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GCF of 6826/609, 9510/3631

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 6826/609, 9510/3631 i.e 2/2211279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6826/609, 9510/3631.

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 6826/609,9510/3631?

Given fractions are 6826/609,9510/3631

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 6826/609,9510/3631, numerators are 6826,9510

Denominators are 609,3631

The GCF of 6826,9510 is 2 .

LCM of 609,3631 is 2211279.

The greatest common factor of 6826/609,9510/3631 = [GCF of 6826,9510]/[LCM of 609,3631]= 2/2211279

Therefore, the GCF of 6826/609,9510/3631 is 2/2211279.

Greatest Common Factor of 6826,9510

To find the highest common factor of 6826,9510, we have to find the factors of both numbers and list the highest common factor.

The factors of 6826 are 1, 2, 3413, 6826

The factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510

The HCF of 6826,9510 is 2.

Lets's calculate GCF of 6826,9510

Greatest Common Factor (GCF) of 6826,9510 By Common Division

2 6826, 9510
3413, 4755

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6826,9510 By Matching Biggest Common Factor Method

Greatest Common Factor of 6826,9510 By Matching Biggest Common Factor Method

Now, list down the factors of 6826

:

1,2,3413,6826

Now, list down the factors of 9510

:

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors 6826,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 6826,9510 is 2.


Lets's calculate LCM of 609,3631

Lowest Common Multiple of 609,3631 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2211279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2211279

Therefore, the GCF of Fractions 6826/609,9510/3631 is 2/2211279

Least Common Multiple of 609,3631 with GCF Formula

Least Common Multiple of 609,3631 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 609,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,3631) = 1

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

GCF(609,3631) x common factors =1 x 1 = 1

LCM(609,3631) = ( 609 × 3631 ) / 1

LCM(609,3631) = 2211279 / 1

LCM(609,3631) = 2211279


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6826/609, 9510/3631

1. What is the HCF of 6826,9510?

The HCF of 6826,9510 is 2

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 6826/609, 9510/3631?

Answer: GCF of Numerators as per given numbers 6826/609, 9510/3631 is

GCF of Numerators i.e. for 6826,9510 is 2

LCM of denominators i.e. for 609,3631 is 2211279.

Thus, GCF of Fractions is 2/2211279.Finally, GCF of Fractions for 6826/609, 9510/3631 is 2/2211279.