How to Find GCF of 7787/263, 7819/4644?

GCF of 7787/263, 7819/4644

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 7787/263, 7819/4644 i.e 1/1221372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7787/263, 7819/4644.

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 7787/263,7819/4644?

Given fractions are 7787/263,7819/4644

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 7787/263,7819/4644, numerators are 7787,7819

Denominators are 263,4644

The GCF of 7787,7819 is 1 .

LCM of 263,4644 is 1221372.

The greatest common factor of 7787/263,7819/4644 = [GCF of 7787,7819]/[LCM of 263,4644]= 1/1221372

Therefore, the GCF of 7787/263,7819/4644 is 1/1221372.

Greatest Common Factor of 7787,7819

To find the highest common factor of 7787,7819, we have to find the factors of both numbers and list the highest common factor.

The factors of 7787 are 1, 13, 599, 7787

The factors of 7819 are 1, 7, 1117, 7819

The HCF of 7787,7819 is 1.

Lets's calculate GCF of 7787,7819

Greatest Common Factor (GCF) of 7787,7819 By Common Division

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

Greatest Common Factor of 7787,7819 By Matching Biggest Common Factor Method

Now, list down the factors of 7787

1,13,599,7787

Now, list down the factors of 7819

1,7,1117,7819

Greatest Common Factor

We found the factors 7787,7819 . The biggest common factor number is the GCF number.
So the greatest common factor 7787,7819 is 1.

Lets's calculate LCM of 263,4644

Lowest Common Multiple of 263,4644 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1221372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1221372

Therefore, the GCF of Fractions 7787/263,7819/4644 is 1/1221372

Least Common Multiple of 263,4644 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 263,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,4644) = 1

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

GCF(263,4644) x common factors =1 x 1 = 1

LCM(263,4644) = ( 263 × 4644 ) / 1

LCM(263,4644) = 1221372 / 1

LCM(263,4644) = 1221372

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FAQs on GCF of Fractions of 7787/263, 7819/4644

1. What is the HCF of 7787,7819?

The HCF of 7787,7819 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 7787/263, 7819/4644?

Answer: GCF of Numerators as per given numbers 7787/263, 7819/4644 is

GCF of Numerators i.e. for 7787,7819 is 1

LCM of denominators i.e. for 263,4644 is 1221372.

Thus, GCF of Fractions is 1/1221372.Finally, GCF of Fractions for 7787/263, 7819/4644 is 1/1221372.