How to Find GCF of 2267/499, 6655/8523?

GCF of 2267/499, 6655/8523

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 2267/499, 6655/8523 i.e 1/4252977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2267/499, 6655/8523.

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 2267/499,6655/8523?

Given fractions are 2267/499,6655/8523

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 2267/499,6655/8523, numerators are 2267,6655

Denominators are 499,8523

The GCF of 2267,6655 is 1 .

LCM of 499,8523 is 4252977.

The greatest common factor of 2267/499,6655/8523 = [GCF of 2267,6655]/[LCM of 499,8523]= 1/4252977

Therefore, the GCF of 2267/499,6655/8523 is 1/4252977.

Greatest Common Factor of 2267,6655

To find the highest common factor of 2267,6655, we have to find the factors of both numbers and list the highest common factor.

The factors of 2267 are 1, 2267

The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655

The HCF of 2267,6655 is 1.

Lets's calculate GCF of 2267,6655

Greatest Common Factor (GCF) of 2267,6655 By Common Division

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

Greatest Common Factor of 2267,6655 By Matching Biggest Common Factor Method

Now, list down the factors of 2267

1,2267

Now, list down the factors of 6655

1,5,11,55,121,605,1331,6655

Greatest Common Factor

We found the factors 2267,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 2267,6655 is 1.

Lets's calculate LCM of 499,8523

Lowest Common Multiple of 499,8523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4252977

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4252977

Therefore, the GCF of Fractions 2267/499,6655/8523 is 1/4252977

Least Common Multiple of 499,8523 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 499,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,8523) = 1

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

GCF(499,8523) x common factors =1 x 1 = 1

LCM(499,8523) = ( 499 × 8523 ) / 1

LCM(499,8523) = 4252977 / 1

LCM(499,8523) = 4252977

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FAQs on GCF of Fractions of 2267/499, 6655/8523

1. What is the HCF of 2267,6655?

The HCF of 2267,6655 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 2267/499, 6655/8523?

Answer: GCF of Numerators as per given numbers 2267/499, 6655/8523 is

GCF of Numerators i.e. for 2267,6655 is 1

LCM of denominators i.e. for 499,8523 is 4252977.

Thus, GCF of Fractions is 1/4252977.Finally, GCF of Fractions for 2267/499, 6655/8523 is 1/4252977.