How to Find GCF of 345/483, 6769/808?

GCF of 345/483, 6769/808

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 345/483, 6769/808 i.e 1/390264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 345/483, 6769/808.

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 345/483,6769/808?

Given fractions are 345/483,6769/808

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 345/483,6769/808, numerators are 345,6769

Denominators are 483,808

The GCF of 345,6769 is 1 .

LCM of 483,808 is 390264.

The greatest common factor of 345/483,6769/808 = [GCF of 345,6769]/[LCM of 483,808]= 1/390264

Therefore, the GCF of 345/483,6769/808 is 1/390264.

Greatest Common Factor of 345,6769

To find the highest common factor of 345,6769, we have to find the factors of both numbers and list the highest common factor.

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

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

The HCF of 345,6769 is 1.

Lets's calculate GCF of 345,6769

Greatest Common Factor (GCF) of 345,6769 By Common Division

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

Greatest Common Factor of 345,6769 By Matching Biggest Common Factor Method

Now, list down the factors of 345

1,3,5,15,23,69,115,345

Now, list down the factors of 6769

1,7,967,6769

Greatest Common Factor

We found the factors 345,6769 . The biggest common factor number is the GCF number.
So the greatest common factor 345,6769 is 1.

Lets's calculate LCM of 483,808

Lowest Common Multiple of 483,808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 390264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390264

Therefore, the GCF of Fractions 345/483,6769/808 is 1/390264

Least Common Multiple of 483,808 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 483,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,808) = 1

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

GCF(483,808) x common factors =1 x 1 = 1

LCM(483,808) = ( 483 × 808 ) / 1

LCM(483,808) = 390264 / 1

LCM(483,808) = 390264

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FAQs on GCF of Fractions of 345/483, 6769/808

1. What is the HCF of 345,6769?

The HCF of 345,6769 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 345/483, 6769/808?

Answer: GCF of Numerators as per given numbers 345/483, 6769/808 is

GCF of Numerators i.e. for 345,6769 is 1

LCM of denominators i.e. for 483,808 is 390264.

Thus, GCF of Fractions is 1/390264.Finally, GCF of Fractions for 345/483, 6769/808 is 1/390264.