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GCF of 7827/211, 6781/429

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 7827/211, 6781/429 i.e 1/90519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7827/211, 6781/429.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7827/211,6781/429?

Given fractions are 7827/211,6781/429

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 7827/211,6781/429, numerators are 7827,6781

Denominators are 211,429

The GCF of 7827,6781 is 1 .

LCM of 211,429 is 90519.

The greatest common factor of 7827/211,6781/429 = [GCF of 7827,6781]/[LCM of 211,429]= 1/90519

Therefore, the GCF of 7827/211,6781/429 is 1/90519.

Greatest Common Factor of 7827,6781

To find the highest common factor of 7827,6781, we have to find the factors of both numbers and list the highest common factor.

The factors of 7827 are 1, 3, 2609, 7827

The factors of 6781 are 1, 6781

The HCF of 7827,6781 is 1.

Lets's calculate GCF of 7827,6781

Greatest Common Factor (GCF) of 7827,6781 By Common Division

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

Greatest Common Factor of 7827,6781 By Matching Biggest Common Factor Method

Greatest Common Factor of 7827,6781 By Matching Biggest Common Factor Method

Now, list down the factors of 7827

:

1,3,2609,7827

Now, list down the factors of 6781

:

1,6781

Greatest Common Factor

We found the factors 7827,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 7827,6781 is 1.

Lets's calculate LCM of 211,429

Lowest Common Multiple of 211,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 90519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90519

Therefore, the GCF of Fractions 7827/211,6781/429 is 1/90519

Least Common Multiple of 211,429 with GCF Formula

Least Common Multiple of 211,429 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 211,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,429) = 1

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

GCF(211,429) x common factors =1 x 1 = 1

LCM(211,429) = ( 211 × 429 ) / 1

LCM(211,429) = 90519 / 1

LCM(211,429) = 90519


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FAQs on GCF of Fractions of 7827/211, 6781/429

1. What is the HCF of 7827,6781?

The HCF of 7827,6781 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 7827/211, 6781/429?

Answer: GCF of Numerators as per given numbers 7827/211, 6781/429 is

GCF of Numerators i.e. for 7827,6781 is 1

LCM of denominators i.e. for 211,429 is 90519.

Thus, GCF of Fractions is 1/90519.Finally, GCF of Fractions for 7827/211, 6781/429 is 1/90519.