How to Find GCF of 6829/195, 8442/5582?

GCF of 6829/195, 8442/5582

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 6829/195, 8442/5582 i.e 1/1088490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6829/195, 8442/5582.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6829/195,8442/5582?

Given fractions are 6829/195,8442/5582

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 6829/195,8442/5582, numerators are 6829,8442

Denominators are 195,5582

The GCF of 6829,8442 is 1 .

LCM of 195,5582 is 1088490.

The greatest common factor of 6829/195,8442/5582 = [GCF of 6829,8442]/[LCM of 195,5582]= 1/1088490

Therefore, the GCF of 6829/195,8442/5582 is 1/1088490.

Greatest Common Factor of 6829,8442

To find the highest common factor of 6829,8442, we have to find the factors of both numbers and list the highest common factor.

The factors of 6829 are 1, 6829

The factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442

The HCF of 6829,8442 is 1.

Lets's calculate GCF of 6829,8442

Greatest Common Factor (GCF) of 6829,8442 By Common Division

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

Greatest Common Factor of 6829,8442 By Matching Biggest Common Factor Method

Now, list down the factors of 6829

1,6829

Now, list down the factors of 8442

1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442

Greatest Common Factor

We found the factors 6829,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 6829,8442 is 1.

Lets's calculate LCM of 195,5582

Lowest Common Multiple of 195,5582 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1088490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088490

Therefore, the GCF of Fractions 6829/195,8442/5582 is 1/1088490

Least Common Multiple of 195,5582 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 195,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,5582) = 1

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

GCF(195,5582) x common factors =1 x 1 = 1

LCM(195,5582) = ( 195 × 5582 ) / 1

LCM(195,5582) = 1088490 / 1

LCM(195,5582) = 1088490

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6829/195, 8442/5582

1. What is the HCF of 6829,8442?

The HCF of 6829,8442 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 6829/195, 8442/5582?

Answer: GCF of Numerators as per given numbers 6829/195, 8442/5582 is

GCF of Numerators i.e. for 6829,8442 is 1

LCM of denominators i.e. for 195,5582 is 1088490.

Thus, GCF of Fractions is 1/1088490.Finally, GCF of Fractions for 6829/195, 8442/5582 is 1/1088490.