How to Find GCF of 3390/769, 5131/9065?

GCF of 3390/769, 5131/9065

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 3390/769, 5131/9065 i.e 1/6970985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3390/769, 5131/9065.

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 3390/769,5131/9065?

Given fractions are 3390/769,5131/9065

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 3390/769,5131/9065, numerators are 3390,5131

Denominators are 769,9065

The GCF of 3390,5131 is 1 .

LCM of 769,9065 is 6970985.

The greatest common factor of 3390/769,5131/9065 = [GCF of 3390,5131]/[LCM of 769,9065]= 1/6970985

Therefore, the GCF of 3390/769,5131/9065 is 1/6970985.

Greatest Common Factor of 3390,5131

To find the highest common factor of 3390,5131, we have to find the factors of both numbers and list the highest common factor.

The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390

The factors of 5131 are 1, 7, 733, 5131

The HCF of 3390,5131 is 1.

Lets's calculate GCF of 3390,5131

Greatest Common Factor (GCF) of 3390,5131 By Common Division

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

Greatest Common Factor of 3390,5131 By Matching Biggest Common Factor Method

Now, list down the factors of 3390

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Now, list down the factors of 5131

1,7,733,5131

Greatest Common Factor

We found the factors 3390,5131 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,5131 is 1.

Lets's calculate LCM of 769,9065

Lowest Common Multiple of 769,9065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6970985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6970985

Therefore, the GCF of Fractions 3390/769,5131/9065 is 1/6970985

Least Common Multiple of 769,9065 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 769,9065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,9065) = 1

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

GCF(769,9065) x common factors =1 x 1 = 1

LCM(769,9065) = ( 769 × 9065 ) / 1

LCM(769,9065) = 6970985 / 1

LCM(769,9065) = 6970985

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FAQs on GCF of Fractions of 3390/769, 5131/9065

1. What is the HCF of 3390,5131?

The HCF of 3390,5131 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 3390/769, 5131/9065?

Answer: GCF of Numerators as per given numbers 3390/769, 5131/9065 is

GCF of Numerators i.e. for 3390,5131 is 1

LCM of denominators i.e. for 769,9065 is 6970985.

Thus, GCF of Fractions is 1/6970985.Finally, GCF of Fractions for 3390/769, 5131/9065 is 1/6970985.