How to Find GCF of 9029/682, 6134/8969?

GCF of 9029/682, 6134/8969

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 9029/682, 6134/8969 i.e 1/6116858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9029/682, 6134/8969.

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 9029/682,6134/8969?

Given fractions are 9029/682,6134/8969

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 9029/682,6134/8969, numerators are 9029,6134

Denominators are 682,8969

The GCF of 9029,6134 is 1 .

LCM of 682,8969 is 6116858.

The greatest common factor of 9029/682,6134/8969 = [GCF of 9029,6134]/[LCM of 682,8969]= 1/6116858

Therefore, the GCF of 9029/682,6134/8969 is 1/6116858.

Greatest Common Factor of 9029,6134

To find the highest common factor of 9029,6134, we have to find the factors of both numbers and list the highest common factor.

The factors of 9029 are 1, 9029

The factors of 6134 are 1, 2, 3067, 6134

The HCF of 9029,6134 is 1.

Lets's calculate GCF of 9029,6134

Greatest Common Factor (GCF) of 9029,6134 By Common Division

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

Greatest Common Factor of 9029,6134 By Matching Biggest Common Factor Method

Now, list down the factors of 9029

1,9029

Now, list down the factors of 6134

1,2,3067,6134

Greatest Common Factor

We found the factors 9029,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 9029,6134 is 1.

Lets's calculate LCM of 682,8969

Lowest Common Multiple of 682,8969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6116858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6116858

Therefore, the GCF of Fractions 9029/682,6134/8969 is 1/6116858

Least Common Multiple of 682,8969 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 682,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,8969) = 1

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

GCF(682,8969) x common factors =1 x 1 = 1

LCM(682,8969) = ( 682 × 8969 ) / 1

LCM(682,8969) = 6116858 / 1

LCM(682,8969) = 6116858

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FAQs on GCF of Fractions of 9029/682, 6134/8969

1. What is the HCF of 9029,6134?

The HCF of 9029,6134 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 9029/682, 6134/8969?

Answer: GCF of Numerators as per given numbers 9029/682, 6134/8969 is

GCF of Numerators i.e. for 9029,6134 is 1

LCM of denominators i.e. for 682,8969 is 6116858.

Thus, GCF of Fractions is 1/6116858.Finally, GCF of Fractions for 9029/682, 6134/8969 is 1/6116858.