How to Find GCF of 377/827, 7827/1029?

GCF of 377/827, 7827/1029

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 377/827, 7827/1029 i.e 1/850983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/827, 7827/1029.

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 377/827,7827/1029?

Given fractions are 377/827,7827/1029

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 377/827,7827/1029, numerators are 377,7827

Denominators are 827,1029

The GCF of 377,7827 is 1 .

LCM of 827,1029 is 850983.

The greatest common factor of 377/827,7827/1029 = [GCF of 377,7827]/[LCM of 827,1029]= 1/850983

Therefore, the GCF of 377/827,7827/1029 is 1/850983.

Greatest Common Factor of 377,7827

To find the highest common factor of 377,7827, we have to find the factors of both numbers and list the highest common factor.

The factors of 377 are 1, 13, 29, 377

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

The HCF of 377,7827 is 1.

Lets's calculate GCF of 377,7827

Greatest Common Factor (GCF) of 377,7827 By Common Division

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

Greatest Common Factor of 377,7827 By Matching Biggest Common Factor Method

Now, list down the factors of 377

1,13,29,377

Now, list down the factors of 7827

1,3,2609,7827

Greatest Common Factor

We found the factors 377,7827 . The biggest common factor number is the GCF number.
So the greatest common factor 377,7827 is 1.

Lets's calculate LCM of 827,1029

Lowest Common Multiple of 827,1029 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 850983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850983

Therefore, the GCF of Fractions 377/827,7827/1029 is 1/850983

Least Common Multiple of 827,1029 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 827,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,1029) = 1

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

GCF(827,1029) x common factors =1 x 1 = 1

LCM(827,1029) = ( 827 × 1029 ) / 1

LCM(827,1029) = 850983 / 1

LCM(827,1029) = 850983

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 377/827, 7827/1029

1. What is the HCF of 377,7827?

The HCF of 377,7827 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 377/827, 7827/1029?

Answer: GCF of Numerators as per given numbers 377/827, 7827/1029 is

GCF of Numerators i.e. for 377,7827 is 1

LCM of denominators i.e. for 827,1029 is 850983.

Thus, GCF of Fractions is 1/850983.Finally, GCF of Fractions for 377/827, 7827/1029 is 1/850983.