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 771/693, 271/803

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 771/693, 271/803 i.e 1/50589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 771/693, 271/803.

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 771/693,271/803?

Given fractions are 771/693,271/803

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 771/693,271/803, numerators are 771,271

Denominators are 693,803

The GCF of 771,271 is 1 .

LCM of 693,803 is 50589.

The greatest common factor of 771/693,271/803 = [GCF of 771,271]/[LCM of 693,803]= 1/50589

Therefore, the GCF of 771/693,271/803 is 1/50589.

Greatest Common Factor of 771,271

To find the highest common factor of 771,271, we have to find the factors of both numbers and list the highest common factor.

The factors of 771 are 1, 3, 257, 771

The factors of 271 are 1, 271

The HCF of 771,271 is 1.

Lets's calculate GCF of 771,271

Greatest Common Factor (GCF) of 771,271 By Common Division

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

Greatest Common Factor of 771,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,271 By Matching Biggest Common Factor Method

Now, list down the factors of 771

:

1,3,257,771

Now, list down the factors of 271

:

1,271

Greatest Common Factor

We found the factors 771,271 . The biggest common factor number is the GCF number.
So the greatest common factor 771,271 is 1.

Lets's calculate LCM of 693,803

Lowest Common Multiple of 693,803 using Common Division

11 693, 803
63, 73

∴ So the LCM of the given numbers is 11 x 63 x 73 = 50589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50589

Therefore, the GCF of Fractions 771/693,271/803 is 1/50589

Least Common Multiple of 693,803 with GCF Formula

Least Common Multiple of 693,803 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 693,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,803) = 11

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

GCF(693,803) x common factors =11 x 1 = 11

LCM(693,803) = ( 693 × 803 ) / 11

LCM(693,803) = 556479 / 11

LCM(693,803) = 50589


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 771/693, 271/803

1. What is the HCF of 771,271?

The HCF of 771,271 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 771/693, 271/803?

Answer: GCF of Numerators as per given numbers 771/693, 271/803 is

GCF of Numerators i.e. for 771,271 is 1

LCM of denominators i.e. for 693,803 is 50589.

Thus, GCF of Fractions is 1/50589.Finally, GCF of Fractions for 771/693, 271/803 is 1/50589.