How to Find GCF of 4151/128, 6458/6160?

GCF of 4151/128, 6458/6160

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 4151/128, 6458/6160 i.e 1/49280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4151/128, 6458/6160.

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 4151/128,6458/6160?

Given fractions are 4151/128,6458/6160

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 4151/128,6458/6160, numerators are 4151,6458

Denominators are 128,6160

The GCF of 4151,6458 is 1 .

LCM of 128,6160 is 49280.

The greatest common factor of 4151/128,6458/6160 = [GCF of 4151,6458]/[LCM of 128,6160]= 1/49280

Therefore, the GCF of 4151/128,6458/6160 is 1/49280.

Greatest Common Factor of 4151,6458

To find the highest common factor of 4151,6458, we have to find the factors of both numbers and list the highest common factor.

The factors of 4151 are 1, 7, 593, 4151

The factors of 6458 are 1, 2, 3229, 6458

The HCF of 4151,6458 is 1.

Lets's calculate GCF of 4151,6458

Greatest Common Factor (GCF) of 4151,6458 By Common Division

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

Greatest Common Factor of 4151,6458 By Matching Biggest Common Factor Method

Now, list down the factors of 4151

1,7,593,4151

Now, list down the factors of 6458

1,2,3229,6458

Greatest Common Factor

We found the factors 4151,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 4151,6458 is 1.

Lets's calculate LCM of 128,6160

Lowest Common Multiple of 128,6160 using Common Division

2	128, 6160
2	64, 3080
2	32, 1540
2	16, 770
	8, 385

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 8 x 385 = 49280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49280

Therefore, the GCF of Fractions 4151/128,6458/6160 is 1/49280

Least Common Multiple of 128,6160 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 128,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,6160) = 16

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

GCF(128,6160) x common factors =16 x 1 = 16

LCM(128,6160) = ( 128 × 6160 ) / 16

LCM(128,6160) = 788480 / 16

LCM(128,6160) = 49280

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FAQs on GCF of Fractions of 4151/128, 6458/6160

1. What is the HCF of 4151,6458?

The HCF of 4151,6458 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 4151/128, 6458/6160?

Answer: GCF of Numerators as per given numbers 4151/128, 6458/6160 is

GCF of Numerators i.e. for 4151,6458 is 1

LCM of denominators i.e. for 128,6160 is 49280.

Thus, GCF of Fractions is 1/49280.Finally, GCF of Fractions for 4151/128, 6458/6160 is 1/49280.