GCF of 4892/674, 5763/7966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4892/674, 5763/7966 i.e 1/2684542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4892/674, 5763/7966.
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 4892/674,5763/7966?
Given fractions are 4892/674,5763/7966
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 4892/674,5763/7966, numerators are 4892,5763
Denominators are 674,7966
The GCF of 4892,5763 is 1 .
LCM of 674,7966 is 2684542.
The greatest common factor of 4892/674,5763/7966 = [GCF of 4892,5763]/[LCM of 674,7966]= 1/2684542
Therefore, the GCF of 4892/674,5763/7966 is 1/2684542.
To find the highest common factor of 4892,5763, we have to find the factors of both numbers and list the highest common factor.
The factors of 4892 are 1, 2, 4, 1223, 2446, 4892
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The HCF of 4892,5763 is 1.
Lets's calculate GCF of 4892,5763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4892,5763 By Matching Biggest Common Factor Method
Now, list down the factors of 4892
:1,2,4,1223,2446,4892
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Greatest Common Factor
We found the factors 4892,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 4892,5763 is 1.
Lets's calculate LCM of 674,7966
| 2 | 674, 7966 |
| 337, 3983 |
∴ So the LCM of the given numbers is 2 x 337 x 3983 = 2684542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2684542
Therefore, the GCF of Fractions 4892/674,5763/7966 is 1/2684542
Least Common Multiple of 674,7966 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 674,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,7966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,7966) x common factors =2 x 1 = 2
LCM(674,7966) = ( 674 × 7966 ) / 2
LCM(674,7966) = 5369084 / 2
LCM(674,7966) = 2684542
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FAQs on GCF of Fractions of 4892/674, 5763/7966
1. What is the HCF of 4892,5763?
The HCF of 4892,5763 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 4892/674, 5763/7966?
Answer: GCF of Numerators as per given numbers 4892/674, 5763/7966 is
GCF of Numerators i.e. for 4892,5763 is 1
LCM of denominators i.e. for 674,7966 is 2684542.
Thus, GCF of Fractions is 1/2684542.Finally, GCF of Fractions for 4892/674, 5763/7966 is 1/2684542.