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 918/26, 347/981

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 918/26, 347/981 i.e 1/25506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/26, 347/981.

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 918/26,347/981?

Given fractions are 918/26,347/981

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 918/26,347/981, numerators are 918,347

Denominators are 26,981

The GCF of 918,347 is 1 .

LCM of 26,981 is 25506.

The greatest common factor of 918/26,347/981 = [GCF of 918,347]/[LCM of 26,981]= 1/25506

Therefore, the GCF of 918/26,347/981 is 1/25506.

Greatest Common Factor of 918,347

To find the highest common factor of 918,347, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 347 are 1, 347

The HCF of 918,347 is 1.

Lets's calculate GCF of 918,347

Greatest Common Factor (GCF) of 918,347 By Common Division

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

Greatest Common Factor of 918,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,347 By Matching Biggest Common Factor Method

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 347

:

1,347

Greatest Common Factor

We found the factors 918,347 . The biggest common factor number is the GCF number.
So the greatest common factor 918,347 is 1.

Lets's calculate LCM of 26,981

Lowest Common Multiple of 26,981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25506

Therefore, the GCF of Fractions 918/26,347/981 is 1/25506

Least Common Multiple of 26,981 with GCF Formula

Least Common Multiple of 26,981 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 26,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,981) = 1

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

GCF(26,981) x common factors =1 x 1 = 1

LCM(26,981) = ( 26 × 981 ) / 1

LCM(26,981) = 25506 / 1

LCM(26,981) = 25506


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 918/26, 347/981

1. What is the HCF of 918,347?

The HCF of 918,347 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 918/26, 347/981?

Answer: GCF of Numerators as per given numbers 918/26, 347/981 is

GCF of Numerators i.e. for 918,347 is 1

LCM of denominators i.e. for 26,981 is 25506.

Thus, GCF of Fractions is 1/25506.Finally, GCF of Fractions for 918/26, 347/981 is 1/25506.