How to Find GCF of 6778/765, 4598/167?

GCF of 6778/765, 4598/167

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 6778/765, 4598/167 i.e 2/127755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6778/765, 4598/167.

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 6778/765,4598/167?

Given fractions are 6778/765,4598/167

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 6778/765,4598/167, numerators are 6778,4598

Denominators are 765,167

The GCF of 6778,4598 is 2 .

LCM of 765,167 is 127755.

The greatest common factor of 6778/765,4598/167 = [GCF of 6778,4598]/[LCM of 765,167]= 2/127755

Therefore, the GCF of 6778/765,4598/167 is 2/127755.

Greatest Common Factor of 6778,4598

To find the highest common factor of 6778,4598, we have to find the factors of both numbers and list the highest common factor.

The factors of 6778 are 1, 2, 3389, 6778

The factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598

The HCF of 6778,4598 is 2.

Lets's calculate GCF of 6778,4598

Greatest Common Factor (GCF) of 6778,4598 By Common Division

2	6778, 4598
	3389, 2299

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

Greatest Common Factor of 6778,4598 By Matching Biggest Common Factor Method

Now, list down the factors of 6778

1,2,3389,6778

Now, list down the factors of 4598

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 6778,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,4598 is 2.

Lets's calculate LCM of 765,167

Lowest Common Multiple of 765,167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127755

Therefore, the GCF of Fractions 6778/765,4598/167 is 2/127755

Least Common Multiple of 765,167 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 765,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,167) = 1

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

GCF(765,167) x common factors =1 x 1 = 1

LCM(765,167) = ( 765 × 167 ) / 1

LCM(765,167) = 127755 / 1

LCM(765,167) = 127755

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FAQs on GCF of Fractions of 6778/765, 4598/167

1. What is the HCF of 6778,4598?

The HCF of 6778,4598 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 6778/765, 4598/167?

Answer: GCF of Numerators as per given numbers 6778/765, 4598/167 is

GCF of Numerators i.e. for 6778,4598 is 2

LCM of denominators i.e. for 765,167 is 127755.

Thus, GCF of Fractions is 2/127755.Finally, GCF of Fractions for 6778/765, 4598/167 is 2/127755.