Greatest Common Factor of 2850/241, 9780/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2850/241, 9780/419

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 2850/241,9780/419

Given fractions are 2850/241,9780/419

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 2850,9780

Greatest Common Factor of Numerators i.e. GCF of 2850,9780 is 30 .

LCM of Denominators means LCM of 241,419 as per the given fractions.

LCM of 241,419 is 100979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2850,9780

GCF of Fractions 2850/241,9780/419 is 30/100979

2 2850, 9780
3 1425, 4890
5 475, 1630
95, 326

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 2850,9780 By Matching Biggest Common Factor Method

Greatest Common Factor of 2850,9780 By Matching Biggest Common Factor Method

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

Greatest Common Factor

We found the factors 2850,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,9780 is 30.

Lets's calculate LCM of 241,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 100979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/100979

Therefore, the GCF of Fractions 2850/241,9780/419 is 30/100979

Least Common Multiple of 241,419 with GCF Formula

Least Common Multiple of 241,419 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 241,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,419) = 1

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

GCF(241,419) x common factors =1 x 1 = 1

LCM(241,419) = ( 241 × 419 ) / 1

LCM(241,419) = 100979 / 1

LCM(241,419) = 100979


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 2850/241, 9780/419

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 2850/241, 9780/419?

Answer: GCF of Numerators as per given numbers 2850/241, 9780/419 is

GCF of Numerators i.e. for 2850,9780 is 30

LCM of denominators i.e. for 241,419 is 100979.

Thus, GCF of Fractions is 30/100979.Finally, GCF of Fractions for 2850/241, 9780/419 is 30/100979.