Greatest Common Factor of 1800/92, 7840/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1800/92, 7840/245

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 1800/92,7840/245

Given fractions are 1800/92,7840/245

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 1800,7840

Greatest Common Factor of Numerators i.e. GCF of 1800,7840 is 40 .

LCM of Denominators means LCM of 92,245 as per the given fractions.

LCM of 92,245 is 22540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1800,7840

GCF of Fractions 1800/92,7840/245 is 40/22540

2 1800, 7840
2 900, 3920
2 450, 1960
5 225, 980
45, 196

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 1800,7840 By Matching Biggest Common Factor Method

Greatest Common Factor of 1800,7840 By Matching Biggest Common Factor Method

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Greatest Common Factor

We found the factors 1800,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,7840 is 40.

Lets's calculate LCM of 92,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 22540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/22540

Therefore, the GCF of Fractions 1800/92,7840/245 is 40/22540

Least Common Multiple of 92,245 with GCF Formula

Least Common Multiple of 92,245 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 92,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,245) = 1

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

GCF(92,245) x common factors =1 x 1 = 1

LCM(92,245) = ( 92 × 245 ) / 1

LCM(92,245) = 22540 / 1

LCM(92,245) = 22540


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 1800/92, 7840/245

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 1800/92, 7840/245?

Answer: GCF of Numerators as per given numbers 1800/92, 7840/245 is

GCF of Numerators i.e. for 1800,7840 is 40

LCM of denominators i.e. for 92,245 is 22540.

Thus, GCF of Fractions is 40/22540.Finally, GCF of Fractions for 1800/92, 7840/245 is 40/22540.