How to Find GCF of 4739/698, 4733/4910?

GCF of 4739/698, 4733/4910

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 4739/698, 4733/4910 i.e 1/1713590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4739/698, 4733/4910.

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 4739/698,4733/4910?

Given fractions are 4739/698,4733/4910

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 4739/698,4733/4910, numerators are 4739,4733

Denominators are 698,4910

The GCF of 4739,4733 is 1 .

LCM of 698,4910 is 1713590.

The greatest common factor of 4739/698,4733/4910 = [GCF of 4739,4733]/[LCM of 698,4910]= 1/1713590

Therefore, the GCF of 4739/698,4733/4910 is 1/1713590.

Greatest Common Factor of 4739,4733

To find the highest common factor of 4739,4733, we have to find the factors of both numbers and list the highest common factor.

The factors of 4739 are 1, 7, 677, 4739

The factors of 4733 are 1, 4733

The HCF of 4739,4733 is 1.

Lets's calculate GCF of 4739,4733

Greatest Common Factor (GCF) of 4739,4733 By Common Division

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

Greatest Common Factor of 4739,4733 By Matching Biggest Common Factor Method

Now, list down the factors of 4739

1,7,677,4739

Now, list down the factors of 4733

1,4733

Greatest Common Factor

We found the factors 4739,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 4739,4733 is 1.

Lets's calculate LCM of 698,4910

Lowest Common Multiple of 698,4910 using Common Division

2	698, 4910
	349, 2455

∴ So the LCM of the given numbers is 2 x 349 x 2455 = 1713590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1713590

Therefore, the GCF of Fractions 4739/698,4733/4910 is 1/1713590

Least Common Multiple of 698,4910 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 698,4910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,4910) = 2

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

GCF(698,4910) x common factors =2 x 1 = 2

LCM(698,4910) = ( 698 × 4910 ) / 2

LCM(698,4910) = 3427180 / 2

LCM(698,4910) = 1713590

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FAQs on GCF of Fractions of 4739/698, 4733/4910

1. What is the HCF of 4739,4733?

The HCF of 4739,4733 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 4739/698, 4733/4910?

Answer: GCF of Numerators as per given numbers 4739/698, 4733/4910 is

GCF of Numerators i.e. for 4739,4733 is 1

LCM of denominators i.e. for 698,4910 is 1713590.

Thus, GCF of Fractions is 1/1713590.Finally, GCF of Fractions for 4739/698, 4733/4910 is 1/1713590.