How to Find GCF of 374/705, 4616/469?

GCF of 374/705, 4616/469

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 374/705, 4616/469 i.e 2/330645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/705, 4616/469.

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 374/705,4616/469?

Given fractions are 374/705,4616/469

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 374/705,4616/469, numerators are 374,4616

Denominators are 705,469

The GCF of 374,4616 is 2 .

LCM of 705,469 is 330645.

The greatest common factor of 374/705,4616/469 = [GCF of 374,4616]/[LCM of 705,469]= 2/330645

Therefore, the GCF of 374/705,4616/469 is 2/330645.

Greatest Common Factor of 374,4616

To find the highest common factor of 374,4616, we have to find the factors of both numbers and list the highest common factor.

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616

The HCF of 374,4616 is 2.

Lets's calculate GCF of 374,4616

Greatest Common Factor (GCF) of 374,4616 By Common Division

2	374, 4616
	187, 2308

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

Greatest Common Factor of 374,4616 By Matching Biggest Common Factor Method

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Now, list down the factors of 4616

1,2,4,8,577,1154,2308,4616

Greatest Common Factor

We found the factors 374,4616 . The biggest common factor number is the GCF number.
So the greatest common factor 374,4616 is 2.

Lets's calculate LCM of 705,469

Lowest Common Multiple of 705,469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 330645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330645

Therefore, the GCF of Fractions 374/705,4616/469 is 2/330645

Least Common Multiple of 705,469 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 705,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,469) = 1

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

GCF(705,469) x common factors =1 x 1 = 1

LCM(705,469) = ( 705 × 469 ) / 1

LCM(705,469) = 330645 / 1

LCM(705,469) = 330645

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FAQs on GCF of Fractions of 374/705, 4616/469

1. What is the HCF of 374,4616?

The HCF of 374,4616 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 374/705, 4616/469?

Answer: GCF of Numerators as per given numbers 374/705, 4616/469 is

GCF of Numerators i.e. for 374,4616 is 2

LCM of denominators i.e. for 705,469 is 330645.

Thus, GCF of Fractions is 2/330645.Finally, GCF of Fractions for 374/705, 4616/469 is 2/330645.