Greatest Common Factor of 1450/22, 6910/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1450/22, 6910/490

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 1450/22,6910/490

Given fractions are 1450/22,6910/490

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 1450,6910

Greatest Common Factor of Numerators i.e. GCF of 1450,6910 is 10 .

LCM of Denominators means LCM of 22,490 as per the given fractions.

LCM of 22,490 is 5390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1450,6910

GCF of Fractions 1450/22,6910/490 is 10/5390

2 1450, 6910
5 725, 3455
145, 691

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1450,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 1450,6910 By Matching Biggest Common Factor Method

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1,2,5,10,25,29,50,58,145,290,725,1450

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 1450,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,6910 is 10.

Lets's calculate LCM of 22,490

2 22, 490
11, 245

∴ So the LCM of the given numbers is 2 x 11 x 245 = 5390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5390

Therefore, the GCF of Fractions 1450/22,6910/490 is 10/5390

Least Common Multiple of 22,490 with GCF Formula

Least Common Multiple of 22,490 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 22,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,490) = 2

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

GCF(22,490) x common factors =2 x 1 = 2

LCM(22,490) = ( 22 × 490 ) / 2

LCM(22,490) = 10780 / 2

LCM(22,490) = 5390


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 1450/22, 6910/490

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 1450/22, 6910/490?

Answer: GCF of Numerators as per given numbers 1450/22, 6910/490 is

GCF of Numerators i.e. for 1450,6910 is 10

LCM of denominators i.e. for 22,490 is 5390.

Thus, GCF of Fractions is 10/5390.Finally, GCF of Fractions for 1450/22, 6910/490 is 10/5390.