How to Find GCF of 5211/310, 5206/9861?

GCF of 5211/310, 5206/9861

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 5211/310, 5206/9861 i.e 1/3056910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5211/310, 5206/9861.

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 5211/310,5206/9861?

Given fractions are 5211/310,5206/9861

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 5211/310,5206/9861, numerators are 5211,5206

Denominators are 310,9861

The GCF of 5211,5206 is 1 .

LCM of 310,9861 is 3056910.

The greatest common factor of 5211/310,5206/9861 = [GCF of 5211,5206]/[LCM of 310,9861]= 1/3056910

Therefore, the GCF of 5211/310,5206/9861 is 1/3056910.

Greatest Common Factor of 5211,5206

To find the highest common factor of 5211,5206, we have to find the factors of both numbers and list the highest common factor.

The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211

The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206

The HCF of 5211,5206 is 1.

Lets's calculate GCF of 5211,5206

Greatest Common Factor (GCF) of 5211,5206 By Common Division

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

Greatest Common Factor of 5211,5206 By Matching Biggest Common Factor Method

Now, list down the factors of 5211

1,3,9,27,193,579,1737,5211

Now, list down the factors of 5206

1,2,19,38,137,274,2603,5206

Greatest Common Factor

We found the factors 5211,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,5206 is 1.

Lets's calculate LCM of 310,9861

Lowest Common Multiple of 310,9861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3056910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3056910

Therefore, the GCF of Fractions 5211/310,5206/9861 is 1/3056910

Least Common Multiple of 310,9861 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 310,9861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9861) = 1

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

GCF(310,9861) x common factors =1 x 1 = 1

LCM(310,9861) = ( 310 × 9861 ) / 1

LCM(310,9861) = 3056910 / 1

LCM(310,9861) = 3056910

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FAQs on GCF of Fractions of 5211/310, 5206/9861

1. What is the HCF of 5211,5206?

The HCF of 5211,5206 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 5211/310, 5206/9861?

Answer: GCF of Numerators as per given numbers 5211/310, 5206/9861 is

GCF of Numerators i.e. for 5211,5206 is 1

LCM of denominators i.e. for 310,9861 is 3056910.

Thus, GCF of Fractions is 1/3056910.Finally, GCF of Fractions for 5211/310, 5206/9861 is 1/3056910.