How to Find GCF of 6775/50, 8454/470?

GCF of 6775/50, 8454/470

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 6775/50, 8454/470 i.e 1/2350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6775/50, 8454/470.

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 6775/50,8454/470?

Given fractions are 6775/50,8454/470

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 6775/50,8454/470, numerators are 6775,8454

Denominators are 50,470

The GCF of 6775,8454 is 1 .

LCM of 50,470 is 2350.

The greatest common factor of 6775/50,8454/470 = [GCF of 6775,8454]/[LCM of 50,470]= 1/2350

Therefore, the GCF of 6775/50,8454/470 is 1/2350.

Greatest Common Factor of 6775,8454

To find the highest common factor of 6775,8454, we have to find the factors of both numbers and list the highest common factor.

The factors of 6775 are 1, 5, 25, 271, 1355, 6775

The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454

The HCF of 6775,8454 is 1.

Lets's calculate GCF of 6775,8454

Greatest Common Factor (GCF) of 6775,8454 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6775,8454 By Matching Biggest Common Factor Method

Now, list down the factors of 6775

1,5,25,271,1355,6775

Now, list down the factors of 8454

1,2,3,6,1409,2818,4227,8454

Greatest Common Factor

We found the factors 6775,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 6775,8454 is 1.

Lets's calculate LCM of 50,470

Lowest Common Multiple of 50,470 using Common Division

2	50, 470
5	25, 235
	5, 47

∴ So the LCM of the given numbers is 2 x 5 x 5 x 47 = 2350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2350

Therefore, the GCF of Fractions 6775/50,8454/470 is 1/2350

Least Common Multiple of 50,470 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 50,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,470) = 10

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

GCF(50,470) x common factors =10 x 1 = 10

LCM(50,470) = ( 50 × 470 ) / 10

LCM(50,470) = 23500 / 10

LCM(50,470) = 2350

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FAQs on GCF of Fractions of 6775/50, 8454/470

1. What is the HCF of 6775,8454?

The HCF of 6775,8454 is 1

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 6775/50, 8454/470?

Answer: GCF of Numerators as per given numbers 6775/50, 8454/470 is

GCF of Numerators i.e. for 6775,8454 is 1

LCM of denominators i.e. for 50,470 is 2350.

Thus, GCF of Fractions is 1/2350.Finally, GCF of Fractions for 6775/50, 8454/470 is 1/2350.