How to Find GCF of 6416/148, 5449/6350?

GCF of 6416/148, 5449/6350

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 6416/148, 5449/6350 i.e 1/469900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6416/148, 5449/6350.

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 6416/148,5449/6350?

Given fractions are 6416/148,5449/6350

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 6416/148,5449/6350, numerators are 6416,5449

Denominators are 148,6350

The GCF of 6416,5449 is 1 .

LCM of 148,6350 is 469900.

The greatest common factor of 6416/148,5449/6350 = [GCF of 6416,5449]/[LCM of 148,6350]= 1/469900

Therefore, the GCF of 6416/148,5449/6350 is 1/469900.

Greatest Common Factor of 6416,5449

To find the highest common factor of 6416,5449, we have to find the factors of both numbers and list the highest common factor.

The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

The factors of 5449 are 1, 5449

The HCF of 6416,5449 is 1.

Lets's calculate GCF of 6416,5449

Greatest Common Factor (GCF) of 6416,5449 By Common Division

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

Greatest Common Factor of 6416,5449 By Matching Biggest Common Factor Method

Now, list down the factors of 6416

1,2,4,8,16,401,802,1604,3208,6416

Now, list down the factors of 5449

1,5449

Greatest Common Factor

We found the factors 6416,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 6416,5449 is 1.

Lets's calculate LCM of 148,6350

Lowest Common Multiple of 148,6350 using Common Division

2	148, 6350
	74, 3175

∴ So the LCM of the given numbers is 2 x 74 x 3175 = 469900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469900

Therefore, the GCF of Fractions 6416/148,5449/6350 is 1/469900

Least Common Multiple of 148,6350 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 148,6350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,6350) = 2

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

GCF(148,6350) x common factors =2 x 1 = 2

LCM(148,6350) = ( 148 × 6350 ) / 2

LCM(148,6350) = 939800 / 2

LCM(148,6350) = 469900

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FAQs on GCF of Fractions of 6416/148, 5449/6350

1. What is the HCF of 6416,5449?

The HCF of 6416,5449 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 6416/148, 5449/6350?

Answer: GCF of Numerators as per given numbers 6416/148, 5449/6350 is

GCF of Numerators i.e. for 6416,5449 is 1

LCM of denominators i.e. for 148,6350 is 469900.

Thus, GCF of Fractions is 1/469900.Finally, GCF of Fractions for 6416/148, 5449/6350 is 1/469900.