How to Find GCF of 3967/296, 4803/7160?

GCF of 3967/296, 4803/7160

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 3967/296, 4803/7160 i.e 1/264920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3967/296, 4803/7160.

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 3967/296,4803/7160?

Given fractions are 3967/296,4803/7160

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 3967/296,4803/7160, numerators are 3967,4803

Denominators are 296,7160

The GCF of 3967,4803 is 1 .

LCM of 296,7160 is 264920.

The greatest common factor of 3967/296,4803/7160 = [GCF of 3967,4803]/[LCM of 296,7160]= 1/264920

Therefore, the GCF of 3967/296,4803/7160 is 1/264920.

Greatest Common Factor of 3967,4803

To find the highest common factor of 3967,4803, we have to find the factors of both numbers and list the highest common factor.

The factors of 3967 are 1, 3967

The factors of 4803 are 1, 3, 1601, 4803

The HCF of 3967,4803 is 1.

Lets's calculate GCF of 3967,4803

Greatest Common Factor (GCF) of 3967,4803 By Common Division

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

Greatest Common Factor of 3967,4803 By Matching Biggest Common Factor Method

Now, list down the factors of 3967

1,3967

Now, list down the factors of 4803

1,3,1601,4803

Greatest Common Factor

We found the factors 3967,4803 . The biggest common factor number is the GCF number.
So the greatest common factor 3967,4803 is 1.

Lets's calculate LCM of 296,7160

Lowest Common Multiple of 296,7160 using Common Division

2	296, 7160
2	148, 3580
2	74, 1790
	37, 895

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 895 = 264920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264920

Therefore, the GCF of Fractions 3967/296,4803/7160 is 1/264920

Least Common Multiple of 296,7160 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 296,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,7160) = 8

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

GCF(296,7160) x common factors =8 x 1 = 8

LCM(296,7160) = ( 296 × 7160 ) / 8

LCM(296,7160) = 2119360 / 8

LCM(296,7160) = 264920

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FAQs on GCF of Fractions of 3967/296, 4803/7160

1. What is the HCF of 3967,4803?

The HCF of 3967,4803 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 3967/296, 4803/7160?

Answer: GCF of Numerators as per given numbers 3967/296, 4803/7160 is

GCF of Numerators i.e. for 3967,4803 is 1

LCM of denominators i.e. for 296,7160 is 264920.

Thus, GCF of Fractions is 1/264920.Finally, GCF of Fractions for 3967/296, 4803/7160 is 1/264920.