GCF of 7646/357, 9789/2928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7646/357, 9789/2928 i.e 1/348432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7646/357, 9789/2928.
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 7646/357,9789/2928?
Given fractions are 7646/357,9789/2928
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 7646/357,9789/2928, numerators are 7646,9789
Denominators are 357,2928
The GCF of 7646,9789 is 1 .
LCM of 357,2928 is 348432.
The greatest common factor of 7646/357,9789/2928 = [GCF of 7646,9789]/[LCM of 357,2928]= 1/348432
Therefore, the GCF of 7646/357,9789/2928 is 1/348432.
To find the highest common factor of 7646,9789, we have to find the factors of both numbers and list the highest common factor.
The factors of 7646 are 1, 2, 3823, 7646
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The HCF of 7646,9789 is 1.
Lets's calculate GCF of 7646,9789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7646,9789 By Matching Biggest Common Factor Method
Now, list down the factors of 7646
:1,2,3823,7646
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Greatest Common Factor
We found the factors 7646,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 7646,9789 is 1.
Lets's calculate LCM of 357,2928
| 3 | 357, 2928 |
| 119, 976 |
∴ So the LCM of the given numbers is 3 x 119 x 976 = 348432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348432
Therefore, the GCF of Fractions 7646/357,9789/2928 is 1/348432
Least Common Multiple of 357,2928 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 357,2928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,2928) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,2928) x common factors =3 x 1 = 3
LCM(357,2928) = ( 357 × 2928 ) / 3
LCM(357,2928) = 1045296 / 3
LCM(357,2928) = 348432
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FAQs on GCF of Fractions of 7646/357, 9789/2928
1. What is the HCF of 7646,9789?
The HCF of 7646,9789 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 7646/357, 9789/2928?
Answer: GCF of Numerators as per given numbers 7646/357, 9789/2928 is
GCF of Numerators i.e. for 7646,9789 is 1
LCM of denominators i.e. for 357,2928 is 348432.
Thus, GCF of Fractions is 1/348432.Finally, GCF of Fractions for 7646/357, 9789/2928 is 1/348432.