GCF of 5853/638, 7690/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5853/638, 7690/966 i.e 1/308154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5853/638, 7690/966.
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 5853/638,7690/966?
Given fractions are 5853/638,7690/966
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 5853/638,7690/966, numerators are 5853,7690
Denominators are 638,966
The GCF of 5853,7690 is 1 .
LCM of 638,966 is 308154.
The greatest common factor of 5853/638,7690/966 = [GCF of 5853,7690]/[LCM of 638,966]= 1/308154
Therefore, the GCF of 5853/638,7690/966 is 1/308154.
To find the highest common factor of 5853,7690, we have to find the factors of both numbers and list the highest common factor.
The factors of 5853 are 1, 3, 1951, 5853
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The HCF of 5853,7690 is 1.
Lets's calculate GCF of 5853,7690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5853,7690 By Matching Biggest Common Factor Method
Now, list down the factors of 5853
:1,3,1951,5853
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors 5853,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 5853,7690 is 1.
Lets's calculate LCM of 638,966
| 2 | 638, 966 |
| 319, 483 |
∴ So the LCM of the given numbers is 2 x 319 x 483 = 308154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308154
Therefore, the GCF of Fractions 5853/638,7690/966 is 1/308154
Least Common Multiple of 638,966 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 638,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,966) x common factors =2 x 1 = 2
LCM(638,966) = ( 638 × 966 ) / 2
LCM(638,966) = 616308 / 2
LCM(638,966) = 308154
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FAQs on GCF of Fractions of 5853/638, 7690/966
1. What is the HCF of 5853,7690?
The HCF of 5853,7690 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 5853/638, 7690/966?
Answer: GCF of Numerators as per given numbers 5853/638, 7690/966 is
GCF of Numerators i.e. for 5853,7690 is 1
LCM of denominators i.e. for 638,966 is 308154.
Thus, GCF of Fractions is 1/308154.Finally, GCF of Fractions for 5853/638, 7690/966 is 1/308154.