How to Find GCF of 850/78, 499/171?

GCF of 850/78, 499/171

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 850/78, 499/171 i.e 1/4446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/78, 499/171.

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 850/78,499/171?

Given fractions are 850/78,499/171

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 850/78,499/171, numerators are 850,499

Denominators are 78,171

The GCF of 850,499 is 1 .

LCM of 78,171 is 4446.

The greatest common factor of 850/78,499/171 = [GCF of 850,499]/[LCM of 78,171]= 1/4446

Therefore, the GCF of 850/78,499/171 is 1/4446.

Greatest Common Factor of 850,499

To find the highest common factor of 850,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The factors of 499 are 1, 499

The HCF of 850,499 is 1.

Lets's calculate GCF of 850,499

Greatest Common Factor (GCF) of 850,499 By Common Division

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

Greatest Common Factor of 850,499 By Matching Biggest Common Factor Method

Now, list down the factors of 850

1,2,5,10,17,25,34,50,85,170,425,850

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 850,499 . The biggest common factor number is the GCF number.
So the greatest common factor 850,499 is 1.

Lets's calculate LCM of 78,171

Lowest Common Multiple of 78,171 using Common Division

3	78, 171
	26, 57

∴ So the LCM of the given numbers is 3 x 26 x 57 = 4446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4446

Therefore, the GCF of Fractions 850/78,499/171 is 1/4446

Least Common Multiple of 78,171 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 78,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,171) = 3

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

GCF(78,171) x common factors =3 x 1 = 3

LCM(78,171) = ( 78 × 171 ) / 3

LCM(78,171) = 13338 / 3

LCM(78,171) = 4446

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FAQs on GCF of Fractions of 850/78, 499/171

1. What is the HCF of 850,499?

The HCF of 850,499 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 850/78, 499/171?

Answer: GCF of Numerators as per given numbers 850/78, 499/171 is

GCF of Numerators i.e. for 850,499 is 1

LCM of denominators i.e. for 78,171 is 4446.

Thus, GCF of Fractions is 1/4446.Finally, GCF of Fractions for 850/78, 499/171 is 1/4446.