Greatest Common Factor of 5520/421, 3490/1946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5520/421, 3490/1946

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 5520/421,3490/1946

Given fractions are 5520/421,3490/1946

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 5520,3490

Greatest Common Factor of Numerators i.e. GCF of 5520,3490 is 10 .

LCM of Denominators means LCM of 421,1946 as per the given fractions.

LCM of 421,1946 is 819266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5520,3490

GCF of Fractions 5520/421,3490/1946 is 10/819266

2 5520, 3490
5 2760, 1745
552, 349

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

Greatest Common Factor of 5520,3490 By Matching Biggest Common Factor Method

Greatest Common Factor of 5520,3490 By Matching Biggest Common Factor Method

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 5520,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 5520,3490 is 10.

Lets's calculate LCM of 421,1946

Given numbers has no common factors except 1. So, there LCM is their product i.e 819266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/819266

Therefore, the GCF of Fractions 5520/421,3490/1946 is 10/819266

Least Common Multiple of 421,1946 with GCF Formula

Least Common Multiple of 421,1946 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 421,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,1946) = 1

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

GCF(421,1946) x common factors =1 x 1 = 1

LCM(421,1946) = ( 421 × 1946 ) / 1

LCM(421,1946) = 819266 / 1

LCM(421,1946) = 819266


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 5520/421, 3490/1946

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 5520/421, 3490/1946?

Answer: GCF of Numerators as per given numbers 5520/421, 3490/1946 is

GCF of Numerators i.e. for 5520,3490 is 10

LCM of denominators i.e. for 421,1946 is 819266.

Thus, GCF of Fractions is 10/819266.Finally, GCF of Fractions for 5520/421, 3490/1946 is 10/819266.