LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 275/328, 6761/385

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 275/328, 6761/385 i.e 1/126280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/328, 6761/385.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 275/328,6761/385?

Given fractions are 275/328,6761/385

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 275/328,6761/385, numerators are 275,6761

Denominators are 328,385

The GCF of 275,6761 is 1 .

LCM of 328,385 is 126280.

The greatest common factor of 275/328,6761/385 = [GCF of 275,6761]/[LCM of 328,385]= 1/126280

Therefore, the GCF of 275/328,6761/385 is 1/126280.

Greatest Common Factor of 275,6761

To find the highest common factor of 275,6761, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 6761 are 1, 6761

The HCF of 275,6761 is 1.

Lets's calculate GCF of 275,6761

Greatest Common Factor (GCF) of 275,6761 By Common Division

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

Greatest Common Factor of 275,6761 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,6761 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

Now, list down the factors of 6761

:

1,6761

Greatest Common Factor

We found the factors 275,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 275,6761 is 1.

Lets's calculate LCM of 328,385

Lowest Common Multiple of 328,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126280

Therefore, the GCF of Fractions 275/328,6761/385 is 1/126280

Least Common Multiple of 328,385 with GCF Formula

Least Common Multiple of 328,385 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 328,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,385) = 1

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

GCF(328,385) x common factors =1 x 1 = 1

LCM(328,385) = ( 328 × 385 ) / 1

LCM(328,385) = 126280 / 1

LCM(328,385) = 126280


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 275/328, 6761/385

1. What is the HCF of 275,6761?

The HCF of 275,6761 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 275/328, 6761/385?

Answer: GCF of Numerators as per given numbers 275/328, 6761/385 is

GCF of Numerators i.e. for 275,6761 is 1

LCM of denominators i.e. for 328,385 is 126280.

Thus, GCF of Fractions is 1/126280.Finally, GCF of Fractions for 275/328, 6761/385 is 1/126280.