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 343/86, 634/676

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 343/86, 634/676 i.e 1/29068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 343/86, 634/676.

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 343/86,634/676?

Given fractions are 343/86,634/676

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 343/86,634/676, numerators are 343,634

Denominators are 86,676

The GCF of 343,634 is 1 .

LCM of 86,676 is 29068.

The greatest common factor of 343/86,634/676 = [GCF of 343,634]/[LCM of 86,676]= 1/29068

Therefore, the GCF of 343/86,634/676 is 1/29068.

Greatest Common Factor of 343,634

To find the highest common factor of 343,634, we have to find the factors of both numbers and list the highest common factor.

The factors of 343 are 1, 7, 49, 343

The factors of 634 are 1, 2, 317, 634

The HCF of 343,634 is 1.

Lets's calculate GCF of 343,634

Greatest Common Factor (GCF) of 343,634 By Common Division

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

Greatest Common Factor of 343,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,634 By Matching Biggest Common Factor Method

Now, list down the factors of 343

:

1,7,49,343

Now, list down the factors of 634

:

1,2,317,634

Greatest Common Factor

We found the factors 343,634 . The biggest common factor number is the GCF number.
So the greatest common factor 343,634 is 1.

Lets's calculate LCM of 86,676

Lowest Common Multiple of 86,676 using Common Division

2 86, 676
43, 338

∴ So the LCM of the given numbers is 2 x 43 x 338 = 29068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29068

Therefore, the GCF of Fractions 343/86,634/676 is 1/29068

Least Common Multiple of 86,676 with GCF Formula

Least Common Multiple of 86,676 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 86,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,676) = 2

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

GCF(86,676) x common factors =2 x 1 = 2

LCM(86,676) = ( 86 × 676 ) / 2

LCM(86,676) = 58136 / 2

LCM(86,676) = 29068


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 343/86, 634/676

1. What is the HCF of 343,634?

The HCF of 343,634 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 343/86, 634/676?

Answer: GCF of Numerators as per given numbers 343/86, 634/676 is

GCF of Numerators i.e. for 343,634 is 1

LCM of denominators i.e. for 86,676 is 29068.

Thus, GCF of Fractions is 1/29068.Finally, GCF of Fractions for 343/86, 634/676 is 1/29068.