GCF of 4885/358, 9212/6409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4885/358, 9212/6409 i.e 1/2294422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4885/358, 9212/6409.
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 4885/358,9212/6409?
Given fractions are 4885/358,9212/6409
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 4885/358,9212/6409, numerators are 4885,9212
Denominators are 358,6409
The GCF of 4885,9212 is 1 .
LCM of 358,6409 is 2294422.
The greatest common factor of 4885/358,9212/6409 = [GCF of 4885,9212]/[LCM of 358,6409]= 1/2294422
Therefore, the GCF of 4885/358,9212/6409 is 1/2294422.
To find the highest common factor of 4885,9212, we have to find the factors of both numbers and list the highest common factor.
The factors of 4885 are 1, 5, 977, 4885
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The HCF of 4885,9212 is 1.
Lets's calculate GCF of 4885,9212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4885,9212 By Matching Biggest Common Factor Method
Now, list down the factors of 4885
:1,5,977,4885
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Greatest Common Factor
We found the factors 4885,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 4885,9212 is 1.
Lets's calculate LCM of 358,6409
Given numbers has no common factors except 1. So, there LCM is their product i.e 2294422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2294422
Therefore, the GCF of Fractions 4885/358,9212/6409 is 1/2294422
Least Common Multiple of 358,6409 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 358,6409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,6409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,6409) x common factors =1 x 1 = 1
LCM(358,6409) = ( 358 × 6409 ) / 1
LCM(358,6409) = 2294422 / 1
LCM(358,6409) = 2294422
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4885/358, 9212/6409
1. What is the HCF of 4885,9212?
The HCF of 4885,9212 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 4885/358, 9212/6409?
Answer: GCF of Numerators as per given numbers 4885/358, 9212/6409 is
GCF of Numerators i.e. for 4885,9212 is 1
LCM of denominators i.e. for 358,6409 is 2294422.
Thus, GCF of Fractions is 1/2294422.Finally, GCF of Fractions for 4885/358, 9212/6409 is 1/2294422.