How to Find GCF of 8083/937, 1681/8075?

GCF of 8083/937, 1681/8075

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 8083/937, 1681/8075 i.e 1/7566275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8083/937, 1681/8075.

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 8083/937,1681/8075?

Given fractions are 8083/937,1681/8075

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 8083/937,1681/8075, numerators are 8083,1681

Denominators are 937,8075

The GCF of 8083,1681 is 1 .

LCM of 937,8075 is 7566275.

The greatest common factor of 8083/937,1681/8075 = [GCF of 8083,1681]/[LCM of 937,8075]= 1/7566275

Therefore, the GCF of 8083/937,1681/8075 is 1/7566275.

Greatest Common Factor of 8083,1681

To find the highest common factor of 8083,1681, we have to find the factors of both numbers and list the highest common factor.

The factors of 8083 are 1, 59, 137, 8083

The factors of 1681 are 1, 41, 1681

The HCF of 8083,1681 is 1.

Lets's calculate GCF of 8083,1681

Greatest Common Factor (GCF) of 8083,1681 By Common Division

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

Greatest Common Factor of 8083,1681 By Matching Biggest Common Factor Method

Now, list down the factors of 8083

1,59,137,8083

Now, list down the factors of 1681

1,41,1681

Greatest Common Factor

We found the factors 8083,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 8083,1681 is 1.

Lets's calculate LCM of 937,8075

Lowest Common Multiple of 937,8075 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7566275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7566275

Therefore, the GCF of Fractions 8083/937,1681/8075 is 1/7566275

Least Common Multiple of 937,8075 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 937,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,8075) = 1

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

GCF(937,8075) x common factors =1 x 1 = 1

LCM(937,8075) = ( 937 × 8075 ) / 1

LCM(937,8075) = 7566275 / 1

LCM(937,8075) = 7566275

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FAQs on GCF of Fractions of 8083/937, 1681/8075

1. What is the HCF of 8083,1681?

The HCF of 8083,1681 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 8083/937, 1681/8075?

Answer: GCF of Numerators as per given numbers 8083/937, 1681/8075 is

GCF of Numerators i.e. for 8083,1681 is 1

LCM of denominators i.e. for 937,8075 is 7566275.

Thus, GCF of Fractions is 1/7566275.Finally, GCF of Fractions for 8083/937, 1681/8075 is 1/7566275.