How to Find GCF of 6435/898, 2912/1455?

GCF of 6435/898, 2912/1455

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 6435/898, 2912/1455 i.e 13/1306590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6435/898, 2912/1455.

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 6435/898,2912/1455?

Given fractions are 6435/898,2912/1455

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 6435/898,2912/1455, numerators are 6435,2912

Denominators are 898,1455

The GCF of 6435,2912 is 13 .

LCM of 898,1455 is 1306590.

The greatest common factor of 6435/898,2912/1455 = [GCF of 6435,2912]/[LCM of 898,1455]= 13/1306590

Therefore, the GCF of 6435/898,2912/1455 is 13/1306590.

Greatest Common Factor of 6435,2912

To find the highest common factor of 6435,2912, we have to find the factors of both numbers and list the highest common factor.

The factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435

The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

The HCF of 6435,2912 is 13.

Lets's calculate GCF of 6435,2912

Greatest Common Factor (GCF) of 6435,2912 By Common Division

13	6435, 2912
	495, 224

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6435,2912 By Matching Biggest Common Factor Method

Now, list down the factors of 6435

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Now, list down the factors of 2912

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 6435,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,2912 is 13.

Lets's calculate LCM of 898,1455

Lowest Common Multiple of 898,1455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1306590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1306590

Therefore, the GCF of Fractions 6435/898,2912/1455 is 13/1306590

Least Common Multiple of 898,1455 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 898,1455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,1455) = 1

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

GCF(898,1455) x common factors =1 x 1 = 1

LCM(898,1455) = ( 898 × 1455 ) / 1

LCM(898,1455) = 1306590 / 1

LCM(898,1455) = 1306590

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6435/898, 2912/1455

1. What is the HCF of 6435,2912?

The HCF of 6435,2912 is 13

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 6435/898, 2912/1455?

Answer: GCF of Numerators as per given numbers 6435/898, 2912/1455 is

GCF of Numerators i.e. for 6435,2912 is 13

LCM of denominators i.e. for 898,1455 is 1306590.

Thus, GCF of Fractions is 13/1306590.Finally, GCF of Fractions for 6435/898, 2912/1455 is 13/1306590.