How to Find GCF of 9070/891, 7673/3086?

GCF of 9070/891, 7673/3086

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 9070/891, 7673/3086 i.e 1/2749626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9070/891, 7673/3086.

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 9070/891,7673/3086?

Given fractions are 9070/891,7673/3086

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 9070/891,7673/3086, numerators are 9070,7673

Denominators are 891,3086

The GCF of 9070,7673 is 1 .

LCM of 891,3086 is 2749626.

The greatest common factor of 9070/891,7673/3086 = [GCF of 9070,7673]/[LCM of 891,3086]= 1/2749626

Therefore, the GCF of 9070/891,7673/3086 is 1/2749626.

Greatest Common Factor of 9070,7673

To find the highest common factor of 9070,7673, we have to find the factors of both numbers and list the highest common factor.

The factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070

The factors of 7673 are 1, 7673

The HCF of 9070,7673 is 1.

Lets's calculate GCF of 9070,7673

Greatest Common Factor (GCF) of 9070,7673 By Common Division

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

Greatest Common Factor of 9070,7673 By Matching Biggest Common Factor Method

Now, list down the factors of 9070

1,2,5,10,907,1814,4535,9070

Now, list down the factors of 7673

1,7673

Greatest Common Factor

We found the factors 9070,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,7673 is 1.

Lets's calculate LCM of 891,3086

Lowest Common Multiple of 891,3086 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2749626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2749626

Therefore, the GCF of Fractions 9070/891,7673/3086 is 1/2749626

Least Common Multiple of 891,3086 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 891,3086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,3086) = 1

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

GCF(891,3086) x common factors =1 x 1 = 1

LCM(891,3086) = ( 891 × 3086 ) / 1

LCM(891,3086) = 2749626 / 1

LCM(891,3086) = 2749626

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9070/891, 7673/3086

1. What is the HCF of 9070,7673?

The HCF of 9070,7673 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 9070/891, 7673/3086?

Answer: GCF of Numerators as per given numbers 9070/891, 7673/3086 is

GCF of Numerators i.e. for 9070,7673 is 1

LCM of denominators i.e. for 891,3086 is 2749626.

Thus, GCF of Fractions is 1/2749626.Finally, GCF of Fractions for 9070/891, 7673/3086 is 1/2749626.