How to Find GCF of 5497/857, 5419/8117?

GCF of 5497/857, 5419/8117

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 5497/857, 5419/8117 i.e 1/6956269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5497/857, 5419/8117.

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 5497/857,5419/8117?

Given fractions are 5497/857,5419/8117

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 5497/857,5419/8117, numerators are 5497,5419

Denominators are 857,8117

The GCF of 5497,5419 is 1 .

LCM of 857,8117 is 6956269.

The greatest common factor of 5497/857,5419/8117 = [GCF of 5497,5419]/[LCM of 857,8117]= 1/6956269

Therefore, the GCF of 5497/857,5419/8117 is 1/6956269.

Greatest Common Factor of 5497,5419

To find the highest common factor of 5497,5419, we have to find the factors of both numbers and list the highest common factor.

The factors of 5497 are 1, 23, 239, 5497

The factors of 5419 are 1, 5419

The HCF of 5497,5419 is 1.

Lets's calculate GCF of 5497,5419

Greatest Common Factor (GCF) of 5497,5419 By Common Division

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

Greatest Common Factor of 5497,5419 By Matching Biggest Common Factor Method

Now, list down the factors of 5497

1,23,239,5497

Now, list down the factors of 5419

1,5419

Greatest Common Factor

We found the factors 5497,5419 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,5419 is 1.

Lets's calculate LCM of 857,8117

Lowest Common Multiple of 857,8117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6956269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6956269

Therefore, the GCF of Fractions 5497/857,5419/8117 is 1/6956269

Least Common Multiple of 857,8117 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 857,8117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,8117) = 1

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

GCF(857,8117) x common factors =1 x 1 = 1

LCM(857,8117) = ( 857 × 8117 ) / 1

LCM(857,8117) = 6956269 / 1

LCM(857,8117) = 6956269

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FAQs on GCF of Fractions of 5497/857, 5419/8117

1. What is the HCF of 5497,5419?

The HCF of 5497,5419 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 5497/857, 5419/8117?

Answer: GCF of Numerators as per given numbers 5497/857, 5419/8117 is

GCF of Numerators i.e. for 5497,5419 is 1

LCM of denominators i.e. for 857,8117 is 6956269.

Thus, GCF of Fractions is 1/6956269.Finally, GCF of Fractions for 5497/857, 5419/8117 is 1/6956269.