Greatest Common Factor of 898/49, 522/3916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/49, 522/3916

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 898/49,522/3916

Given fractions are 898/49,522/3916

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 898,522

Greatest Common Factor of Numerators i.e. GCF of 898,522 is 2 .

LCM of Denominators means LCM of 49,3916 as per the given fractions.

LCM of 49,3916 is 191884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,522

GCF of Fractions 898/49,522/3916 is 2/191884

2 898, 522
449, 261

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 898,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,522 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 898,522 . The biggest common factor number is the GCF number.
So the greatest common factor 898,522 is 2.

Lets's calculate LCM of 49,3916

Given numbers has no common factors except 1. So, there LCM is their product i.e 191884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191884

Therefore, the GCF of Fractions 898/49,522/3916 is 2/191884

Least Common Multiple of 49,3916 with GCF Formula

Least Common Multiple of 49,3916 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 49,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,3916) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,3916) x common factors =1 x 1 = 1

LCM(49,3916) = ( 49 × 3916 ) / 1

LCM(49,3916) = 191884 / 1

LCM(49,3916) = 191884


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 898/49, 522/3916

1. 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.

2. What is the GCF of Fractions for 898/49, 522/3916?

Answer: GCF of Numerators as per given numbers 898/49, 522/3916 is

GCF of Numerators i.e. for 898,522 is 2

LCM of denominators i.e. for 49,3916 is 191884.

Thus, GCF of Fractions is 2/191884.Finally, GCF of Fractions for 898/49, 522/3916 is 2/191884.