How to Find GCF of 6706/241, 5714/7607?

GCF of 6706/241, 5714/7607

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 6706/241, 5714/7607 i.e 2/1833287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6706/241, 5714/7607.

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 6706/241,5714/7607?

Given fractions are 6706/241,5714/7607

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 6706/241,5714/7607, numerators are 6706,5714

Denominators are 241,7607

The GCF of 6706,5714 is 2 .

LCM of 241,7607 is 1833287.

The greatest common factor of 6706/241,5714/7607 = [GCF of 6706,5714]/[LCM of 241,7607]= 2/1833287

Therefore, the GCF of 6706/241,5714/7607 is 2/1833287.

Greatest Common Factor of 6706,5714

To find the highest common factor of 6706,5714, we have to find the factors of both numbers and list the highest common factor.

The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706

The factors of 5714 are 1, 2, 2857, 5714

The HCF of 6706,5714 is 2.

Lets's calculate GCF of 6706,5714

Greatest Common Factor (GCF) of 6706,5714 By Common Division

2	6706, 5714
	3353, 2857

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

Greatest Common Factor of 6706,5714 By Matching Biggest Common Factor Method

Now, list down the factors of 6706

1,2,7,14,479,958,3353,6706

Now, list down the factors of 5714

1,2,2857,5714

Greatest Common Factor

We found the factors 6706,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 6706,5714 is 2.

Lets's calculate LCM of 241,7607

Lowest Common Multiple of 241,7607 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1833287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1833287

Therefore, the GCF of Fractions 6706/241,5714/7607 is 2/1833287

Least Common Multiple of 241,7607 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 241,7607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,7607) = 1

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

GCF(241,7607) x common factors =1 x 1 = 1

LCM(241,7607) = ( 241 × 7607 ) / 1

LCM(241,7607) = 1833287 / 1

LCM(241,7607) = 1833287

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FAQs on GCF of Fractions of 6706/241, 5714/7607

1. What is the HCF of 6706,5714?

The HCF of 6706,5714 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 6706/241, 5714/7607?

Answer: GCF of Numerators as per given numbers 6706/241, 5714/7607 is

GCF of Numerators i.e. for 6706,5714 is 2

LCM of denominators i.e. for 241,7607 is 1833287.

Thus, GCF of Fractions is 2/1833287.Finally, GCF of Fractions for 6706/241, 5714/7607 is 2/1833287.