GCF of 7648/840, 7797/3476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7648/840, 7797/3476 i.e 1/729960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7648/840, 7797/3476.
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 7648/840,7797/3476?
Given fractions are 7648/840,7797/3476
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 7648/840,7797/3476, numerators are 7648,7797
Denominators are 840,3476
The GCF of 7648,7797 is 1 .
LCM of 840,3476 is 729960.
The greatest common factor of 7648/840,7797/3476 = [GCF of 7648,7797]/[LCM of 840,3476]= 1/729960
Therefore, the GCF of 7648/840,7797/3476 is 1/729960.
To find the highest common factor of 7648,7797, we have to find the factors of both numbers and list the highest common factor.
The factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648
The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797
The HCF of 7648,7797 is 1.
Lets's calculate GCF of 7648,7797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7648,7797 By Matching Biggest Common Factor Method
Now, list down the factors of 7648
:1,2,4,8,16,32,239,478,956,1912,3824,7648
Now, list down the factors of 7797
:1,3,23,69,113,339,2599,7797
Greatest Common Factor
We found the factors 7648,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 7648,7797 is 1.
Lets's calculate LCM of 840,3476
| 2 | 840, 3476 |
| 2 | 420, 1738 |
| 210, 869 |
∴ So the LCM of the given numbers is 2 x 2 x 210 x 869 = 729960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729960
Therefore, the GCF of Fractions 7648/840,7797/3476 is 1/729960
Least Common Multiple of 840,3476 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 840,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,3476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(840,3476) x common factors =4 x 1 = 4
LCM(840,3476) = ( 840 × 3476 ) / 4
LCM(840,3476) = 2919840 / 4
LCM(840,3476) = 729960
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FAQs on GCF of Fractions of 7648/840, 7797/3476
1. What is the HCF of 7648,7797?
The HCF of 7648,7797 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 7648/840, 7797/3476?
Answer: GCF of Numerators as per given numbers 7648/840, 7797/3476 is
GCF of Numerators i.e. for 7648,7797 is 1
LCM of denominators i.e. for 840,3476 is 729960.
Thus, GCF of Fractions is 1/729960.Finally, GCF of Fractions for 7648/840, 7797/3476 is 1/729960.