How to Find GCF of 4801/920, 7067/5658?

GCF of 4801/920, 7067/5658

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 4801/920, 7067/5658 i.e 1/113160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4801/920, 7067/5658.

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 4801/920,7067/5658?

Given fractions are 4801/920,7067/5658

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 4801/920,7067/5658, numerators are 4801,7067

Denominators are 920,5658

The GCF of 4801,7067 is 1 .

LCM of 920,5658 is 113160.

The greatest common factor of 4801/920,7067/5658 = [GCF of 4801,7067]/[LCM of 920,5658]= 1/113160

Therefore, the GCF of 4801/920,7067/5658 is 1/113160.

Greatest Common Factor of 4801,7067

To find the highest common factor of 4801,7067, we have to find the factors of both numbers and list the highest common factor.

The factors of 4801 are 1, 4801

The factors of 7067 are 1, 37, 191, 7067

The HCF of 4801,7067 is 1.

Lets's calculate GCF of 4801,7067

Greatest Common Factor (GCF) of 4801,7067 By Common Division

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

Greatest Common Factor of 4801,7067 By Matching Biggest Common Factor Method

Now, list down the factors of 4801

1,4801

Now, list down the factors of 7067

1,37,191,7067

Greatest Common Factor

We found the factors 4801,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 4801,7067 is 1.

Lets's calculate LCM of 920,5658

Lowest Common Multiple of 920,5658 using Common Division

2	920, 5658
23	460, 2829
	20, 123

∴ So the LCM of the given numbers is 2 x 23 x 20 x 123 = 113160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113160

Therefore, the GCF of Fractions 4801/920,7067/5658 is 1/113160

Least Common Multiple of 920,5658 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 920,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,5658) = 46

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

GCF(920,5658) x common factors =46 x 1 = 46

LCM(920,5658) = ( 920 × 5658 ) / 46

LCM(920,5658) = 5205360 / 46

LCM(920,5658) = 113160

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FAQs on GCF of Fractions of 4801/920, 7067/5658

1. What is the HCF of 4801,7067?

The HCF of 4801,7067 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 4801/920, 7067/5658?

Answer: GCF of Numerators as per given numbers 4801/920, 7067/5658 is

GCF of Numerators i.e. for 4801,7067 is 1

LCM of denominators i.e. for 920,5658 is 113160.

Thus, GCF of Fractions is 1/113160.Finally, GCF of Fractions for 4801/920, 7067/5658 is 1/113160.