GCF of 1613/524, 9778/1058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1613/524, 9778/1058 i.e 1/277196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1613/524, 9778/1058.
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 1613/524,9778/1058?
Given fractions are 1613/524,9778/1058
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 1613/524,9778/1058, numerators are 1613,9778
Denominators are 524,1058
The GCF of 1613,9778 is 1 .
LCM of 524,1058 is 277196.
The greatest common factor of 1613/524,9778/1058 = [GCF of 1613,9778]/[LCM of 524,1058]= 1/277196
Therefore, the GCF of 1613/524,9778/1058 is 1/277196.
To find the highest common factor of 1613,9778, we have to find the factors of both numbers and list the highest common factor.
The factors of 1613 are 1, 1613
The factors of 9778 are 1, 2, 4889, 9778
The HCF of 1613,9778 is 1.
Lets's calculate GCF of 1613,9778
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1613,9778 By Matching Biggest Common Factor Method
Now, list down the factors of 1613
:1,1613
Now, list down the factors of 9778
:1,2,4889,9778
Greatest Common Factor
We found the factors 1613,9778 . The biggest common factor number is the GCF number.
So the greatest common factor 1613,9778 is 1.
Lets's calculate LCM of 524,1058
| 2 | 524, 1058 |
| 262, 529 |
∴ So the LCM of the given numbers is 2 x 262 x 529 = 277196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277196
Therefore, the GCF of Fractions 1613/524,9778/1058 is 1/277196
Least Common Multiple of 524,1058 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 524,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,1058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,1058) x common factors =2 x 1 = 2
LCM(524,1058) = ( 524 × 1058 ) / 2
LCM(524,1058) = 554392 / 2
LCM(524,1058) = 277196
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FAQs on GCF of Fractions of 1613/524, 9778/1058
1. What is the HCF of 1613,9778?
The HCF of 1613,9778 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 1613/524, 9778/1058?
Answer: GCF of Numerators as per given numbers 1613/524, 9778/1058 is
GCF of Numerators i.e. for 1613,9778 is 1
LCM of denominators i.e. for 524,1058 is 277196.
Thus, GCF of Fractions is 1/277196.Finally, GCF of Fractions for 1613/524, 9778/1058 is 1/277196.