How to Find GCF of 6851/541, 6788/2523?

GCF of 6851/541, 6788/2523

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 6851/541, 6788/2523 i.e 1/1364943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6851/541, 6788/2523.

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 6851/541,6788/2523?

Given fractions are 6851/541,6788/2523

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 6851/541,6788/2523, numerators are 6851,6788

Denominators are 541,2523

The GCF of 6851,6788 is 1 .

LCM of 541,2523 is 1364943.

The greatest common factor of 6851/541,6788/2523 = [GCF of 6851,6788]/[LCM of 541,2523]= 1/1364943

Therefore, the GCF of 6851/541,6788/2523 is 1/1364943.

Greatest Common Factor of 6851,6788

To find the highest common factor of 6851,6788, we have to find the factors of both numbers and list the highest common factor.

The factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851

The factors of 6788 are 1, 2, 4, 1697, 3394, 6788

The HCF of 6851,6788 is 1.

Lets's calculate GCF of 6851,6788

Greatest Common Factor (GCF) of 6851,6788 By Common Division

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

Greatest Common Factor of 6851,6788 By Matching Biggest Common Factor Method

Now, list down the factors of 6851

1,13,17,31,221,403,527,6851

Now, list down the factors of 6788

1,2,4,1697,3394,6788

Greatest Common Factor

We found the factors 6851,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 6851,6788 is 1.

Lets's calculate LCM of 541,2523

Lowest Common Multiple of 541,2523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1364943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1364943

Therefore, the GCF of Fractions 6851/541,6788/2523 is 1/1364943

Least Common Multiple of 541,2523 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 541,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,2523) = 1

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

GCF(541,2523) x common factors =1 x 1 = 1

LCM(541,2523) = ( 541 × 2523 ) / 1

LCM(541,2523) = 1364943 / 1

LCM(541,2523) = 1364943

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6851/541, 6788/2523

1. What is the HCF of 6851,6788?

The HCF of 6851,6788 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 6851/541, 6788/2523?

Answer: GCF of Numerators as per given numbers 6851/541, 6788/2523 is

GCF of Numerators i.e. for 6851,6788 is 1

LCM of denominators i.e. for 541,2523 is 1364943.

Thus, GCF of Fractions is 1/1364943.Finally, GCF of Fractions for 6851/541, 6788/2523 is 1/1364943.