How to Find GCF of 5351/817, 2676/9251?

GCF of 5351/817, 2676/9251

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 5351/817, 2676/9251 i.e 1/7558067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5351/817, 2676/9251.

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 5351/817,2676/9251?

Given fractions are 5351/817,2676/9251

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 5351/817,2676/9251, numerators are 5351,2676

Denominators are 817,9251

The GCF of 5351,2676 is 1 .

LCM of 817,9251 is 7558067.

The greatest common factor of 5351/817,2676/9251 = [GCF of 5351,2676]/[LCM of 817,9251]= 1/7558067

Therefore, the GCF of 5351/817,2676/9251 is 1/7558067.

Greatest Common Factor of 5351,2676

To find the highest common factor of 5351,2676, we have to find the factors of both numbers and list the highest common factor.

The factors of 5351 are 1, 5351

The factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676

The HCF of 5351,2676 is 1.

Lets's calculate GCF of 5351,2676

Greatest Common Factor (GCF) of 5351,2676 By Common Division

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

Greatest Common Factor of 5351,2676 By Matching Biggest Common Factor Method

Now, list down the factors of 5351

1,5351

Now, list down the factors of 2676

1,2,3,4,6,12,223,446,669,892,1338,2676

Greatest Common Factor

We found the factors 5351,2676 . The biggest common factor number is the GCF number.
So the greatest common factor 5351,2676 is 1.

Lets's calculate LCM of 817,9251

Lowest Common Multiple of 817,9251 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7558067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7558067

Therefore, the GCF of Fractions 5351/817,2676/9251 is 1/7558067

Least Common Multiple of 817,9251 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 817,9251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,9251) = 1

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

GCF(817,9251) x common factors =1 x 1 = 1

LCM(817,9251) = ( 817 × 9251 ) / 1

LCM(817,9251) = 7558067 / 1

LCM(817,9251) = 7558067

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5351/817, 2676/9251

1. What is the HCF of 5351,2676?

The HCF of 5351,2676 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 5351/817, 2676/9251?

Answer: GCF of Numerators as per given numbers 5351/817, 2676/9251 is

GCF of Numerators i.e. for 5351,2676 is 1

LCM of denominators i.e. for 817,9251 is 7558067.

Thus, GCF of Fractions is 1/7558067.Finally, GCF of Fractions for 5351/817, 2676/9251 is 1/7558067.