How to Find GCF of 6745/481, 1303/9649?

GCF of 6745/481, 1303/9649

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 6745/481, 1303/9649 i.e 1/4641169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6745/481, 1303/9649.

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 6745/481,1303/9649?

Given fractions are 6745/481,1303/9649

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 6745/481,1303/9649, numerators are 6745,1303

Denominators are 481,9649

The GCF of 6745,1303 is 1 .

LCM of 481,9649 is 4641169.

The greatest common factor of 6745/481,1303/9649 = [GCF of 6745,1303]/[LCM of 481,9649]= 1/4641169

Therefore, the GCF of 6745/481,1303/9649 is 1/4641169.

Greatest Common Factor of 6745,1303

To find the highest common factor of 6745,1303, we have to find the factors of both numbers and list the highest common factor.

The factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745

The factors of 1303 are 1, 1303

The HCF of 6745,1303 is 1.

Lets's calculate GCF of 6745,1303

Greatest Common Factor (GCF) of 6745,1303 By Common Division

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

Greatest Common Factor of 6745,1303 By Matching Biggest Common Factor Method

Now, list down the factors of 6745

1,5,19,71,95,355,1349,6745

Now, list down the factors of 1303

1,1303

Greatest Common Factor

We found the factors 6745,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 6745,1303 is 1.

Lets's calculate LCM of 481,9649

Lowest Common Multiple of 481,9649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4641169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4641169

Therefore, the GCF of Fractions 6745/481,1303/9649 is 1/4641169

Least Common Multiple of 481,9649 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 481,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,9649) = 1

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

GCF(481,9649) x common factors =1 x 1 = 1

LCM(481,9649) = ( 481 × 9649 ) / 1

LCM(481,9649) = 4641169 / 1

LCM(481,9649) = 4641169

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FAQs on GCF of Fractions of 6745/481, 1303/9649

1. What is the HCF of 6745,1303?

The HCF of 6745,1303 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 6745/481, 1303/9649?

Answer: GCF of Numerators as per given numbers 6745/481, 1303/9649 is

GCF of Numerators i.e. for 6745,1303 is 1

LCM of denominators i.e. for 481,9649 is 4641169.

Thus, GCF of Fractions is 1/4641169.Finally, GCF of Fractions for 6745/481, 1303/9649 is 1/4641169.