How to Find GCF of 4834/420, 7611/5060?

GCF of 4834/420, 7611/5060

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 4834/420, 7611/5060 i.e 1/106260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4834/420, 7611/5060.

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 4834/420,7611/5060?

Given fractions are 4834/420,7611/5060

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 4834/420,7611/5060, numerators are 4834,7611

Denominators are 420,5060

The GCF of 4834,7611 is 1 .

LCM of 420,5060 is 106260.

The greatest common factor of 4834/420,7611/5060 = [GCF of 4834,7611]/[LCM of 420,5060]= 1/106260

Therefore, the GCF of 4834/420,7611/5060 is 1/106260.

Greatest Common Factor of 4834,7611

To find the highest common factor of 4834,7611, we have to find the factors of both numbers and list the highest common factor.

The factors of 4834 are 1, 2, 2417, 4834

The factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611

The HCF of 4834,7611 is 1.

Lets's calculate GCF of 4834,7611

Greatest Common Factor (GCF) of 4834,7611 By Common Division

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

Greatest Common Factor of 4834,7611 By Matching Biggest Common Factor Method

Now, list down the factors of 4834

1,2,2417,4834

Now, list down the factors of 7611

1,3,43,59,129,177,2537,7611

Greatest Common Factor

We found the factors 4834,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 4834,7611 is 1.

Lets's calculate LCM of 420,5060

Lowest Common Multiple of 420,5060 using Common Division

2	420, 5060
2	210, 2530
5	105, 1265
	21, 253

∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 253 = 106260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106260

Therefore, the GCF of Fractions 4834/420,7611/5060 is 1/106260

Least Common Multiple of 420,5060 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 420,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,5060) = 20

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

GCF(420,5060) x common factors =20 x 1 = 20

LCM(420,5060) = ( 420 × 5060 ) / 20

LCM(420,5060) = 2125200 / 20

LCM(420,5060) = 106260

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FAQs on GCF of Fractions of 4834/420, 7611/5060

1. What is the HCF of 4834,7611?

The HCF of 4834,7611 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 4834/420, 7611/5060?

Answer: GCF of Numerators as per given numbers 4834/420, 7611/5060 is

GCF of Numerators i.e. for 4834,7611 is 1

LCM of denominators i.e. for 420,5060 is 106260.

Thus, GCF of Fractions is 1/106260.Finally, GCF of Fractions for 4834/420, 7611/5060 is 1/106260.