How to Find GCF of 5416/470, 9334/1370?

GCF of 5416/470, 9334/1370

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 5416/470, 9334/1370 i.e 2/64390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5416/470, 9334/1370.

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 5416/470,9334/1370?

Given fractions are 5416/470,9334/1370

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 5416/470,9334/1370, numerators are 5416,9334

Denominators are 470,1370

The GCF of 5416,9334 is 2 .

LCM of 470,1370 is 64390.

The greatest common factor of 5416/470,9334/1370 = [GCF of 5416,9334]/[LCM of 470,1370]= 2/64390

Therefore, the GCF of 5416/470,9334/1370 is 2/64390.

Greatest Common Factor of 5416,9334

To find the highest common factor of 5416,9334, we have to find the factors of both numbers and list the highest common factor.

The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416

The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334

The HCF of 5416,9334 is 2.

Lets's calculate GCF of 5416,9334

Greatest Common Factor (GCF) of 5416,9334 By Common Division

2	5416, 9334
	2708, 4667

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5416,9334 By Matching Biggest Common Factor Method

Now, list down the factors of 5416

1,2,4,8,677,1354,2708,5416

Now, list down the factors of 9334

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 5416,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 5416,9334 is 2.

Lets's calculate LCM of 470,1370

Lowest Common Multiple of 470,1370 using Common Division

2	470, 1370
5	235, 685
	47, 137

∴ So the LCM of the given numbers is 2 x 5 x 47 x 137 = 64390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64390

Therefore, the GCF of Fractions 5416/470,9334/1370 is 2/64390

Least Common Multiple of 470,1370 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 470,1370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,1370) = 10

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

GCF(470,1370) x common factors =10 x 1 = 10

LCM(470,1370) = ( 470 × 1370 ) / 10

LCM(470,1370) = 643900 / 10

LCM(470,1370) = 64390

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FAQs on GCF of Fractions of 5416/470, 9334/1370

1. What is the HCF of 5416,9334?

The HCF of 5416,9334 is 2

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 5416/470, 9334/1370?

Answer: GCF of Numerators as per given numbers 5416/470, 9334/1370 is

GCF of Numerators i.e. for 5416,9334 is 2

LCM of denominators i.e. for 470,1370 is 64390.

Thus, GCF of Fractions is 2/64390.Finally, GCF of Fractions for 5416/470, 9334/1370 is 2/64390.