How to Find GCF of 6787/223, 9691/2554?

GCF of 6787/223, 9691/2554

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 6787/223, 9691/2554 i.e 11/569542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6787/223, 9691/2554.

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 6787/223,9691/2554?

Given fractions are 6787/223,9691/2554

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 6787/223,9691/2554, numerators are 6787,9691

Denominators are 223,2554

The GCF of 6787,9691 is 11 .

LCM of 223,2554 is 569542.

The greatest common factor of 6787/223,9691/2554 = [GCF of 6787,9691]/[LCM of 223,2554]= 11/569542

Therefore, the GCF of 6787/223,9691/2554 is 11/569542.

Greatest Common Factor of 6787,9691

To find the highest common factor of 6787,9691, we have to find the factors of both numbers and list the highest common factor.

The factors of 6787 are 1, 11, 617, 6787

The factors of 9691 are 1, 11, 881, 9691

The HCF of 6787,9691 is 11.

Lets's calculate GCF of 6787,9691

Greatest Common Factor (GCF) of 6787,9691 By Common Division

11	6787, 9691
	617, 881

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6787,9691 By Matching Biggest Common Factor Method

Now, list down the factors of 6787

1,11,617,6787

Now, list down the factors of 9691

1,11,881,9691

Greatest Common Factor

We found the factors 6787,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 6787,9691 is 11.

Lets's calculate LCM of 223,2554

Lowest Common Multiple of 223,2554 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 569542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/569542

Therefore, the GCF of Fractions 6787/223,9691/2554 is 11/569542

Least Common Multiple of 223,2554 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 223,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,2554) = 1

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

GCF(223,2554) x common factors =1 x 1 = 1

LCM(223,2554) = ( 223 × 2554 ) / 1

LCM(223,2554) = 569542 / 1

LCM(223,2554) = 569542

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FAQs on GCF of Fractions of 6787/223, 9691/2554

1. What is the HCF of 6787,9691?

The HCF of 6787,9691 is 11

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 6787/223, 9691/2554?

Answer: GCF of Numerators as per given numbers 6787/223, 9691/2554 is

GCF of Numerators i.e. for 6787,9691 is 11

LCM of denominators i.e. for 223,2554 is 569542.

Thus, GCF of Fractions is 11/569542.Finally, GCF of Fractions for 6787/223, 9691/2554 is 11/569542.