How to Find GCF of 3134/736, 6911/1600?

GCF of 3134/736, 6911/1600

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 3134/736, 6911/1600 i.e 1/36800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3134/736, 6911/1600.

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 3134/736,6911/1600?

Given fractions are 3134/736,6911/1600

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 3134/736,6911/1600, numerators are 3134,6911

Denominators are 736,1600

The GCF of 3134,6911 is 1 .

LCM of 736,1600 is 36800.

The greatest common factor of 3134/736,6911/1600 = [GCF of 3134,6911]/[LCM of 736,1600]= 1/36800

Therefore, the GCF of 3134/736,6911/1600 is 1/36800.

Greatest Common Factor of 3134,6911

To find the highest common factor of 3134,6911, we have to find the factors of both numbers and list the highest common factor.

The factors of 3134 are 1, 2, 1567, 3134

The factors of 6911 are 1, 6911

The HCF of 3134,6911 is 1.

Lets's calculate GCF of 3134,6911

Greatest Common Factor (GCF) of 3134,6911 By Common Division

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

Greatest Common Factor of 3134,6911 By Matching Biggest Common Factor Method

Now, list down the factors of 3134

1,2,1567,3134

Now, list down the factors of 6911

1,6911

Greatest Common Factor

We found the factors 3134,6911 . The biggest common factor number is the GCF number.
So the greatest common factor 3134,6911 is 1.

Lets's calculate LCM of 736,1600

Lowest Common Multiple of 736,1600 using Common Division

2	736, 1600
2	368, 800
2	184, 400
2	92, 200
2	46, 100
	23, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 50 = 36800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36800

Therefore, the GCF of Fractions 3134/736,6911/1600 is 1/36800

Least Common Multiple of 736,1600 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 736,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,1600) = 32

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

GCF(736,1600) x common factors =32 x 1 = 32

LCM(736,1600) = ( 736 × 1600 ) / 32

LCM(736,1600) = 1177600 / 32

LCM(736,1600) = 36800

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FAQs on GCF of Fractions of 3134/736, 6911/1600

1. What is the HCF of 3134,6911?

The HCF of 3134,6911 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 3134/736, 6911/1600?

Answer: GCF of Numerators as per given numbers 3134/736, 6911/1600 is

GCF of Numerators i.e. for 3134,6911 is 1

LCM of denominators i.e. for 736,1600 is 36800.

Thus, GCF of Fractions is 1/36800.Finally, GCF of Fractions for 3134/736, 6911/1600 is 1/36800.