How to Find GCF of 7786/570, 6857/1083?

GCF of 7786/570, 6857/1083

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 7786/570, 6857/1083 i.e 1/10830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7786/570, 6857/1083.

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 7786/570,6857/1083?

Given fractions are 7786/570,6857/1083

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 7786/570,6857/1083, numerators are 7786,6857

Denominators are 570,1083

The GCF of 7786,6857 is 1 .

LCM of 570,1083 is 10830.

The greatest common factor of 7786/570,6857/1083 = [GCF of 7786,6857]/[LCM of 570,1083]= 1/10830

Therefore, the GCF of 7786/570,6857/1083 is 1/10830.

Greatest Common Factor of 7786,6857

To find the highest common factor of 7786,6857, we have to find the factors of both numbers and list the highest common factor.

The factors of 7786 are 1, 2, 17, 34, 229, 458, 3893, 7786

The factors of 6857 are 1, 6857

The HCF of 7786,6857 is 1.

Lets's calculate GCF of 7786,6857

Greatest Common Factor (GCF) of 7786,6857 By Common Division

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

Greatest Common Factor of 7786,6857 By Matching Biggest Common Factor Method

Now, list down the factors of 7786

1,2,17,34,229,458,3893,7786

Now, list down the factors of 6857

1,6857

Greatest Common Factor

We found the factors 7786,6857 . The biggest common factor number is the GCF number.
So the greatest common factor 7786,6857 is 1.

Lets's calculate LCM of 570,1083

Lowest Common Multiple of 570,1083 using Common Division

3	570, 1083
19	190, 361
	10, 19

∴ So the LCM of the given numbers is 3 x 19 x 10 x 19 = 10830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10830

Therefore, the GCF of Fractions 7786/570,6857/1083 is 1/10830

Least Common Multiple of 570,1083 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 570,1083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,1083) = 57

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

GCF(570,1083) x common factors =57 x 1 = 57

LCM(570,1083) = ( 570 × 1083 ) / 57

LCM(570,1083) = 617310 / 57

LCM(570,1083) = 10830

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FAQs on GCF of Fractions of 7786/570, 6857/1083

1. What is the HCF of 7786,6857?

The HCF of 7786,6857 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 7786/570, 6857/1083?

Answer: GCF of Numerators as per given numbers 7786/570, 6857/1083 is

GCF of Numerators i.e. for 7786,6857 is 1

LCM of denominators i.e. for 570,1083 is 10830.

Thus, GCF of Fractions is 1/10830.Finally, GCF of Fractions for 7786/570, 6857/1083 is 1/10830.