How to Find GCF of 4850/261, 4658/7246?

GCF of 4850/261, 4658/7246

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 4850/261, 4658/7246 i.e 2/1891206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4850/261, 4658/7246.

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 4850/261,4658/7246?

Given fractions are 4850/261,4658/7246

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 4850/261,4658/7246, numerators are 4850,4658

Denominators are 261,7246

The GCF of 4850,4658 is 2 .

LCM of 261,7246 is 1891206.

The greatest common factor of 4850/261,4658/7246 = [GCF of 4850,4658]/[LCM of 261,7246]= 2/1891206

Therefore, the GCF of 4850/261,4658/7246 is 2/1891206.

Greatest Common Factor of 4850,4658

To find the highest common factor of 4850,4658, we have to find the factors of both numbers and list the highest common factor.

The factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850

The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658

The HCF of 4850,4658 is 2.

Lets's calculate GCF of 4850,4658

Greatest Common Factor (GCF) of 4850,4658 By Common Division

2	4850, 4658
	2425, 2329

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4850,4658 By Matching Biggest Common Factor Method

Now, list down the factors of 4850

1,2,5,10,25,50,97,194,485,970,2425,4850

Now, list down the factors of 4658

1,2,17,34,137,274,2329,4658

Greatest Common Factor

We found the factors 4850,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,4658 is 2.

Lets's calculate LCM of 261,7246

Lowest Common Multiple of 261,7246 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1891206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1891206

Therefore, the GCF of Fractions 4850/261,4658/7246 is 2/1891206

Least Common Multiple of 261,7246 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 261,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,7246) = 1

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

GCF(261,7246) x common factors =1 x 1 = 1

LCM(261,7246) = ( 261 × 7246 ) / 1

LCM(261,7246) = 1891206 / 1

LCM(261,7246) = 1891206

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FAQs on GCF of Fractions of 4850/261, 4658/7246

1. What is the HCF of 4850,4658?

The HCF of 4850,4658 is 2

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 4850/261, 4658/7246?

Answer: GCF of Numerators as per given numbers 4850/261, 4658/7246 is

GCF of Numerators i.e. for 4850,4658 is 2

LCM of denominators i.e. for 261,7246 is 1891206.

Thus, GCF of Fractions is 2/1891206.Finally, GCF of Fractions for 4850/261, 4658/7246 is 2/1891206.