How to Find GCF of 2067/978, 2621/3092?

GCF of 2067/978, 2621/3092

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 2067/978, 2621/3092 i.e 1/1511988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/978, 2621/3092.

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 2067/978,2621/3092?

Given fractions are 2067/978,2621/3092

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 2067/978,2621/3092, numerators are 2067,2621

Denominators are 978,3092

The GCF of 2067,2621 is 1 .

LCM of 978,3092 is 1511988.

The greatest common factor of 2067/978,2621/3092 = [GCF of 2067,2621]/[LCM of 978,3092]= 1/1511988

Therefore, the GCF of 2067/978,2621/3092 is 1/1511988.

Greatest Common Factor of 2067,2621

To find the highest common factor of 2067,2621, we have to find the factors of both numbers and list the highest common factor.

The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067

The factors of 2621 are 1, 2621

The HCF of 2067,2621 is 1.

Lets's calculate GCF of 2067,2621

Greatest Common Factor (GCF) of 2067,2621 By Common Division

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

Greatest Common Factor of 2067,2621 By Matching Biggest Common Factor Method

Now, list down the factors of 2067

1,3,13,39,53,159,689,2067

Now, list down the factors of 2621

1,2621

Greatest Common Factor

We found the factors 2067,2621 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,2621 is 1.

Lets's calculate LCM of 978,3092

Lowest Common Multiple of 978,3092 using Common Division

2	978, 3092
	489, 1546

∴ So the LCM of the given numbers is 2 x 489 x 1546 = 1511988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511988

Therefore, the GCF of Fractions 2067/978,2621/3092 is 1/1511988

Least Common Multiple of 978,3092 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 978,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,3092) = 2

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

GCF(978,3092) x common factors =2 x 1 = 2

LCM(978,3092) = ( 978 × 3092 ) / 2

LCM(978,3092) = 3023976 / 2

LCM(978,3092) = 1511988

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2067/978, 2621/3092

1. What is the HCF of 2067,2621?

The HCF of 2067,2621 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 2067/978, 2621/3092?

Answer: GCF of Numerators as per given numbers 2067/978, 2621/3092 is

GCF of Numerators i.e. for 2067,2621 is 1

LCM of denominators i.e. for 978,3092 is 1511988.

Thus, GCF of Fractions is 1/1511988.Finally, GCF of Fractions for 2067/978, 2621/3092 is 1/1511988.