How to Find GCF of 3053/287, 5185/4546?

GCF of 3053/287, 5185/4546

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 3053/287, 5185/4546 i.e 1/1304702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3053/287, 5185/4546.

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 3053/287,5185/4546?

Given fractions are 3053/287,5185/4546

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 3053/287,5185/4546, numerators are 3053,5185

Denominators are 287,4546

The GCF of 3053,5185 is 1 .

LCM of 287,4546 is 1304702.

The greatest common factor of 3053/287,5185/4546 = [GCF of 3053,5185]/[LCM of 287,4546]= 1/1304702

Therefore, the GCF of 3053/287,5185/4546 is 1/1304702.

Greatest Common Factor of 3053,5185

To find the highest common factor of 3053,5185, we have to find the factors of both numbers and list the highest common factor.

The factors of 3053 are 1, 43, 71, 3053

The factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185

The HCF of 3053,5185 is 1.

Lets's calculate GCF of 3053,5185

Greatest Common Factor (GCF) of 3053,5185 By Common Division

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

Greatest Common Factor of 3053,5185 By Matching Biggest Common Factor Method

Now, list down the factors of 3053

1,43,71,3053

Now, list down the factors of 5185

1,5,17,61,85,305,1037,5185

Greatest Common Factor

We found the factors 3053,5185 . The biggest common factor number is the GCF number.
So the greatest common factor 3053,5185 is 1.

Lets's calculate LCM of 287,4546

Lowest Common Multiple of 287,4546 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1304702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1304702

Therefore, the GCF of Fractions 3053/287,5185/4546 is 1/1304702

Least Common Multiple of 287,4546 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 287,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,4546) = 1

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

GCF(287,4546) x common factors =1 x 1 = 1

LCM(287,4546) = ( 287 × 4546 ) / 1

LCM(287,4546) = 1304702 / 1

LCM(287,4546) = 1304702

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FAQs on GCF of Fractions of 3053/287, 5185/4546

1. What is the HCF of 3053,5185?

The HCF of 3053,5185 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 3053/287, 5185/4546?

Answer: GCF of Numerators as per given numbers 3053/287, 5185/4546 is

GCF of Numerators i.e. for 3053,5185 is 1

LCM of denominators i.e. for 287,4546 is 1304702.

Thus, GCF of Fractions is 1/1304702.Finally, GCF of Fractions for 3053/287, 5185/4546 is 1/1304702.