Greatest Common Factor of 1066/49, 5670/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1066/49, 5670/210

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 1066/49,5670/210

Given fractions are 1066/49,5670/210

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 1066,5670

Greatest Common Factor of Numerators i.e. GCF of 1066,5670 is 2 .

LCM of Denominators means LCM of 49,210 as per the given fractions.

LCM of 49,210 is 1470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1066,5670

GCF of Fractions 1066/49,5670/210 is 2/1470

2 1066, 5670
533, 2835

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

Greatest Common Factor of 1066,5670 By Matching Biggest Common Factor Method

Greatest Common Factor of 1066,5670 By Matching Biggest Common Factor Method

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1,2,13,26,41,82,533,1066

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670

Greatest Common Factor

We found the factors 1066,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 1066,5670 is 2.

Lets's calculate LCM of 49,210

7 49, 210
7, 30

∴ So the LCM of the given numbers is 7 x 7 x 30 = 1470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1470

Therefore, the GCF of Fractions 1066/49,5670/210 is 2/1470

Least Common Multiple of 49,210 with GCF Formula

Least Common Multiple of 49,210 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 49,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,210) = 7

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

GCF(49,210) x common factors =7 x 1 = 7

LCM(49,210) = ( 49 × 210 ) / 7

LCM(49,210) = 10290 / 7

LCM(49,210) = 1470


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 1066/49, 5670/210

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 1066/49, 5670/210?

Answer: GCF of Numerators as per given numbers 1066/49, 5670/210 is

GCF of Numerators i.e. for 1066,5670 is 2

LCM of denominators i.e. for 49,210 is 1470.

Thus, GCF of Fractions is 2/1470.Finally, GCF of Fractions for 1066/49, 5670/210 is 2/1470.