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 287/892, 969/118

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 287/892, 969/118 i.e 1/52628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 287/892, 969/118.

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 287/892,969/118?

Given fractions are 287/892,969/118

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 287/892,969/118, numerators are 287,969

Denominators are 892,118

The GCF of 287,969 is 1 .

LCM of 892,118 is 52628.

The greatest common factor of 287/892,969/118 = [GCF of 287,969]/[LCM of 892,118]= 1/52628

Therefore, the GCF of 287/892,969/118 is 1/52628.

Greatest Common Factor of 287,969

To find the highest common factor of 287,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 287 are 1, 7, 41, 287

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 287,969 is 1.

Lets's calculate GCF of 287,969

Greatest Common Factor (GCF) of 287,969 By Common Division

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

Greatest Common Factor of 287,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,969 By Matching Biggest Common Factor Method

Now, list down the factors of 287

:

1,7,41,287

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 287,969 . The biggest common factor number is the GCF number.
So the greatest common factor 287,969 is 1.

Lets's calculate LCM of 892,118

Lowest Common Multiple of 892,118 using Common Division

2 892, 118
446, 59

∴ So the LCM of the given numbers is 2 x 446 x 59 = 52628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52628

Therefore, the GCF of Fractions 287/892,969/118 is 1/52628

Least Common Multiple of 892,118 with GCF Formula

Least Common Multiple of 892,118 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 892,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,118) = 2

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

GCF(892,118) x common factors =2 x 1 = 2

LCM(892,118) = ( 892 × 118 ) / 2

LCM(892,118) = 105256 / 2

LCM(892,118) = 52628


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 287/892, 969/118

1. What is the HCF of 287,969?

The HCF of 287,969 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 287/892, 969/118?

Answer: GCF of Numerators as per given numbers 287/892, 969/118 is

GCF of Numerators i.e. for 287,969 is 1

LCM of denominators i.e. for 892,118 is 52628.

Thus, GCF of Fractions is 1/52628.Finally, GCF of Fractions for 287/892, 969/118 is 1/52628.