GCF of 4606/916, 5895/7294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4606/916, 5895/7294 i.e 1/3340652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4606/916, 5895/7294.
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 4606/916,5895/7294?
Given fractions are 4606/916,5895/7294
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 4606/916,5895/7294, numerators are 4606,5895
Denominators are 916,7294
The GCF of 4606,5895 is 1 .
LCM of 916,7294 is 3340652.
The greatest common factor of 4606/916,5895/7294 = [GCF of 4606,5895]/[LCM of 916,7294]= 1/3340652
Therefore, the GCF of 4606/916,5895/7294 is 1/3340652.
To find the highest common factor of 4606,5895, we have to find the factors of both numbers and list the highest common factor.
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895
The HCF of 4606,5895 is 1.
Lets's calculate GCF of 4606,5895
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4606,5895 By Matching Biggest Common Factor Method
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Now, list down the factors of 5895
:1,3,5,9,15,45,131,393,655,1179,1965,5895
Greatest Common Factor
We found the factors 4606,5895 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,5895 is 1.
Lets's calculate LCM of 916,7294
| 2 | 916, 7294 |
| 458, 3647 |
∴ So the LCM of the given numbers is 2 x 458 x 3647 = 3340652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3340652
Therefore, the GCF of Fractions 4606/916,5895/7294 is 1/3340652
Least Common Multiple of 916,7294 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 916,7294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,7294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,7294) x common factors =2 x 1 = 2
LCM(916,7294) = ( 916 × 7294 ) / 2
LCM(916,7294) = 6681304 / 2
LCM(916,7294) = 3340652
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4606/916, 5895/7294
1. What is the HCF of 4606,5895?
The HCF of 4606,5895 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 4606/916, 5895/7294?
Answer: GCF of Numerators as per given numbers 4606/916, 5895/7294 is
GCF of Numerators i.e. for 4606,5895 is 1
LCM of denominators i.e. for 916,7294 is 3340652.
Thus, GCF of Fractions is 1/3340652.Finally, GCF of Fractions for 4606/916, 5895/7294 is 1/3340652.