How to Find GCF of 6769/751, 6077/7682?

GCF of 6769/751, 6077/7682

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 6769/751, 6077/7682 i.e 1/5769182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6769/751, 6077/7682.

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 6769/751,6077/7682?

Given fractions are 6769/751,6077/7682

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 6769/751,6077/7682, numerators are 6769,6077

Denominators are 751,7682

The GCF of 6769,6077 is 1 .

LCM of 751,7682 is 5769182.

The greatest common factor of 6769/751,6077/7682 = [GCF of 6769,6077]/[LCM of 751,7682]= 1/5769182

Therefore, the GCF of 6769/751,6077/7682 is 1/5769182.

Greatest Common Factor of 6769,6077

To find the highest common factor of 6769,6077, we have to find the factors of both numbers and list the highest common factor.

The factors of 6769 are 1, 7, 967, 6769

The factors of 6077 are 1, 59, 103, 6077

The HCF of 6769,6077 is 1.

Lets's calculate GCF of 6769,6077

Greatest Common Factor (GCF) of 6769,6077 By Common Division

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

Greatest Common Factor of 6769,6077 By Matching Biggest Common Factor Method

Now, list down the factors of 6769

1,7,967,6769

Now, list down the factors of 6077

1,59,103,6077

Greatest Common Factor

We found the factors 6769,6077 . The biggest common factor number is the GCF number.
So the greatest common factor 6769,6077 is 1.

Lets's calculate LCM of 751,7682

Lowest Common Multiple of 751,7682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5769182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5769182

Therefore, the GCF of Fractions 6769/751,6077/7682 is 1/5769182

Least Common Multiple of 751,7682 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 751,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,7682) = 1

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

GCF(751,7682) x common factors =1 x 1 = 1

LCM(751,7682) = ( 751 × 7682 ) / 1

LCM(751,7682) = 5769182 / 1

LCM(751,7682) = 5769182

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FAQs on GCF of Fractions of 6769/751, 6077/7682

1. What is the HCF of 6769,6077?

The HCF of 6769,6077 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 6769/751, 6077/7682?

Answer: GCF of Numerators as per given numbers 6769/751, 6077/7682 is

GCF of Numerators i.e. for 6769,6077 is 1

LCM of denominators i.e. for 751,7682 is 5769182.

Thus, GCF of Fractions is 1/5769182.Finally, GCF of Fractions for 6769/751, 6077/7682 is 1/5769182.