How to Find GCF of 837/844, 7843/8279?

GCF of 837/844, 7843/8279

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 837/844, 7843/8279 i.e 31/6987476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/844, 7843/8279.

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 837/844,7843/8279?

Given fractions are 837/844,7843/8279

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 837/844,7843/8279, numerators are 837,7843

Denominators are 844,8279

The GCF of 837,7843 is 31 .

LCM of 844,8279 is 6987476.

The greatest common factor of 837/844,7843/8279 = [GCF of 837,7843]/[LCM of 844,8279]= 31/6987476

Therefore, the GCF of 837/844,7843/8279 is 31/6987476.

Greatest Common Factor of 837,7843

To find the highest common factor of 837,7843, we have to find the factors of both numbers and list the highest common factor.

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843

The HCF of 837,7843 is 31.

Lets's calculate GCF of 837,7843

Greatest Common Factor (GCF) of 837,7843 By Common Division

31	837, 7843
	27, 253

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 837,7843 By Matching Biggest Common Factor Method

Now, list down the factors of 837

1,3,9,27,31,93,279,837

Now, list down the factors of 7843

1,11,23,31,253,341,713,7843

Greatest Common Factor

We found the factors 837,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 837,7843 is 31.

Lets's calculate LCM of 844,8279

Lowest Common Multiple of 844,8279 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6987476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/6987476

Therefore, the GCF of Fractions 837/844,7843/8279 is 31/6987476

Least Common Multiple of 844,8279 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 844,8279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,8279) = 1

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

GCF(844,8279) x common factors =1 x 1 = 1

LCM(844,8279) = ( 844 × 8279 ) / 1

LCM(844,8279) = 6987476 / 1

LCM(844,8279) = 6987476

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FAQs on GCF of Fractions of 837/844, 7843/8279

1. What is the HCF of 837,7843?

The HCF of 837,7843 is 31

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 837/844, 7843/8279?

Answer: GCF of Numerators as per given numbers 837/844, 7843/8279 is

GCF of Numerators i.e. for 837,7843 is 31

LCM of denominators i.e. for 844,8279 is 6987476.

Thus, GCF of Fractions is 31/6987476.Finally, GCF of Fractions for 837/844, 7843/8279 is 31/6987476.