How to Find GCF of 3823/960, 4012/7561?

GCF of 3823/960, 4012/7561

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 3823/960, 4012/7561 i.e 1/7258560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3823/960, 4012/7561.

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 3823/960,4012/7561?

Given fractions are 3823/960,4012/7561

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 3823/960,4012/7561, numerators are 3823,4012

Denominators are 960,7561

The GCF of 3823,4012 is 1 .

LCM of 960,7561 is 7258560.

The greatest common factor of 3823/960,4012/7561 = [GCF of 3823,4012]/[LCM of 960,7561]= 1/7258560

Therefore, the GCF of 3823/960,4012/7561 is 1/7258560.

Greatest Common Factor of 3823,4012

To find the highest common factor of 3823,4012, we have to find the factors of both numbers and list the highest common factor.

The factors of 3823 are 1, 3823

The factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012

The HCF of 3823,4012 is 1.

Lets's calculate GCF of 3823,4012

Greatest Common Factor (GCF) of 3823,4012 By Common Division

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

Greatest Common Factor of 3823,4012 By Matching Biggest Common Factor Method

Now, list down the factors of 3823

1,3823

Now, list down the factors of 4012

1,2,4,17,34,59,68,118,236,1003,2006,4012

Greatest Common Factor

We found the factors 3823,4012 . The biggest common factor number is the GCF number.
So the greatest common factor 3823,4012 is 1.

Lets's calculate LCM of 960,7561

Lowest Common Multiple of 960,7561 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7258560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7258560

Therefore, the GCF of Fractions 3823/960,4012/7561 is 1/7258560

Least Common Multiple of 960,7561 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 960,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,7561) = 1

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

GCF(960,7561) x common factors =1 x 1 = 1

LCM(960,7561) = ( 960 × 7561 ) / 1

LCM(960,7561) = 7258560 / 1

LCM(960,7561) = 7258560

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FAQs on GCF of Fractions of 3823/960, 4012/7561

1. What is the HCF of 3823,4012?

The HCF of 3823,4012 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 3823/960, 4012/7561?

Answer: GCF of Numerators as per given numbers 3823/960, 4012/7561 is

GCF of Numerators i.e. for 3823,4012 is 1

LCM of denominators i.e. for 960,7561 is 7258560.

Thus, GCF of Fractions is 1/7258560.Finally, GCF of Fractions for 3823/960, 4012/7561 is 1/7258560.