How to Find GCF of 6850/394, 2832/4756?

GCF of 6850/394, 2832/4756

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6850/394, 2832/4756 i.e 2/936932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6850/394, 2832/4756.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6850/394,2832/4756?

Given fractions are 6850/394,2832/4756

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6850/394,2832/4756, numerators are 6850,2832

Denominators are 394,4756

The GCF of 6850,2832 is 2 .

LCM of 394,4756 is 936932.

The greatest common factor of 6850/394,2832/4756 = [GCF of 6850,2832]/[LCM of 394,4756]= 2/936932

Therefore, the GCF of 6850/394,2832/4756 is 2/936932.

Greatest Common Factor of 6850,2832

To find the highest common factor of 6850,2832, we have to find the factors of both numbers and list the highest common factor.

The factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850

The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832

The HCF of 6850,2832 is 2.

Lets's calculate GCF of 6850,2832

Greatest Common Factor (GCF) of 6850,2832 By Common Division

2	6850, 2832
	3425, 1416

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

Greatest Common Factor of 6850,2832 By Matching Biggest Common Factor Method

Now, list down the factors of 6850

1,2,5,10,25,50,137,274,685,1370,3425,6850

Now, list down the factors of 2832

1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832

Greatest Common Factor

We found the factors 6850,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,2832 is 2.

Lets's calculate LCM of 394,4756

Lowest Common Multiple of 394,4756 using Common Division

2	394, 4756
	197, 2378

∴ So the LCM of the given numbers is 2 x 197 x 2378 = 936932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/936932

Therefore, the GCF of Fractions 6850/394,2832/4756 is 2/936932

Least Common Multiple of 394,4756 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 394,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,4756) = 2

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

GCF(394,4756) x common factors =2 x 1 = 2

LCM(394,4756) = ( 394 × 4756 ) / 2

LCM(394,4756) = 1873864 / 2

LCM(394,4756) = 936932

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6850/394, 2832/4756

1. What is the HCF of 6850,2832?

The HCF of 6850,2832 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6850/394, 2832/4756?

Answer: GCF of Numerators as per given numbers 6850/394, 2832/4756 is

GCF of Numerators i.e. for 6850,2832 is 2

LCM of denominators i.e. for 394,4756 is 936932.

Thus, GCF of Fractions is 2/936932.Finally, GCF of Fractions for 6850/394, 2832/4756 is 2/936932.