How to Find GCF of 5058/608, 2645/8760?

GCF of 5058/608, 2645/8760

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 5058/608, 2645/8760 i.e 1/665760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5058/608, 2645/8760.

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 5058/608,2645/8760?

Given fractions are 5058/608,2645/8760

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 5058/608,2645/8760, numerators are 5058,2645

Denominators are 608,8760

The GCF of 5058,2645 is 1 .

LCM of 608,8760 is 665760.

The greatest common factor of 5058/608,2645/8760 = [GCF of 5058,2645]/[LCM of 608,8760]= 1/665760

Therefore, the GCF of 5058/608,2645/8760 is 1/665760.

Greatest Common Factor of 5058,2645

To find the highest common factor of 5058,2645, we have to find the factors of both numbers and list the highest common factor.

The factors of 5058 are 1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529, 5058

The factors of 2645 are 1, 5, 23, 115, 529, 2645

The HCF of 5058,2645 is 1.

Lets's calculate GCF of 5058,2645

Greatest Common Factor (GCF) of 5058,2645 By Common Division

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

Greatest Common Factor of 5058,2645 By Matching Biggest Common Factor Method

Now, list down the factors of 5058

1,2,3,6,9,18,281,562,843,1686,2529,5058

Now, list down the factors of 2645

1,5,23,115,529,2645

Greatest Common Factor

We found the factors 5058,2645 . The biggest common factor number is the GCF number.
So the greatest common factor 5058,2645 is 1.

Lets's calculate LCM of 608,8760

Lowest Common Multiple of 608,8760 using Common Division

2	608, 8760
2	304, 4380
2	152, 2190
	76, 1095

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 1095 = 665760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665760

Therefore, the GCF of Fractions 5058/608,2645/8760 is 1/665760

Least Common Multiple of 608,8760 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 608,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,8760) = 8

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

GCF(608,8760) x common factors =8 x 1 = 8

LCM(608,8760) = ( 608 × 8760 ) / 8

LCM(608,8760) = 5326080 / 8

LCM(608,8760) = 665760

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5058/608, 2645/8760

1. What is the HCF of 5058,2645?

The HCF of 5058,2645 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 5058/608, 2645/8760?

Answer: GCF of Numerators as per given numbers 5058/608, 2645/8760 is

GCF of Numerators i.e. for 5058,2645 is 1

LCM of denominators i.e. for 608,8760 is 665760.

Thus, GCF of Fractions is 1/665760.Finally, GCF of Fractions for 5058/608, 2645/8760 is 1/665760.