How to Find GCF of 8734/484, 6829/7637?

GCF of 8734/484, 6829/7637

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 8734/484, 6829/7637 i.e 1/3696308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8734/484, 6829/7637.

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 8734/484,6829/7637?

Given fractions are 8734/484,6829/7637

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 8734/484,6829/7637, numerators are 8734,6829

Denominators are 484,7637

The GCF of 8734,6829 is 1 .

LCM of 484,7637 is 3696308.

The greatest common factor of 8734/484,6829/7637 = [GCF of 8734,6829]/[LCM of 484,7637]= 1/3696308

Therefore, the GCF of 8734/484,6829/7637 is 1/3696308.

Greatest Common Factor of 8734,6829

To find the highest common factor of 8734,6829, we have to find the factors of both numbers and list the highest common factor.

The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734

The factors of 6829 are 1, 6829

The HCF of 8734,6829 is 1.

Lets's calculate GCF of 8734,6829

Greatest Common Factor (GCF) of 8734,6829 By Common Division

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

Greatest Common Factor of 8734,6829 By Matching Biggest Common Factor Method

Now, list down the factors of 8734

1,2,11,22,397,794,4367,8734

Now, list down the factors of 6829

1,6829

Greatest Common Factor

We found the factors 8734,6829 . The biggest common factor number is the GCF number.
So the greatest common factor 8734,6829 is 1.

Lets's calculate LCM of 484,7637

Lowest Common Multiple of 484,7637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3696308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3696308

Therefore, the GCF of Fractions 8734/484,6829/7637 is 1/3696308

Least Common Multiple of 484,7637 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 484,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,7637) = 1

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

GCF(484,7637) x common factors =1 x 1 = 1

LCM(484,7637) = ( 484 × 7637 ) / 1

LCM(484,7637) = 3696308 / 1

LCM(484,7637) = 3696308

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8734/484, 6829/7637

1. What is the HCF of 8734,6829?

The HCF of 8734,6829 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 8734/484, 6829/7637?

Answer: GCF of Numerators as per given numbers 8734/484, 6829/7637 is

GCF of Numerators i.e. for 8734,6829 is 1

LCM of denominators i.e. for 484,7637 is 3696308.

Thus, GCF of Fractions is 1/3696308.Finally, GCF of Fractions for 8734/484, 6829/7637 is 1/3696308.