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GCF of 701/328, 2659/666

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 701/328, 2659/666 i.e 1/109224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 701/328, 2659/666.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 701/328,2659/666?

Given fractions are 701/328,2659/666

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 701/328,2659/666, numerators are 701,2659

Denominators are 328,666

The GCF of 701,2659 is 1 .

LCM of 328,666 is 109224.

The greatest common factor of 701/328,2659/666 = [GCF of 701,2659]/[LCM of 328,666]= 1/109224

Therefore, the GCF of 701/328,2659/666 is 1/109224.

Greatest Common Factor of 701,2659

To find the highest common factor of 701,2659, we have to find the factors of both numbers and list the highest common factor.

The factors of 701 are 1, 701

The factors of 2659 are 1, 2659

The HCF of 701,2659 is 1.

Lets's calculate GCF of 701,2659

Greatest Common Factor (GCF) of 701,2659 By Common Division

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

Greatest Common Factor of 701,2659 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,2659 By Matching Biggest Common Factor Method

Now, list down the factors of 701

:

1,701

Now, list down the factors of 2659

:

1,2659

Greatest Common Factor

We found the factors 701,2659 . The biggest common factor number is the GCF number.
So the greatest common factor 701,2659 is 1.

Lets's calculate LCM of 328,666

Lowest Common Multiple of 328,666 using Common Division

2 328, 666
164, 333

∴ So the LCM of the given numbers is 2 x 164 x 333 = 109224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109224

Therefore, the GCF of Fractions 701/328,2659/666 is 1/109224

Least Common Multiple of 328,666 with GCF Formula

Least Common Multiple of 328,666 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 328,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,666) = 2

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

GCF(328,666) x common factors =2 x 1 = 2

LCM(328,666) = ( 328 × 666 ) / 2

LCM(328,666) = 218448 / 2

LCM(328,666) = 109224


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FAQs on GCF of Fractions of 701/328, 2659/666

1. What is the HCF of 701,2659?

The HCF of 701,2659 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 701/328, 2659/666?

Answer: GCF of Numerators as per given numbers 701/328, 2659/666 is

GCF of Numerators i.e. for 701,2659 is 1

LCM of denominators i.e. for 328,666 is 109224.

Thus, GCF of Fractions is 1/109224.Finally, GCF of Fractions for 701/328, 2659/666 is 1/109224.