How to Find GCF of 1013/943, 3237/7701?

GCF of 1013/943, 3237/7701

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 1013/943, 3237/7701 i.e 1/7262043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1013/943, 3237/7701.

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 1013/943,3237/7701?

Given fractions are 1013/943,3237/7701

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 1013/943,3237/7701, numerators are 1013,3237

Denominators are 943,7701

The GCF of 1013,3237 is 1 .

LCM of 943,7701 is 7262043.

The greatest common factor of 1013/943,3237/7701 = [GCF of 1013,3237]/[LCM of 943,7701]= 1/7262043

Therefore, the GCF of 1013/943,3237/7701 is 1/7262043.

Greatest Common Factor of 1013,3237

To find the highest common factor of 1013,3237, we have to find the factors of both numbers and list the highest common factor.

The factors of 1013 are 1, 1013

The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237

The HCF of 1013,3237 is 1.

Lets's calculate GCF of 1013,3237

Greatest Common Factor (GCF) of 1013,3237 By Common Division

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

Greatest Common Factor of 1013,3237 By Matching Biggest Common Factor Method

Now, list down the factors of 1013

1,1013

Now, list down the factors of 3237

1,3,13,39,83,249,1079,3237

Greatest Common Factor

We found the factors 1013,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,3237 is 1.

Lets's calculate LCM of 943,7701

Lowest Common Multiple of 943,7701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7262043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7262043

Therefore, the GCF of Fractions 1013/943,3237/7701 is 1/7262043

Least Common Multiple of 943,7701 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 943,7701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,7701) = 1

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

GCF(943,7701) x common factors =1 x 1 = 1

LCM(943,7701) = ( 943 × 7701 ) / 1

LCM(943,7701) = 7262043 / 1

LCM(943,7701) = 7262043

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FAQs on GCF of Fractions of 1013/943, 3237/7701

1. What is the HCF of 1013,3237?

The HCF of 1013,3237 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 1013/943, 3237/7701?

Answer: GCF of Numerators as per given numbers 1013/943, 3237/7701 is

GCF of Numerators i.e. for 1013,3237 is 1

LCM of denominators i.e. for 943,7701 is 7262043.

Thus, GCF of Fractions is 1/7262043.Finally, GCF of Fractions for 1013/943, 3237/7701 is 1/7262043.