How to Find GCF of 847/83, 499/4194?

GCF of 847/83, 499/4194

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 847/83, 499/4194 i.e 1/348102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/83, 499/4194.

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 847/83,499/4194?

Given fractions are 847/83,499/4194

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 847/83,499/4194, numerators are 847,499

Denominators are 83,4194

The GCF of 847,499 is 1 .

LCM of 83,4194 is 348102.

The greatest common factor of 847/83,499/4194 = [GCF of 847,499]/[LCM of 83,4194]= 1/348102

Therefore, the GCF of 847/83,499/4194 is 1/348102.

Greatest Common Factor of 847,499

To find the highest common factor of 847,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 847 are 1, 7, 11, 77, 121, 847

The factors of 499 are 1, 499

The HCF of 847,499 is 1.

Lets's calculate GCF of 847,499

Greatest Common Factor (GCF) of 847,499 By Common Division

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

Greatest Common Factor of 847,499 By Matching Biggest Common Factor Method

Now, list down the factors of 847

1,7,11,77,121,847

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 847,499 . The biggest common factor number is the GCF number.
So the greatest common factor 847,499 is 1.

Lets's calculate LCM of 83,4194

Lowest Common Multiple of 83,4194 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 348102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348102

Therefore, the GCF of Fractions 847/83,499/4194 is 1/348102

Least Common Multiple of 83,4194 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 83,4194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,4194) = 1

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

GCF(83,4194) x common factors =1 x 1 = 1

LCM(83,4194) = ( 83 × 4194 ) / 1

LCM(83,4194) = 348102 / 1

LCM(83,4194) = 348102

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FAQs on GCF of Fractions of 847/83, 499/4194

1. What is the HCF of 847,499?

The HCF of 847,499 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 847/83, 499/4194?

Answer: GCF of Numerators as per given numbers 847/83, 499/4194 is

GCF of Numerators i.e. for 847,499 is 1

LCM of denominators i.e. for 83,4194 is 348102.

Thus, GCF of Fractions is 1/348102.Finally, GCF of Fractions for 847/83, 499/4194 is 1/348102.