How to Find GCF of 5206/699, 6436/2770?

GCF of 5206/699, 6436/2770

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 5206/699, 6436/2770 i.e 2/1936230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5206/699, 6436/2770.

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 5206/699,6436/2770?

Given fractions are 5206/699,6436/2770

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 5206/699,6436/2770, numerators are 5206,6436

Denominators are 699,2770

The GCF of 5206,6436 is 2 .

LCM of 699,2770 is 1936230.

The greatest common factor of 5206/699,6436/2770 = [GCF of 5206,6436]/[LCM of 699,2770]= 2/1936230

Therefore, the GCF of 5206/699,6436/2770 is 2/1936230.

Greatest Common Factor of 5206,6436

To find the highest common factor of 5206,6436, we have to find the factors of both numbers and list the highest common factor.

The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206

The factors of 6436 are 1, 2, 4, 1609, 3218, 6436

The HCF of 5206,6436 is 2.

Lets's calculate GCF of 5206,6436

Greatest Common Factor (GCF) of 5206,6436 By Common Division

2	5206, 6436
	2603, 3218

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

Greatest Common Factor of 5206,6436 By Matching Biggest Common Factor Method

Now, list down the factors of 5206

1,2,19,38,137,274,2603,5206

Now, list down the factors of 6436

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors 5206,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 5206,6436 is 2.

Lets's calculate LCM of 699,2770

Lowest Common Multiple of 699,2770 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1936230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1936230

Therefore, the GCF of Fractions 5206/699,6436/2770 is 2/1936230

Least Common Multiple of 699,2770 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 699,2770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,2770) = 1

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

GCF(699,2770) x common factors =1 x 1 = 1

LCM(699,2770) = ( 699 × 2770 ) / 1

LCM(699,2770) = 1936230 / 1

LCM(699,2770) = 1936230

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FAQs on GCF of Fractions of 5206/699, 6436/2770

1. What is the HCF of 5206,6436?

The HCF of 5206,6436 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 5206/699, 6436/2770?

Answer: GCF of Numerators as per given numbers 5206/699, 6436/2770 is

GCF of Numerators i.e. for 5206,6436 is 2

LCM of denominators i.e. for 699,2770 is 1936230.

Thus, GCF of Fractions is 2/1936230.Finally, GCF of Fractions for 5206/699, 6436/2770 is 2/1936230.