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 892/310, 2697/566

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 892/310, 2697/566 i.e 1/87730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 892/310, 2697/566.

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 892/310,2697/566?

Given fractions are 892/310,2697/566

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 892/310,2697/566, numerators are 892,2697

Denominators are 310,566

The GCF of 892,2697 is 1 .

LCM of 310,566 is 87730.

The greatest common factor of 892/310,2697/566 = [GCF of 892,2697]/[LCM of 310,566]= 1/87730

Therefore, the GCF of 892/310,2697/566 is 1/87730.

Greatest Common Factor of 892,2697

To find the highest common factor of 892,2697, we have to find the factors of both numbers and list the highest common factor.

The factors of 892 are 1, 2, 4, 223, 446, 892

The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697

The HCF of 892,2697 is 1.

Lets's calculate GCF of 892,2697

Greatest Common Factor (GCF) of 892,2697 By Common Division

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

Greatest Common Factor of 892,2697 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,2697 By Matching Biggest Common Factor Method

Now, list down the factors of 892

:

1,2,4,223,446,892

Now, list down the factors of 2697

:

1,3,29,31,87,93,899,2697

Greatest Common Factor

We found the factors 892,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 892,2697 is 1.

Lets's calculate LCM of 310,566

Lowest Common Multiple of 310,566 using Common Division

2 310, 566
155, 283

∴ So the LCM of the given numbers is 2 x 155 x 283 = 87730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87730

Therefore, the GCF of Fractions 892/310,2697/566 is 1/87730

Least Common Multiple of 310,566 with GCF Formula

Least Common Multiple of 310,566 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 310,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,566) = 2

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

GCF(310,566) x common factors =2 x 1 = 2

LCM(310,566) = ( 310 × 566 ) / 2

LCM(310,566) = 175460 / 2

LCM(310,566) = 87730


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 892/310, 2697/566

1. What is the HCF of 892,2697?

The HCF of 892,2697 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 892/310, 2697/566?

Answer: GCF of Numerators as per given numbers 892/310, 2697/566 is

GCF of Numerators i.e. for 892,2697 is 1

LCM of denominators i.e. for 310,566 is 87730.

Thus, GCF of Fractions is 1/87730.Finally, GCF of Fractions for 892/310, 2697/566 is 1/87730.