How to Find GCF of 2719/774, 3470/150?

GCF of 2719/774, 3470/150

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 2719/774, 3470/150 i.e 1/19350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2719/774, 3470/150.

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 2719/774,3470/150?

Given fractions are 2719/774,3470/150

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 2719/774,3470/150, numerators are 2719,3470

Denominators are 774,150

The GCF of 2719,3470 is 1 .

LCM of 774,150 is 19350.

The greatest common factor of 2719/774,3470/150 = [GCF of 2719,3470]/[LCM of 774,150]= 1/19350

Therefore, the GCF of 2719/774,3470/150 is 1/19350.

Greatest Common Factor of 2719,3470

To find the highest common factor of 2719,3470, we have to find the factors of both numbers and list the highest common factor.

The factors of 2719 are 1, 2719

The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470

The HCF of 2719,3470 is 1.

Lets's calculate GCF of 2719,3470

Greatest Common Factor (GCF) of 2719,3470 By Common Division

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

Greatest Common Factor of 2719,3470 By Matching Biggest Common Factor Method

Now, list down the factors of 2719

1,2719

Now, list down the factors of 3470

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors 2719,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 2719,3470 is 1.

Lets's calculate LCM of 774,150

Lowest Common Multiple of 774,150 using Common Division

2	774, 150
3	387, 75
	129, 25

∴ So the LCM of the given numbers is 2 x 3 x 129 x 25 = 19350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19350

Therefore, the GCF of Fractions 2719/774,3470/150 is 1/19350

Least Common Multiple of 774,150 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 774,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,150) = 6

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

GCF(774,150) x common factors =6 x 1 = 6

LCM(774,150) = ( 774 × 150 ) / 6

LCM(774,150) = 116100 / 6

LCM(774,150) = 19350

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FAQs on GCF of Fractions of 2719/774, 3470/150

1. What is the HCF of 2719,3470?

The HCF of 2719,3470 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 2719/774, 3470/150?

Answer: GCF of Numerators as per given numbers 2719/774, 3470/150 is

GCF of Numerators i.e. for 2719,3470 is 1

LCM of denominators i.e. for 774,150 is 19350.

Thus, GCF of Fractions is 1/19350.Finally, GCF of Fractions for 2719/774, 3470/150 is 1/19350.