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GCF of 8711/342, 3203/3302

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 8711/342, 3203/3302 i.e 1/564642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8711/342, 3203/3302.

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 8711/342,3203/3302?

Given fractions are 8711/342,3203/3302

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 8711/342,3203/3302, numerators are 8711,3203

Denominators are 342,3302

The GCF of 8711,3203 is 1 .

LCM of 342,3302 is 564642.

The greatest common factor of 8711/342,3203/3302 = [GCF of 8711,3203]/[LCM of 342,3302]= 1/564642

Therefore, the GCF of 8711/342,3203/3302 is 1/564642.

Greatest Common Factor of 8711,3203

To find the highest common factor of 8711,3203, we have to find the factors of both numbers and list the highest common factor.

The factors of 8711 are 1, 31, 281, 8711

The factors of 3203 are 1, 3203

The HCF of 8711,3203 is 1.

Lets's calculate GCF of 8711,3203

Greatest Common Factor (GCF) of 8711,3203 By Common Division

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

Greatest Common Factor of 8711,3203 By Matching Biggest Common Factor Method

Greatest Common Factor of 8711,3203 By Matching Biggest Common Factor Method

Now, list down the factors of 8711

:

1,31,281,8711

Now, list down the factors of 3203

:

1,3203

Greatest Common Factor

We found the factors 8711,3203 . The biggest common factor number is the GCF number.
So the greatest common factor 8711,3203 is 1.

Lets's calculate LCM of 342,3302

Lowest Common Multiple of 342,3302 using Common Division

2 342, 3302
171, 1651

∴ So the LCM of the given numbers is 2 x 171 x 1651 = 564642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564642

Therefore, the GCF of Fractions 8711/342,3203/3302 is 1/564642

Least Common Multiple of 342,3302 with GCF Formula

Least Common Multiple of 342,3302 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 342,3302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,3302) = 2

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

GCF(342,3302) x common factors =2 x 1 = 2

LCM(342,3302) = ( 342 × 3302 ) / 2

LCM(342,3302) = 1129284 / 2

LCM(342,3302) = 564642


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FAQs on GCF of Fractions of 8711/342, 3203/3302

1. What is the HCF of 8711,3203?

The HCF of 8711,3203 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 8711/342, 3203/3302?

Answer: GCF of Numerators as per given numbers 8711/342, 3203/3302 is

GCF of Numerators i.e. for 8711,3203 is 1

LCM of denominators i.e. for 342,3302 is 564642.

Thus, GCF of Fractions is 1/564642.Finally, GCF of Fractions for 8711/342, 3203/3302 is 1/564642.