GCF of 7694/788, 6737/3858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7694/788, 6737/3858 i.e 1/1520052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7694/788, 6737/3858.
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 7694/788,6737/3858?
Given fractions are 7694/788,6737/3858
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 7694/788,6737/3858, numerators are 7694,6737
Denominators are 788,3858
The GCF of 7694,6737 is 1 .
LCM of 788,3858 is 1520052.
The greatest common factor of 7694/788,6737/3858 = [GCF of 7694,6737]/[LCM of 788,3858]= 1/1520052
Therefore, the GCF of 7694/788,6737/3858 is 1/1520052.
To find the highest common factor of 7694,6737, we have to find the factors of both numbers and list the highest common factor.
The factors of 7694 are 1, 2, 3847, 7694
The factors of 6737 are 1, 6737
The HCF of 7694,6737 is 1.
Lets's calculate GCF of 7694,6737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7694,6737 By Matching Biggest Common Factor Method
Now, list down the factors of 7694
:1,2,3847,7694
Now, list down the factors of 6737
:1,6737
Greatest Common Factor
We found the factors 7694,6737 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,6737 is 1.
Lets's calculate LCM of 788,3858
| 2 | 788, 3858 |
| 394, 1929 |
∴ So the LCM of the given numbers is 2 x 394 x 1929 = 1520052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520052
Therefore, the GCF of Fractions 7694/788,6737/3858 is 1/1520052
Least Common Multiple of 788,3858 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 788,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,3858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,3858) x common factors =2 x 1 = 2
LCM(788,3858) = ( 788 × 3858 ) / 2
LCM(788,3858) = 3040104 / 2
LCM(788,3858) = 1520052
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FAQs on GCF of Fractions of 7694/788, 6737/3858
1. What is the HCF of 7694,6737?
The HCF of 7694,6737 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 7694/788, 6737/3858?
Answer: GCF of Numerators as per given numbers 7694/788, 6737/3858 is
GCF of Numerators i.e. for 7694,6737 is 1
LCM of denominators i.e. for 788,3858 is 1520052.
Thus, GCF of Fractions is 1/1520052.Finally, GCF of Fractions for 7694/788, 6737/3858 is 1/1520052.