How to Find GCF of 1170/438, 6419/8128?

GCF of 1170/438, 6419/8128

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 1170/438, 6419/8128 i.e 1/1780032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1170/438, 6419/8128.

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 1170/438,6419/8128?

Given fractions are 1170/438,6419/8128

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 1170/438,6419/8128, numerators are 1170,6419

Denominators are 438,8128

The GCF of 1170,6419 is 1 .

LCM of 438,8128 is 1780032.

The greatest common factor of 1170/438,6419/8128 = [GCF of 1170,6419]/[LCM of 438,8128]= 1/1780032

Therefore, the GCF of 1170/438,6419/8128 is 1/1780032.

Greatest Common Factor of 1170,6419

To find the highest common factor of 1170,6419, we have to find the factors of both numbers and list the highest common factor.

The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

The factors of 6419 are 1, 7, 49, 131, 917, 6419

The HCF of 1170,6419 is 1.

Lets's calculate GCF of 1170,6419

Greatest Common Factor (GCF) of 1170,6419 By Common Division

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

Greatest Common Factor of 1170,6419 By Matching Biggest Common Factor Method

Now, list down the factors of 1170

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Now, list down the factors of 6419

1,7,49,131,917,6419

Greatest Common Factor

We found the factors 1170,6419 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,6419 is 1.

Lets's calculate LCM of 438,8128

Lowest Common Multiple of 438,8128 using Common Division

2	438, 8128
	219, 4064

∴ So the LCM of the given numbers is 2 x 219 x 4064 = 1780032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780032

Therefore, the GCF of Fractions 1170/438,6419/8128 is 1/1780032

Least Common Multiple of 438,8128 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 438,8128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,8128) = 2

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

GCF(438,8128) x common factors =2 x 1 = 2

LCM(438,8128) = ( 438 × 8128 ) / 2

LCM(438,8128) = 3560064 / 2

LCM(438,8128) = 1780032

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FAQs on GCF of Fractions of 1170/438, 6419/8128

1. What is the HCF of 1170,6419?

The HCF of 1170,6419 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 1170/438, 6419/8128?

Answer: GCF of Numerators as per given numbers 1170/438, 6419/8128 is

GCF of Numerators i.e. for 1170,6419 is 1

LCM of denominators i.e. for 438,8128 is 1780032.

Thus, GCF of Fractions is 1/1780032.Finally, GCF of Fractions for 1170/438, 6419/8128 is 1/1780032.