How to Find GCF of 5311/536, 7843/392?

GCF of 5311/536, 7843/392

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 5311/536, 7843/392 i.e 1/26264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5311/536, 7843/392.

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 5311/536,7843/392?

Given fractions are 5311/536,7843/392

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 5311/536,7843/392, numerators are 5311,7843

Denominators are 536,392

The GCF of 5311,7843 is 1 .

LCM of 536,392 is 26264.

The greatest common factor of 5311/536,7843/392 = [GCF of 5311,7843]/[LCM of 536,392]= 1/26264

Therefore, the GCF of 5311/536,7843/392 is 1/26264.

Greatest Common Factor of 5311,7843

To find the highest common factor of 5311,7843, we have to find the factors of both numbers and list the highest common factor.

The factors of 5311 are 1, 47, 113, 5311

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

The HCF of 5311,7843 is 1.

Lets's calculate GCF of 5311,7843

Greatest Common Factor (GCF) of 5311,7843 By Common Division

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

Greatest Common Factor of 5311,7843 By Matching Biggest Common Factor Method

Now, list down the factors of 5311

1,47,113,5311

Now, list down the factors of 7843

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

Greatest Common Factor

We found the factors 5311,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 5311,7843 is 1.

Lets's calculate LCM of 536,392

Lowest Common Multiple of 536,392 using Common Division

2	536, 392
2	268, 196
2	134, 98
	67, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 49 = 26264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26264

Therefore, the GCF of Fractions 5311/536,7843/392 is 1/26264

Least Common Multiple of 536,392 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 536,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,392) = 8

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

GCF(536,392) x common factors =8 x 1 = 8

LCM(536,392) = ( 536 × 392 ) / 8

LCM(536,392) = 210112 / 8

LCM(536,392) = 26264

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FAQs on GCF of Fractions of 5311/536, 7843/392

1. What is the HCF of 5311,7843?

The HCF of 5311,7843 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 5311/536, 7843/392?

Answer: GCF of Numerators as per given numbers 5311/536, 7843/392 is

GCF of Numerators i.e. for 5311,7843 is 1

LCM of denominators i.e. for 536,392 is 26264.

Thus, GCF of Fractions is 1/26264.Finally, GCF of Fractions for 5311/536, 7843/392 is 1/26264.