How to Find GCF of 4515/688, 6296/5640?

GCF of 4515/688, 6296/5640

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 4515/688, 6296/5640 i.e 1/485040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4515/688, 6296/5640.

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 4515/688,6296/5640?

Given fractions are 4515/688,6296/5640

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 4515/688,6296/5640, numerators are 4515,6296

Denominators are 688,5640

The GCF of 4515,6296 is 1 .

LCM of 688,5640 is 485040.

The greatest common factor of 4515/688,6296/5640 = [GCF of 4515,6296]/[LCM of 688,5640]= 1/485040

Therefore, the GCF of 4515/688,6296/5640 is 1/485040.

Greatest Common Factor of 4515,6296

To find the highest common factor of 4515,6296, we have to find the factors of both numbers and list the highest common factor.

The factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515

The factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296

The HCF of 4515,6296 is 1.

Lets's calculate GCF of 4515,6296

Greatest Common Factor (GCF) of 4515,6296 By Common Division

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

Greatest Common Factor of 4515,6296 By Matching Biggest Common Factor Method

Now, list down the factors of 4515

1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515

Now, list down the factors of 6296

1,2,4,8,787,1574,3148,6296

Greatest Common Factor

We found the factors 4515,6296 . The biggest common factor number is the GCF number.
So the greatest common factor 4515,6296 is 1.

Lets's calculate LCM of 688,5640

Lowest Common Multiple of 688,5640 using Common Division

2	688, 5640
2	344, 2820
2	172, 1410
	86, 705

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 705 = 485040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485040

Therefore, the GCF of Fractions 4515/688,6296/5640 is 1/485040

Least Common Multiple of 688,5640 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 688,5640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,5640) = 8

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

GCF(688,5640) x common factors =8 x 1 = 8

LCM(688,5640) = ( 688 × 5640 ) / 8

LCM(688,5640) = 3880320 / 8

LCM(688,5640) = 485040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4515/688, 6296/5640

1. What is the HCF of 4515,6296?

The HCF of 4515,6296 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 4515/688, 6296/5640?

Answer: GCF of Numerators as per given numbers 4515/688, 6296/5640 is

GCF of Numerators i.e. for 4515,6296 is 1

LCM of denominators i.e. for 688,5640 is 485040.

Thus, GCF of Fractions is 1/485040.Finally, GCF of Fractions for 4515/688, 6296/5640 is 1/485040.