GCF of 7674/654, 9793/3678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7674/654, 9793/3678 i.e 1/400902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7674/654, 9793/3678.
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 7674/654,9793/3678?
Given fractions are 7674/654,9793/3678
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 7674/654,9793/3678, numerators are 7674,9793
Denominators are 654,3678
The GCF of 7674,9793 is 1 .
LCM of 654,3678 is 400902.
The greatest common factor of 7674/654,9793/3678 = [GCF of 7674,9793]/[LCM of 654,3678]= 1/400902
Therefore, the GCF of 7674/654,9793/3678 is 1/400902.
To find the highest common factor of 7674,9793, we have to find the factors of both numbers and list the highest common factor.
The factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674
The factors of 9793 are 1, 7, 1399, 9793
The HCF of 7674,9793 is 1.
Lets's calculate GCF of 7674,9793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7674,9793 By Matching Biggest Common Factor Method
Now, list down the factors of 7674
:1,2,3,6,1279,2558,3837,7674
Now, list down the factors of 9793
:1,7,1399,9793
Greatest Common Factor
We found the factors 7674,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 7674,9793 is 1.
Lets's calculate LCM of 654,3678
| 2 | 654, 3678 |
| 3 | 327, 1839 |
| 109, 613 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 613 = 400902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400902
Therefore, the GCF of Fractions 7674/654,9793/3678 is 1/400902
Least Common Multiple of 654,3678 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 654,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3678) x common factors =6 x 1 = 6
LCM(654,3678) = ( 654 × 3678 ) / 6
LCM(654,3678) = 2405412 / 6
LCM(654,3678) = 400902
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FAQs on GCF of Fractions of 7674/654, 9793/3678
1. What is the HCF of 7674,9793?
The HCF of 7674,9793 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 7674/654, 9793/3678?
Answer: GCF of Numerators as per given numbers 7674/654, 9793/3678 is
GCF of Numerators i.e. for 7674,9793 is 1
LCM of denominators i.e. for 654,3678 is 400902.
Thus, GCF of Fractions is 1/400902.Finally, GCF of Fractions for 7674/654, 9793/3678 is 1/400902.