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GCF of 2683/332, 8114/332

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 2683/332, 8114/332 i.e 1/332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2683/332, 8114/332.

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 2683/332,8114/332?

Given fractions are 2683/332,8114/332

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 2683/332,8114/332, numerators are 2683,8114

Denominators are 332,332

The GCF of 2683,8114 is 1 .

LCM of 332,332 is 332.

The greatest common factor of 2683/332,8114/332 = [GCF of 2683,8114]/[LCM of 332,332]= 1/332

Therefore, the GCF of 2683/332,8114/332 is 1/332.

Greatest Common Factor of 2683,8114

To find the highest common factor of 2683,8114, we have to find the factors of both numbers and list the highest common factor.

The factors of 2683 are 1, 2683

The factors of 8114 are 1, 2, 4057, 8114

The HCF of 2683,8114 is 1.

Lets's calculate GCF of 2683,8114

Greatest Common Factor (GCF) of 2683,8114 By Common Division

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

Greatest Common Factor of 2683,8114 By Matching Biggest Common Factor Method

Greatest Common Factor of 2683,8114 By Matching Biggest Common Factor Method

Now, list down the factors of 2683

:

1,2683

Now, list down the factors of 8114

:

1,2,4057,8114

Greatest Common Factor

We found the factors 2683,8114 . The biggest common factor number is the GCF number.
So the greatest common factor 2683,8114 is 1.

Lets's calculate LCM of 332,332

Lowest Common Multiple of 332,332 using Common Division

2 332, 332
2 166, 166
83 83, 83
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 83 x 1 x 1 = 332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332

Therefore, the GCF of Fractions 2683/332,8114/332 is 1/332

Least Common Multiple of 332,332 with GCF Formula

Least Common Multiple of 332,332 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 332,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,332) = 332

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

GCF(332,332) x common factors =332 x 1 = 332

LCM(332,332) = ( 332 × 332 ) / 332

LCM(332,332) = 110224 / 332

LCM(332,332) = 332


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FAQs on GCF of Fractions of 2683/332, 8114/332

1. What is the HCF of 2683,8114?

The HCF of 2683,8114 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 2683/332, 8114/332?

Answer: GCF of Numerators as per given numbers 2683/332, 8114/332 is

GCF of Numerators i.e. for 2683,8114 is 1

LCM of denominators i.e. for 332,332 is 332.

Thus, GCF of Fractions is 1/332.Finally, GCF of Fractions for 2683/332, 8114/332 is 1/332.