How to Find GCF of 607/905, 2981/6213?

GCF of 607/905, 2981/6213

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 607/905, 2981/6213 i.e 1/5622765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 607/905, 2981/6213.

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 607/905,2981/6213?

Given fractions are 607/905,2981/6213

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 607/905,2981/6213, numerators are 607,2981

Denominators are 905,6213

The GCF of 607,2981 is 1 .

LCM of 905,6213 is 5622765.

The greatest common factor of 607/905,2981/6213 = [GCF of 607,2981]/[LCM of 905,6213]= 1/5622765

Therefore, the GCF of 607/905,2981/6213 is 1/5622765.

Greatest Common Factor of 607,2981

To find the highest common factor of 607,2981, we have to find the factors of both numbers and list the highest common factor.

The factors of 607 are 1, 607

The factors of 2981 are 1, 11, 271, 2981

The HCF of 607,2981 is 1.

Lets's calculate GCF of 607,2981

Greatest Common Factor (GCF) of 607,2981 By Common Division

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

Greatest Common Factor of 607,2981 By Matching Biggest Common Factor Method

Now, list down the factors of 607

1,607

Now, list down the factors of 2981

1,11,271,2981

Greatest Common Factor

We found the factors 607,2981 . The biggest common factor number is the GCF number.
So the greatest common factor 607,2981 is 1.

Lets's calculate LCM of 905,6213

Lowest Common Multiple of 905,6213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5622765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5622765

Therefore, the GCF of Fractions 607/905,2981/6213 is 1/5622765

Least Common Multiple of 905,6213 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 905,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,6213) = 1

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

GCF(905,6213) x common factors =1 x 1 = 1

LCM(905,6213) = ( 905 × 6213 ) / 1

LCM(905,6213) = 5622765 / 1

LCM(905,6213) = 5622765

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 607/905, 2981/6213

1. What is the HCF of 607,2981?

The HCF of 607,2981 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 607/905, 2981/6213?

Answer: GCF of Numerators as per given numbers 607/905, 2981/6213 is

GCF of Numerators i.e. for 607,2981 is 1

LCM of denominators i.e. for 905,6213 is 5622765.

Thus, GCF of Fractions is 1/5622765.Finally, GCF of Fractions for 607/905, 2981/6213 is 1/5622765.