How to Find GCF of 6787/895, 6060/4228?

GCF of 6787/895, 6060/4228

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 6787/895, 6060/4228 i.e 1/3784060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6787/895, 6060/4228.

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 6787/895,6060/4228?

Given fractions are 6787/895,6060/4228

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 6787/895,6060/4228, numerators are 6787,6060

Denominators are 895,4228

The GCF of 6787,6060 is 1 .

LCM of 895,4228 is 3784060.

The greatest common factor of 6787/895,6060/4228 = [GCF of 6787,6060]/[LCM of 895,4228]= 1/3784060

Therefore, the GCF of 6787/895,6060/4228 is 1/3784060.

Greatest Common Factor of 6787,6060

To find the highest common factor of 6787,6060, we have to find the factors of both numbers and list the highest common factor.

The factors of 6787 are 1, 11, 617, 6787

The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

The HCF of 6787,6060 is 1.

Lets's calculate GCF of 6787,6060

Greatest Common Factor (GCF) of 6787,6060 By Common Division

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

Greatest Common Factor of 6787,6060 By Matching Biggest Common Factor Method

Now, list down the factors of 6787

1,11,617,6787

Now, list down the factors of 6060

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Greatest Common Factor

We found the factors 6787,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 6787,6060 is 1.

Lets's calculate LCM of 895,4228

Lowest Common Multiple of 895,4228 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3784060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3784060

Therefore, the GCF of Fractions 6787/895,6060/4228 is 1/3784060

Least Common Multiple of 895,4228 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 895,4228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,4228) = 1

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

GCF(895,4228) x common factors =1 x 1 = 1

LCM(895,4228) = ( 895 × 4228 ) / 1

LCM(895,4228) = 3784060 / 1

LCM(895,4228) = 3784060

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6787/895, 6060/4228

1. What is the HCF of 6787,6060?

The HCF of 6787,6060 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 6787/895, 6060/4228?

Answer: GCF of Numerators as per given numbers 6787/895, 6060/4228 is

GCF of Numerators i.e. for 6787,6060 is 1

LCM of denominators i.e. for 895,4228 is 3784060.

Thus, GCF of Fractions is 1/3784060.Finally, GCF of Fractions for 6787/895, 6060/4228 is 1/3784060.