How to Find GCF of 3454/711, 5612/638?

GCF of 3454/711, 5612/638

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 3454/711, 5612/638 i.e 2/453618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3454/711, 5612/638.

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 3454/711,5612/638?

Given fractions are 3454/711,5612/638

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 3454/711,5612/638, numerators are 3454,5612

Denominators are 711,638

The GCF of 3454,5612 is 2 .

LCM of 711,638 is 453618.

The greatest common factor of 3454/711,5612/638 = [GCF of 3454,5612]/[LCM of 711,638]= 2/453618

Therefore, the GCF of 3454/711,5612/638 is 2/453618.

Greatest Common Factor of 3454,5612

To find the highest common factor of 3454,5612, we have to find the factors of both numbers and list the highest common factor.

The factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454

The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612

The HCF of 3454,5612 is 2.

Lets's calculate GCF of 3454,5612

Greatest Common Factor (GCF) of 3454,5612 By Common Division

2	3454, 5612
	1727, 2806

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

Greatest Common Factor of 3454,5612 By Matching Biggest Common Factor Method

Now, list down the factors of 3454

1,2,11,22,157,314,1727,3454

Now, list down the factors of 5612

1,2,4,23,46,61,92,122,244,1403,2806,5612

Greatest Common Factor

We found the factors 3454,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 3454,5612 is 2.

Lets's calculate LCM of 711,638

Lowest Common Multiple of 711,638 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 453618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453618

Therefore, the GCF of Fractions 3454/711,5612/638 is 2/453618

Least Common Multiple of 711,638 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 711,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,638) = 1

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

GCF(711,638) x common factors =1 x 1 = 1

LCM(711,638) = ( 711 × 638 ) / 1

LCM(711,638) = 453618 / 1

LCM(711,638) = 453618

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FAQs on GCF of Fractions of 3454/711, 5612/638

1. What is the HCF of 3454,5612?

The HCF of 3454,5612 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 3454/711, 5612/638?

Answer: GCF of Numerators as per given numbers 3454/711, 5612/638 is

GCF of Numerators i.e. for 3454,5612 is 2

LCM of denominators i.e. for 711,638 is 453618.

Thus, GCF of Fractions is 2/453618.Finally, GCF of Fractions for 3454/711, 5612/638 is 2/453618.