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GCF of 2606/228, 7324/199

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 2606/228, 7324/199 i.e 2/45372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2606/228, 7324/199.

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 2606/228,7324/199?

Given fractions are 2606/228,7324/199

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 2606/228,7324/199, numerators are 2606,7324

Denominators are 228,199

The GCF of 2606,7324 is 2 .

LCM of 228,199 is 45372.

The greatest common factor of 2606/228,7324/199 = [GCF of 2606,7324]/[LCM of 228,199]= 2/45372

Therefore, the GCF of 2606/228,7324/199 is 2/45372.

Greatest Common Factor of 2606,7324

To find the highest common factor of 2606,7324, we have to find the factors of both numbers and list the highest common factor.

The factors of 2606 are 1, 2, 1303, 2606

The factors of 7324 are 1, 2, 4, 1831, 3662, 7324

The HCF of 2606,7324 is 2.

Lets's calculate GCF of 2606,7324

Greatest Common Factor (GCF) of 2606,7324 By Common Division

2 2606, 7324
1303, 3662

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

Greatest Common Factor of 2606,7324 By Matching Biggest Common Factor Method

Greatest Common Factor of 2606,7324 By Matching Biggest Common Factor Method

Now, list down the factors of 2606

:

1,2,1303,2606

Now, list down the factors of 7324

:

1,2,4,1831,3662,7324

Greatest Common Factor

We found the factors 2606,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 2606,7324 is 2.

Lets's calculate LCM of 228,199

Lowest Common Multiple of 228,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45372

Therefore, the GCF of Fractions 2606/228,7324/199 is 2/45372

Least Common Multiple of 228,199 with GCF Formula

Least Common Multiple of 228,199 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 228,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,199) = 1

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

GCF(228,199) x common factors =1 x 1 = 1

LCM(228,199) = ( 228 × 199 ) / 1

LCM(228,199) = 45372 / 1

LCM(228,199) = 45372


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FAQs on GCF of Fractions of 2606/228, 7324/199

1. What is the HCF of 2606,7324?

The HCF of 2606,7324 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 2606/228, 7324/199?

Answer: GCF of Numerators as per given numbers 2606/228, 7324/199 is

GCF of Numerators i.e. for 2606,7324 is 2

LCM of denominators i.e. for 228,199 is 45372.

Thus, GCF of Fractions is 2/45372.Finally, GCF of Fractions for 2606/228, 7324/199 is 2/45372.