How to Find GCF of 2974/772, 6869/9596?

GCF of 2974/772, 6869/9596

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 2974/772, 6869/9596 i.e 1/1852028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2974/772, 6869/9596.

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 2974/772,6869/9596?

Given fractions are 2974/772,6869/9596

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 2974/772,6869/9596, numerators are 2974,6869

Denominators are 772,9596

The GCF of 2974,6869 is 1 .

LCM of 772,9596 is 1852028.

The greatest common factor of 2974/772,6869/9596 = [GCF of 2974,6869]/[LCM of 772,9596]= 1/1852028

Therefore, the GCF of 2974/772,6869/9596 is 1/1852028.

Greatest Common Factor of 2974,6869

To find the highest common factor of 2974,6869, we have to find the factors of both numbers and list the highest common factor.

The factors of 2974 are 1, 2, 1487, 2974

The factors of 6869 are 1, 6869

The HCF of 2974,6869 is 1.

Lets's calculate GCF of 2974,6869

Greatest Common Factor (GCF) of 2974,6869 By Common Division

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

Greatest Common Factor of 2974,6869 By Matching Biggest Common Factor Method

Now, list down the factors of 2974

1,2,1487,2974

Now, list down the factors of 6869

1,6869

Greatest Common Factor

We found the factors 2974,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 2974,6869 is 1.

Lets's calculate LCM of 772,9596

Lowest Common Multiple of 772,9596 using Common Division

2	772, 9596
2	386, 4798
	193, 2399

∴ So the LCM of the given numbers is 2 x 2 x 193 x 2399 = 1852028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1852028

Therefore, the GCF of Fractions 2974/772,6869/9596 is 1/1852028

Least Common Multiple of 772,9596 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 772,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,9596) = 4

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

GCF(772,9596) x common factors =4 x 1 = 4

LCM(772,9596) = ( 772 × 9596 ) / 4

LCM(772,9596) = 7408112 / 4

LCM(772,9596) = 1852028

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FAQs on GCF of Fractions of 2974/772, 6869/9596

1. What is the HCF of 2974,6869?

The HCF of 2974,6869 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 2974/772, 6869/9596?

Answer: GCF of Numerators as per given numbers 2974/772, 6869/9596 is

GCF of Numerators i.e. for 2974,6869 is 1

LCM of denominators i.e. for 772,9596 is 1852028.

Thus, GCF of Fractions is 1/1852028.Finally, GCF of Fractions for 2974/772, 6869/9596 is 1/1852028.