How to Find GCF of 1601/608, 8053/4216?

GCF of 1601/608, 8053/4216

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 1601/608, 8053/4216 i.e 1/320416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1601/608, 8053/4216.

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 1601/608,8053/4216?

Given fractions are 1601/608,8053/4216

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 1601/608,8053/4216, numerators are 1601,8053

Denominators are 608,4216

The GCF of 1601,8053 is 1 .

LCM of 608,4216 is 320416.

The greatest common factor of 1601/608,8053/4216 = [GCF of 1601,8053]/[LCM of 608,4216]= 1/320416

Therefore, the GCF of 1601/608,8053/4216 is 1/320416.

Greatest Common Factor of 1601,8053

To find the highest common factor of 1601,8053, we have to find the factors of both numbers and list the highest common factor.

The factors of 1601 are 1, 1601

The factors of 8053 are 1, 8053

The HCF of 1601,8053 is 1.

Lets's calculate GCF of 1601,8053

Greatest Common Factor (GCF) of 1601,8053 By Common Division

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

Greatest Common Factor of 1601,8053 By Matching Biggest Common Factor Method

Now, list down the factors of 1601

1,1601

Now, list down the factors of 8053

1,8053

Greatest Common Factor

We found the factors 1601,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 1601,8053 is 1.

Lets's calculate LCM of 608,4216

Lowest Common Multiple of 608,4216 using Common Division

2	608, 4216
2	304, 2108
2	152, 1054
	76, 527

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 527 = 320416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320416

Therefore, the GCF of Fractions 1601/608,8053/4216 is 1/320416

Least Common Multiple of 608,4216 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 608,4216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,4216) = 8

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

GCF(608,4216) x common factors =8 x 1 = 8

LCM(608,4216) = ( 608 × 4216 ) / 8

LCM(608,4216) = 2563328 / 8

LCM(608,4216) = 320416

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FAQs on GCF of Fractions of 1601/608, 8053/4216

1. What is the HCF of 1601,8053?

The HCF of 1601,8053 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 1601/608, 8053/4216?

Answer: GCF of Numerators as per given numbers 1601/608, 8053/4216 is

GCF of Numerators i.e. for 1601,8053 is 1

LCM of denominators i.e. for 608,4216 is 320416.

Thus, GCF of Fractions is 1/320416.Finally, GCF of Fractions for 1601/608, 8053/4216 is 1/320416.