How to Find GCF of 7633/215, 5189/5831?

GCF of 7633/215, 5189/5831

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 7633/215, 5189/5831 i.e 1/1253665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7633/215, 5189/5831.

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 7633/215,5189/5831?

Given fractions are 7633/215,5189/5831

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 7633/215,5189/5831, numerators are 7633,5189

Denominators are 215,5831

The GCF of 7633,5189 is 1 .

LCM of 215,5831 is 1253665.

The greatest common factor of 7633/215,5189/5831 = [GCF of 7633,5189]/[LCM of 215,5831]= 1/1253665

Therefore, the GCF of 7633/215,5189/5831 is 1/1253665.

Greatest Common Factor of 7633,5189

To find the highest common factor of 7633,5189, we have to find the factors of both numbers and list the highest common factor.

The factors of 7633 are 1, 17, 449, 7633

The factors of 5189 are 1, 5189

The HCF of 7633,5189 is 1.

Lets's calculate GCF of 7633,5189

Greatest Common Factor (GCF) of 7633,5189 By Common Division

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

Greatest Common Factor of 7633,5189 By Matching Biggest Common Factor Method

Now, list down the factors of 7633

1,17,449,7633

Now, list down the factors of 5189

1,5189

Greatest Common Factor

We found the factors 7633,5189 . The biggest common factor number is the GCF number.
So the greatest common factor 7633,5189 is 1.

Lets's calculate LCM of 215,5831

Lowest Common Multiple of 215,5831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1253665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1253665

Therefore, the GCF of Fractions 7633/215,5189/5831 is 1/1253665

Least Common Multiple of 215,5831 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 215,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,5831) = 1

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

GCF(215,5831) x common factors =1 x 1 = 1

LCM(215,5831) = ( 215 × 5831 ) / 1

LCM(215,5831) = 1253665 / 1

LCM(215,5831) = 1253665

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FAQs on GCF of Fractions of 7633/215, 5189/5831

1. What is the HCF of 7633,5189?

The HCF of 7633,5189 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 7633/215, 5189/5831?

Answer: GCF of Numerators as per given numbers 7633/215, 5189/5831 is

GCF of Numerators i.e. for 7633,5189 is 1

LCM of denominators i.e. for 215,5831 is 1253665.

Thus, GCF of Fractions is 1/1253665.Finally, GCF of Fractions for 7633/215, 5189/5831 is 1/1253665.