How to Find GCF of 4654/480, 5177/3496?

GCF of 4654/480, 5177/3496

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 4654/480, 5177/3496 i.e 1/209760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4654/480, 5177/3496.

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 4654/480,5177/3496?

Given fractions are 4654/480,5177/3496

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 4654/480,5177/3496, numerators are 4654,5177

Denominators are 480,3496

The GCF of 4654,5177 is 1 .

LCM of 480,3496 is 209760.

The greatest common factor of 4654/480,5177/3496 = [GCF of 4654,5177]/[LCM of 480,3496]= 1/209760

Therefore, the GCF of 4654/480,5177/3496 is 1/209760.

Greatest Common Factor of 4654,5177

To find the highest common factor of 4654,5177, we have to find the factors of both numbers and list the highest common factor.

The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654

The factors of 5177 are 1, 31, 167, 5177

The HCF of 4654,5177 is 1.

Lets's calculate GCF of 4654,5177

Greatest Common Factor (GCF) of 4654,5177 By Common Division

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

Greatest Common Factor of 4654,5177 By Matching Biggest Common Factor Method

Now, list down the factors of 4654

1,2,13,26,179,358,2327,4654

Now, list down the factors of 5177

1,31,167,5177

Greatest Common Factor

We found the factors 4654,5177 . The biggest common factor number is the GCF number.
So the greatest common factor 4654,5177 is 1.

Lets's calculate LCM of 480,3496

Lowest Common Multiple of 480,3496 using Common Division

2	480, 3496
2	240, 1748
2	120, 874
	60, 437

∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 437 = 209760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209760

Therefore, the GCF of Fractions 4654/480,5177/3496 is 1/209760

Least Common Multiple of 480,3496 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 480,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,3496) = 8

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

GCF(480,3496) x common factors =8 x 1 = 8

LCM(480,3496) = ( 480 × 3496 ) / 8

LCM(480,3496) = 1678080 / 8

LCM(480,3496) = 209760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4654/480, 5177/3496

1. What is the HCF of 4654,5177?

The HCF of 4654,5177 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 4654/480, 5177/3496?

Answer: GCF of Numerators as per given numbers 4654/480, 5177/3496 is

GCF of Numerators i.e. for 4654,5177 is 1

LCM of denominators i.e. for 480,3496 is 209760.

Thus, GCF of Fractions is 1/209760.Finally, GCF of Fractions for 4654/480, 5177/3496 is 1/209760.