How to Find GCF of 1063/283, 1607/4574?

GCF of 1063/283, 1607/4574

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 1063/283, 1607/4574 i.e 1/1294442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1063/283, 1607/4574.

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 1063/283,1607/4574?

Given fractions are 1063/283,1607/4574

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 1063/283,1607/4574, numerators are 1063,1607

Denominators are 283,4574

The GCF of 1063,1607 is 1 .

LCM of 283,4574 is 1294442.

The greatest common factor of 1063/283,1607/4574 = [GCF of 1063,1607]/[LCM of 283,4574]= 1/1294442

Therefore, the GCF of 1063/283,1607/4574 is 1/1294442.

Greatest Common Factor of 1063,1607

To find the highest common factor of 1063,1607, we have to find the factors of both numbers and list the highest common factor.

The factors of 1063 are 1, 1063

The factors of 1607 are 1, 1607

The HCF of 1063,1607 is 1.

Lets's calculate GCF of 1063,1607

Greatest Common Factor (GCF) of 1063,1607 By Common Division

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

Greatest Common Factor of 1063,1607 By Matching Biggest Common Factor Method

Now, list down the factors of 1063

1,1063

Now, list down the factors of 1607

1,1607

Greatest Common Factor

We found the factors 1063,1607 . The biggest common factor number is the GCF number.
So the greatest common factor 1063,1607 is 1.

Lets's calculate LCM of 283,4574

Lowest Common Multiple of 283,4574 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1294442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1294442

Therefore, the GCF of Fractions 1063/283,1607/4574 is 1/1294442

Least Common Multiple of 283,4574 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 283,4574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,4574) = 1

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

GCF(283,4574) x common factors =1 x 1 = 1

LCM(283,4574) = ( 283 × 4574 ) / 1

LCM(283,4574) = 1294442 / 1

LCM(283,4574) = 1294442

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FAQs on GCF of Fractions of 1063/283, 1607/4574

1. What is the HCF of 1063,1607?

The HCF of 1063,1607 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 1063/283, 1607/4574?

Answer: GCF of Numerators as per given numbers 1063/283, 1607/4574 is

GCF of Numerators i.e. for 1063,1607 is 1

LCM of denominators i.e. for 283,4574 is 1294442.

Thus, GCF of Fractions is 1/1294442.Finally, GCF of Fractions for 1063/283, 1607/4574 is 1/1294442.