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GCF of 3062/740, 7027/7145

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 3062/740, 7027/7145 i.e 1/1057460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3062/740, 7027/7145.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3062/740,7027/7145?

Given fractions are 3062/740,7027/7145

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 3062/740,7027/7145, numerators are 3062,7027

Denominators are 740,7145

The GCF of 3062,7027 is 1 .

LCM of 740,7145 is 1057460.

The greatest common factor of 3062/740,7027/7145 = [GCF of 3062,7027]/[LCM of 740,7145]= 1/1057460

Therefore, the GCF of 3062/740,7027/7145 is 1/1057460.

Greatest Common Factor of 3062,7027

To find the highest common factor of 3062,7027, we have to find the factors of both numbers and list the highest common factor.

The factors of 3062 are 1, 2, 1531, 3062

The factors of 7027 are 1, 7027

The HCF of 3062,7027 is 1.

Lets's calculate GCF of 3062,7027

Greatest Common Factor (GCF) of 3062,7027 By Common Division

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

Greatest Common Factor of 3062,7027 By Matching Biggest Common Factor Method

Greatest Common Factor of 3062,7027 By Matching Biggest Common Factor Method

Now, list down the factors of 3062

:

1,2,1531,3062

Now, list down the factors of 7027

:

1,7027

Greatest Common Factor

We found the factors 3062,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 3062,7027 is 1.

Lets's calculate LCM of 740,7145

Lowest Common Multiple of 740,7145 using Common Division

5 740, 7145
148, 1429

∴ So the LCM of the given numbers is 5 x 148 x 1429 = 1057460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1057460

Therefore, the GCF of Fractions 3062/740,7027/7145 is 1/1057460

Least Common Multiple of 740,7145 with GCF Formula

Least Common Multiple of 740,7145 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 740,7145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,7145) = 5

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

GCF(740,7145) x common factors =5 x 1 = 5

LCM(740,7145) = ( 740 × 7145 ) / 5

LCM(740,7145) = 5287300 / 5

LCM(740,7145) = 1057460


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3062/740, 7027/7145

1. What is the HCF of 3062,7027?

The HCF of 3062,7027 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 3062/740, 7027/7145?

Answer: GCF of Numerators as per given numbers 3062/740, 7027/7145 is

GCF of Numerators i.e. for 3062,7027 is 1

LCM of denominators i.e. for 740,7145 is 1057460.

Thus, GCF of Fractions is 1/1057460.Finally, GCF of Fractions for 3062/740, 7027/7145 is 1/1057460.