Greatest Common Factor of 6050/824, 3752/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6050/824, 3752/350

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 6050/824,3752/350

Given fractions are 6050/824,3752/350

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 6050,3752

Greatest Common Factor of Numerators i.e. GCF of 6050,3752 is 2 .

LCM of Denominators means LCM of 824,350 as per the given fractions.

LCM of 824,350 is 144200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6050,3752

GCF of Fractions 6050/824,3752/350 is 2/144200

2 6050, 3752
3025, 1876

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6050,3752 By Matching Biggest Common Factor Method

Greatest Common Factor of 6050,3752 By Matching Biggest Common Factor Method

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Factors of 3752

List of positive integer factors of 3752 that divides 3752 without a remainder.

1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752

Greatest Common Factor

We found the factors 6050,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 6050,3752 is 2.

Lets's calculate LCM of 824,350

2 824, 350
412, 175

∴ So the LCM of the given numbers is 2 x 412 x 175 = 144200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144200

Therefore, the GCF of Fractions 6050/824,3752/350 is 2/144200

Least Common Multiple of 824,350 with GCF Formula

Least Common Multiple of 824,350 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 824,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,350) = 2

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

GCF(824,350) x common factors =2 x 1 = 2

LCM(824,350) = ( 824 × 350 ) / 2

LCM(824,350) = 288400 / 2

LCM(824,350) = 144200


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 6050/824, 3752/350

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 6050/824, 3752/350?

Answer: GCF of Numerators as per given numbers 6050/824, 3752/350 is

GCF of Numerators i.e. for 6050,3752 is 2

LCM of denominators i.e. for 824,350 is 144200.

Thus, GCF of Fractions is 2/144200.Finally, GCF of Fractions for 6050/824, 3752/350 is 2/144200.