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GCF of 6797/262, 2205/9322

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 6797/262, 2205/9322 i.e 7/1221182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6797/262, 2205/9322.

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 6797/262,2205/9322?

Given fractions are 6797/262,2205/9322

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 6797/262,2205/9322, numerators are 6797,2205

Denominators are 262,9322

The GCF of 6797,2205 is 7 .

LCM of 262,9322 is 1221182.

The greatest common factor of 6797/262,2205/9322 = [GCF of 6797,2205]/[LCM of 262,9322]= 7/1221182

Therefore, the GCF of 6797/262,2205/9322 is 7/1221182.

Greatest Common Factor of 6797,2205

To find the highest common factor of 6797,2205, we have to find the factors of both numbers and list the highest common factor.

The factors of 6797 are 1, 7, 971, 6797

The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

The HCF of 6797,2205 is 7.

Lets's calculate GCF of 6797,2205

Greatest Common Factor (GCF) of 6797,2205 By Common Division

7 6797, 2205
971, 315

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6797,2205 By Matching Biggest Common Factor Method

Greatest Common Factor of 6797,2205 By Matching Biggest Common Factor Method

Now, list down the factors of 6797

:

1,7,971,6797

Now, list down the factors of 2205

:

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Greatest Common Factor

We found the factors 6797,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 6797,2205 is 7.


Lets's calculate LCM of 262,9322

Lowest Common Multiple of 262,9322 using Common Division

2 262, 9322
131, 4661

∴ So the LCM of the given numbers is 2 x 131 x 4661 = 1221182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1221182

Therefore, the GCF of Fractions 6797/262,2205/9322 is 7/1221182

Least Common Multiple of 262,9322 with GCF Formula

Least Common Multiple of 262,9322 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 262,9322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,9322) = 2

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

GCF(262,9322) x common factors =2 x 1 = 2

LCM(262,9322) = ( 262 × 9322 ) / 2

LCM(262,9322) = 2442364 / 2

LCM(262,9322) = 1221182


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6797/262, 2205/9322

1. What is the HCF of 6797,2205?

The HCF of 6797,2205 is 7

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 6797/262, 2205/9322?

Answer: GCF of Numerators as per given numbers 6797/262, 2205/9322 is

GCF of Numerators i.e. for 6797,2205 is 7

LCM of denominators i.e. for 262,9322 is 1221182.

Thus, GCF of Fractions is 7/1221182.Finally, GCF of Fractions for 6797/262, 2205/9322 is 7/1221182.