How to Find GCF of 6268/857, 4036/713?

GCF of 6268/857, 4036/713

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 6268/857, 4036/713 i.e 4/611041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6268/857, 4036/713.

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 6268/857,4036/713?

Given fractions are 6268/857,4036/713

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 6268/857,4036/713, numerators are 6268,4036

Denominators are 857,713

The GCF of 6268,4036 is 4 .

LCM of 857,713 is 611041.

The greatest common factor of 6268/857,4036/713 = [GCF of 6268,4036]/[LCM of 857,713]= 4/611041

Therefore, the GCF of 6268/857,4036/713 is 4/611041.

Greatest Common Factor of 6268,4036

To find the highest common factor of 6268,4036, we have to find the factors of both numbers and list the highest common factor.

The factors of 6268 are 1, 2, 4, 1567, 3134, 6268

The factors of 4036 are 1, 2, 4, 1009, 2018, 4036

The HCF of 6268,4036 is 4.

Lets's calculate GCF of 6268,4036

Greatest Common Factor (GCF) of 6268,4036 By Common Division

2	6268, 4036
2	3134, 2018
	1567, 1009

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6268,4036 By Matching Biggest Common Factor Method

Now, list down the factors of 6268

1,2,4,1567,3134,6268

Now, list down the factors of 4036

1,2,4,1009,2018,4036

Greatest Common Factor

We found the factors 6268,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,4036 is 4.

Lets's calculate LCM of 857,713

Lowest Common Multiple of 857,713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/611041

Therefore, the GCF of Fractions 6268/857,4036/713 is 4/611041

Least Common Multiple of 857,713 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 857,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,713) = 1

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

GCF(857,713) x common factors =1 x 1 = 1

LCM(857,713) = ( 857 × 713 ) / 1

LCM(857,713) = 611041 / 1

LCM(857,713) = 611041

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FAQs on GCF of Fractions of 6268/857, 4036/713

1. What is the HCF of 6268,4036?

The HCF of 6268,4036 is 4

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 6268/857, 4036/713?

Answer: GCF of Numerators as per given numbers 6268/857, 4036/713 is

GCF of Numerators i.e. for 6268,4036 is 4

LCM of denominators i.e. for 857,713 is 611041.

Thus, GCF of Fractions is 4/611041.Finally, GCF of Fractions for 6268/857, 4036/713 is 4/611041.