Greatest Common Factor of 209/70, 616/49, 495/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 209/70, 616/49, 495/732

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 209/70,616/49,495/732

Given fractions are 209/70,616/49,495/732

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 209,616,495

Greatest Common Factor of Numerators i.e. GCF of 209,616,495 is 11 .

LCM of Denominators means LCM of 70,49,732 as per the given fractions.

LCM of 70,49,732 is 179340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 209,616,495

GCF of Fractions 209/70,616/49,495/732 is 11/179340

11 209, 616, 495
19, 56, 45

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 209,616,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,616,495 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 209,616,495 . The biggest common factor number is the GCF number.
So the greatest common factor 209,616,495 is 11.

Lets's calculate LCM of 70,49,732

2 70, 49, 732
7 35, 49, 366
5, 7, 366

∴ So the LCM of the given numbers is 2 x 7 x 5 x 7 x 366 = 179340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/179340

Therefore, the GCF of Fractions 209/70,616/49,495/732 is 11/179340

Least Common Multiple of 70,49,732 with GCF Formula

Least Common Multiple of 70,49,732 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 70,49,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,49,732) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,49,732) x common factors =1 x 14 = 14

LCM(70,49,732) = ( 70 × 49 × 732 ) / 14

LCM(70,49,732) = 2510760 / 14

LCM(70,49,732) = 179340


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 209/70, 616/49, 495/732

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 209/70, 616/49, 495/732?

Answer: GCF of Numerators as per given numbers 209/70, 616/49, 495/732 is

GCF of Numerators i.e. for 209,616,495 is 11

LCM of denominators i.e. for 70,49,732 is 179340.

Thus, GCF of Fractions is 11/179340.Finally, GCF of Fractions for 209/70, 616/49, 495/732 is 11/179340.