How to Find GCF of 4795/960, 6506/6149?

GCF of 4795/960, 6506/6149

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 4795/960, 6506/6149 i.e 1/5903040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4795/960, 6506/6149.

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 4795/960,6506/6149?

Given fractions are 4795/960,6506/6149

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 4795/960,6506/6149, numerators are 4795,6506

Denominators are 960,6149

The GCF of 4795,6506 is 1 .

LCM of 960,6149 is 5903040.

The greatest common factor of 4795/960,6506/6149 = [GCF of 4795,6506]/[LCM of 960,6149]= 1/5903040

Therefore, the GCF of 4795/960,6506/6149 is 1/5903040.

Greatest Common Factor of 4795,6506

To find the highest common factor of 4795,6506, we have to find the factors of both numbers and list the highest common factor.

The factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795

The factors of 6506 are 1, 2, 3253, 6506

The HCF of 4795,6506 is 1.

Lets's calculate GCF of 4795,6506

Greatest Common Factor (GCF) of 4795,6506 By Common Division

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

Greatest Common Factor of 4795,6506 By Matching Biggest Common Factor Method

Now, list down the factors of 4795

1,5,7,35,137,685,959,4795

Now, list down the factors of 6506

1,2,3253,6506

Greatest Common Factor

We found the factors 4795,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 4795,6506 is 1.

Lets's calculate LCM of 960,6149

Lowest Common Multiple of 960,6149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5903040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5903040

Therefore, the GCF of Fractions 4795/960,6506/6149 is 1/5903040

Least Common Multiple of 960,6149 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 960,6149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,6149) = 1

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

GCF(960,6149) x common factors =1 x 1 = 1

LCM(960,6149) = ( 960 × 6149 ) / 1

LCM(960,6149) = 5903040 / 1

LCM(960,6149) = 5903040

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FAQs on GCF of Fractions of 4795/960, 6506/6149

1. What is the HCF of 4795,6506?

The HCF of 4795,6506 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 4795/960, 6506/6149?

Answer: GCF of Numerators as per given numbers 4795/960, 6506/6149 is

GCF of Numerators i.e. for 4795,6506 is 1

LCM of denominators i.e. for 960,6149 is 5903040.

Thus, GCF of Fractions is 1/5903040.Finally, GCF of Fractions for 4795/960, 6506/6149 is 1/5903040.