How to Find GCF of 6810/772, 3074/4915?

GCF of 6810/772, 3074/4915

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 6810/772, 3074/4915 i.e 2/3794380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6810/772, 3074/4915.

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 6810/772,3074/4915?

Given fractions are 6810/772,3074/4915

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 6810/772,3074/4915, numerators are 6810,3074

Denominators are 772,4915

The GCF of 6810,3074 is 2 .

LCM of 772,4915 is 3794380.

The greatest common factor of 6810/772,3074/4915 = [GCF of 6810,3074]/[LCM of 772,4915]= 2/3794380

Therefore, the GCF of 6810/772,3074/4915 is 2/3794380.

Greatest Common Factor of 6810,3074

To find the highest common factor of 6810,3074, we have to find the factors of both numbers and list the highest common factor.

The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810

The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074

The HCF of 6810,3074 is 2.

Lets's calculate GCF of 6810,3074

Greatest Common Factor (GCF) of 6810,3074 By Common Division

2	6810, 3074
	3405, 1537

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6810,3074 By Matching Biggest Common Factor Method

Now, list down the factors of 6810

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Now, list down the factors of 3074

1,2,29,53,58,106,1537,3074

Greatest Common Factor

We found the factors 6810,3074 . The biggest common factor number is the GCF number.
So the greatest common factor 6810,3074 is 2.

Lets's calculate LCM of 772,4915

Lowest Common Multiple of 772,4915 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3794380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3794380

Therefore, the GCF of Fractions 6810/772,3074/4915 is 2/3794380

Least Common Multiple of 772,4915 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 772,4915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,4915) = 1

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

GCF(772,4915) x common factors =1 x 1 = 1

LCM(772,4915) = ( 772 × 4915 ) / 1

LCM(772,4915) = 3794380 / 1

LCM(772,4915) = 3794380

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6810/772, 3074/4915

1. What is the HCF of 6810,3074?

The HCF of 6810,3074 is 2

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 6810/772, 3074/4915?

Answer: GCF of Numerators as per given numbers 6810/772, 3074/4915 is

GCF of Numerators i.e. for 6810,3074 is 2

LCM of denominators i.e. for 772,4915 is 3794380.

Thus, GCF of Fractions is 2/3794380.Finally, GCF of Fractions for 6810/772, 3074/4915 is 2/3794380.