How to Find GCF of 2546/535, 1153/5391?

GCF of 2546/535, 1153/5391

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 2546/535, 1153/5391 i.e 1/2884185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2546/535, 1153/5391.

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 2546/535,1153/5391?

Given fractions are 2546/535,1153/5391

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 2546/535,1153/5391, numerators are 2546,1153

Denominators are 535,5391

The GCF of 2546,1153 is 1 .

LCM of 535,5391 is 2884185.

The greatest common factor of 2546/535,1153/5391 = [GCF of 2546,1153]/[LCM of 535,5391]= 1/2884185

Therefore, the GCF of 2546/535,1153/5391 is 1/2884185.

Greatest Common Factor of 2546,1153

To find the highest common factor of 2546,1153, we have to find the factors of both numbers and list the highest common factor.

The factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546

The factors of 1153 are 1, 1153

The HCF of 2546,1153 is 1.

Lets's calculate GCF of 2546,1153

Greatest Common Factor (GCF) of 2546,1153 By Common Division

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

Greatest Common Factor of 2546,1153 By Matching Biggest Common Factor Method

Now, list down the factors of 2546

1,2,19,38,67,134,1273,2546

Now, list down the factors of 1153

1,1153

Greatest Common Factor

We found the factors 2546,1153 . The biggest common factor number is the GCF number.
So the greatest common factor 2546,1153 is 1.

Lets's calculate LCM of 535,5391

Lowest Common Multiple of 535,5391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2884185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2884185

Therefore, the GCF of Fractions 2546/535,1153/5391 is 1/2884185

Least Common Multiple of 535,5391 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 535,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,5391) = 1

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

GCF(535,5391) x common factors =1 x 1 = 1

LCM(535,5391) = ( 535 × 5391 ) / 1

LCM(535,5391) = 2884185 / 1

LCM(535,5391) = 2884185

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FAQs on GCF of Fractions of 2546/535, 1153/5391

1. What is the HCF of 2546,1153?

The HCF of 2546,1153 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 2546/535, 1153/5391?

Answer: GCF of Numerators as per given numbers 2546/535, 1153/5391 is

GCF of Numerators i.e. for 2546,1153 is 1

LCM of denominators i.e. for 535,5391 is 2884185.

Thus, GCF of Fractions is 1/2884185.Finally, GCF of Fractions for 2546/535, 1153/5391 is 1/2884185.