/2471966.
To find the highest common factor of 6945,2584, we have to find the factors of both numbers and list the highest common factor.
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584
The HCF of 6945,2584 is 1.
Lets's calculate GCF of 6945,2584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6945,2584 By Matching Biggest Common Factor Method
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Now, list down the factors of 2584
:1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584
Greatest Common Factor
We found the factors 6945,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 6945,2584 is 1.
Lets's calculate LCM of 634,7798
| 2 | 634, 7798 |
| 317, 3899 |
∴ So the LCM of the given numbers is 2 x 317 x 3899 = 2471966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2471966
Therefore, the GCF of Fractions 6945/634,2584/7798 is 1/2471966
Least Common Multiple of 634,7798 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 634,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,7798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,7798) x common factors =2 x 1 = 2
LCM(634,7798) = ( 634 × 7798 ) / 2
LCM(634,7798) = 4943932 / 2
LCM(634,7798) = 2471966
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FAQs on GCF of Fractions of 6945/634, 2584/7798
1. What is the HCF of 6945,2584?
The HCF of 6945,2584 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 6945/634, 2584/7798?
Answer: GCF of Numerators as per given numbers 6945/634, 2584/7798 is
GCF of Numerators i.e. for 6945,2584 is 1
LCM of denominators i.e. for 634,7798 is 2471966.
Thus, GCF of Fractions is 1/2471966.Finally, GCF of Fractions for 6945/634, 2584/7798 is 1/2471966.