Greatest Common Factor of 3360/214, 3540/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3360/214, 3540/820

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 3360/214,3540/820

Given fractions are 3360/214,3540/820

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 3360,3540

Greatest Common Factor of Numerators i.e. GCF of 3360,3540 is 60 .

LCM of Denominators means LCM of 214,820 as per the given fractions.

LCM of 214,820 is 87740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3360,3540

GCF of Fractions 3360/214,3540/820 is 60/87740

2 3360, 3540
2 1680, 1770
3 840, 885
5 280, 295
56, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 3360,3540 By Matching Biggest Common Factor Method

Greatest Common Factor of 3360,3540 By Matching Biggest Common Factor Method

Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors 3360,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 3360,3540 is 60.

Lets's calculate LCM of 214,820

2 214, 820
107, 410

∴ So the LCM of the given numbers is 2 x 107 x 410 = 87740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/87740

Therefore, the GCF of Fractions 3360/214,3540/820 is 60/87740

Least Common Multiple of 214,820 with GCF Formula

Least Common Multiple of 214,820 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 214,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,820) = 2

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

GCF(214,820) x common factors =2 x 1 = 2

LCM(214,820) = ( 214 × 820 ) / 2

LCM(214,820) = 175480 / 2

LCM(214,820) = 87740


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 3360/214, 3540/820

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 3360/214, 3540/820?

Answer: GCF of Numerators as per given numbers 3360/214, 3540/820 is

GCF of Numerators i.e. for 3360,3540 is 60

LCM of denominators i.e. for 214,820 is 87740.

Thus, GCF of Fractions is 60/87740.Finally, GCF of Fractions for 3360/214, 3540/820 is 60/87740.